CURRICULUM VITAE PROF. DR. NASSER HASSAN SWEILAM CAIRO UNIVERSITY *********************

Transcription

1 CURRICULUM VITAE PROF. DR. NASSER HASSAN SWEILAM CAIRO UNIVERSITY ********************* Name: Nasser Hassan Sweilam First Name: Nasser Family Name: Sweilam Date of Birth: , Place of Birth: Suez-Egypt, Sex: Male. Martial Status: Married (with three childern). Address: Cairo University, Faculty of Science, Department of Mathematics, Giza , Egypt. Telephone: Mobile: , Home: address: n sweilam@yahoo.com, nsweilam@sci.cu.edu.eg Nationality: Egyptian. Education: Secondary: University: G.S.C Suez Secondary School, Egypt. -B.Sc. Mathematics, May 1981, Cairo University, Faculty of Science. -M.Sc. Preliminary year 1984, Cairo University, Faculty of Science. 1

2 -M.Sc. Thesis Some Numerical Methods for the Solution of Integral and Integro-differential Equations. (10/1988), Cairo University. -Registered for Ph.D., 1989, under the Supervision of Prof. Dr. Karl Heins Hoffmann, Institute of Mathematics, Technical University of Munich, Germany and Prof. Dr. L. F. Abd-elal, Cairo University, Faculty of Science, Department of Mathematics-Egypt, in the area: Optimal Control of Quasistationary Variational Inequalities, the Dam Problem. Mathematical Analysis and Numerical Approach to , Deutscher Akademischer Austauschdienst (DAAD) fellowship (Channel System)for Ph.D. in Germany. -From to Ph.D. student in Augsburg University and Ludwig-Maximilians University Munich, Germany. -Ph.D. Thesis Optimal Control of Quasistationary Variational Inequalities, the Dam Problem. Mathematical Analysis and Numerical Approach. (2/1994), Cairo University. Additional Graduate Courses; Summer Schools : Summer Courses in Functional Analysis and Numerical Analysis, Perugia, Italy in Augest 1985 under a fellowship from Scuola Matematica Interunivrsitaria. -Summer Course in Numerical Analysis Finite Element Method Cortona, Italy in July 8-28, 1990 under a fellowship from Scuola Matematica Interunivrsitaria. -School on Numerical Simulation of Partial Differential Equations: Methods, Algorithms, Applications. Trieste, Italy, September 9 27, 1996 under the fellowship from International Center For Theoretical Physics. Attended Conferences: -Workshop on Filtration and Nonlinear Diffusion Processes. Augsburg University (Germany), October 24 26,

3 -International Conference on Optimal Control, Irsee (Germany), July 21 24, Workshop on Numerical and Computational Methods for Free Boundary Problems, Freiburg i. Br. University (Germany), September 4 5, I gave a contributed talk entitled Gradient-Type Algorithm for the Numerical Solution of Optimal Control Time Dependent Dam Problem -Conference on Recent Advances in Numerical Methods for Partial Differential Equations, Trieste, Italy, September 23 29, I gave a contributed talk entitled Numerical Simulation of the Optimal Control Evolution Dam Problem. -International Conference of Environmental Research Division On Sustainable Development Environmental Challenges Facing Egypt, 5-7 June, 2004, I gave a contributed talk entitled A Computational Approach for the Optimal Control System of Dams. 6 th PAN-African Congress of Mathematics, Tunis, Sept ,2004, I gave a contributed talk entitled Particle Swarm Optimization for the Determination of depths from gravity data 8 th International conference on parametric optimization and related topics, Cairo-Egypt, November 27- December 1, 2005, I gave a contributed talk entitled Self Potential Inversion Using Particle Swarm Optimization. 40 th Annual conference for statistics, computer science, and operations research, Cairo-Egypt, 3-6 December, 2005, we gave a contributed talk entitled Neural Networks for Solving Ill-posed Inversion Problems Arising from Fredholm Integral Equations for Retrieving Vertical Atmospheric Temperature Profiles. 3

4 -International conference on mathematical analysis and its applications (ICMAA 2006), Assiut-Egypt, 3-6 Jan. 2006, I gave a contributed talk entitled Comparison Of Higher order Accurate Methods for Solving Harmonic Wave Generation in Non -linear Thermoelasticity. -Qatar University Research Forum 2008, Qatar, April 29, I gave a contributed talk entitled A computational approach for optimal control Systems governed by variational inequalities. 2 th Annual CAS Research Fair, Qatar University, May 21-22, 2008., I gave a contributed talk entitled, Optimal control of the Dam Problem. -German-Egyptian Cooperation-On the Rode to Success- First Annual Meeting, Cairo University, November 9-10, Workshop on Energy, Irrigation and Soil Management in Rural Desert Settlement, Cairo Univ., Conference Center, November 11, The Synchrotron Light Applications, SESAME-JSPS School, Cairo University, Conference Center, November 17-22, Coordinator of the One Day Congress on: Computational Methods for Linear and Nonlinear Systems, Department of Mathematics, Faculty of Science, Cairo University, June 25, The second international conference on Numerical Analysis and Optimization (ICNAO2011),Sultan Qaboos University, Muscat, Oman 3-6 Jan. 2011,I gave a contributed talk entitled : Numerical Studies for the Variable-Order Nonlinear Fractional Wave Equation. -Coordinator of the One Day Congress on: Computational Methods for Linear and Nonlinear Systems, Department of Mathematics, 4

5 Faculty of Science, Cairo University, Feb. 3, Workshop on Revolution of Nanotechnology, Egyptian National Commission for UNESCO, Cairo, November 27-29, I gave a talk entitled On the Approximate Solutions Of the Nonlinear Vibrations of Multiealled Carbon Nanotubes. - The 8th International Conference on Informatics and Systems (INFOS 2012) May 14-16, 2012, I gave a talk entitled On the Parallel Iterative Finite Difference Algorithm for 2-D Poisson s Equation with MPI Cluster. -The the 19th International Conference on Difference Equations and Applications (ICDEA2013), Sultan Qaboos University, Muscat, Oman, May 26-30, 2013, I gave a talk entitled On the Numerical Simulation of the Fractional Cable Equation. -Coordinator of the One Day Congress on: Computational Methods for Linear and Nonlinear Systems, Department of Mathematics, Faculty of Engineering, Cairo University, June The 3th International Conference on Mathematics and Inform. Sciences, Luxor, December 28-30, 2013, I gave a talk entitled: Numerical Studies for Some Types of Fractional Optimal Control. - The 3th International Conference on Numerical Analysis and Optimization (NAOIII 2014), Muscat, Oman, January 5-9, 2014, I gave a talk entitled Legender Spectral Method for Study Some Types of Fractional Optimal Control. -Plenary speaker in the workshop Numerical Simulation of Evolutionary Processes At the instituto per Applicazioni del Calcolo M. Picone (IAC), CNR, Area della Ricerca di Bari, Bari, Italy, January 14-16, I gave a lecture entitled On 5

6 the Fractional Order Differential Equations for Real Life Models. - The principal delegate of the Egyptian National Committee for Mathematics, for the IMU general assembly meeting in Gyeongju. August 10-11, 2014, Gyeongju. Korea. - Conference of Mathematics and Its Applications-2014 November 14 17, 2014, Kuwait City, Kuwait. I gave a talk entitled Numerical Simulations for a Variable Order Fractional Cable Equation. Post Doctoral Fellowships: -European Science Foundation (ESF) fellowship in TU-Munich, Germany, September 6 30, 1995 under supervision of Prof. Dr. Karl Heins Hoffmann, for Post Doctoral research work. -Deutscher Akademischer Austausschdienst (DAAD) fellowship in Augsburg university, Augsburg, Germany, from to under supervision of Prof. Dr. Ronald H. W. Hoppe, for Post Doctoral research work. -Deutscher Akademischer Austausschdienst (DAAD) fellowship in Augsburg university, Augsburg, Germany, from to under supervision of Prof. Dr. Ronald H. W. Hoppe, for Post Doctoral research work. -Joint Institute of Nuclear Research (JINR), Dubna, Russia, 6

7 February 7-12, Deutscher Akademischer Austausschdienst (DAAD) fellowship in Augsburg university, Augsburg, Germany, from to under supervision of Prof. Dr. Ronald H. W. Hoppe. -Joint Institute of Nuclear Research (JINR), Dubna, Russia, August 25-30,

8 Employment Experience: -Oct Oct. 1988; Demonstrator at the Department of Mathematics, Faculty of Science, Cairo University, Egypt. -Oct Sept. 1994; Assistant Lecturer at the Department of Mathematics, Faculty of Science, Cairo University. -Lecturer at the Department of Mathematics, Faculty of Science, Cairo University, from October 1994 to September Assistant Professor at the Department of Mathematics, Faculty of Eduction, Salalah, Oman, from September 1997-July Associate Professor at the Dept. of Mathematics, Faculty of Science, Cairo University, from October, 2002 to November, Professor at the Department of Mathematics, Faculty of Science, Cairo University, since November, Visiting Professor at the Department of Mathematics, College of Science, Sultan Qaboos University, Oman, June Aug Visiting Professor at the Department of Mathematics, College of Science, Sultan Qaboos University, Oman, Sept Dec Visiting Professor at the Department of Mathematics, College of Science, Sultan Qaboos University, Oman, Sept Dec Professor at the Department of Mathematics,Faculty of Science, King Khalid University, KSA, Nov Jun During the last semesters I taught many courses including Numerical Analysis Using Matlab, Numerical Methods for Ordinary and Partial Differential Equations Using Matlab, Finite Elements Method; Theory and Applications, for the M.Sc. and Ph.D. Students. Partial Differential Equations, Optimization; Theory and Applications, Linear Algebra, Computational Methods for Fluid Mechanics using FEM and FDM, and Calculus I, II, III, Using Matlab. Optimal Control for differential equations. -Teaching responsibilities include lecturing, supervising computer 8

9 labs, problem solving classes and the preparation and correction of final exams. Languages : (in decreasing order of perfection) Arabic, English, German. Programming Languages : Matlab, Mathematica, and Fortran. Present Position: Head of Mathematics Department, Faculty of Science, Cairo University. - Professor of Numerical Analysis, Cairo University, Faculty of Science, Department of Mathematics. Thesis Supervision : (1) Ph.D. thesis entitled Geophysical Data Interpretation Using New Optimization Techniques ,Faculty of Science, Cairo Univ. (Student name: Maha Abd El-Azeem ) (2) Ph.D. thesis entitled Efficient numerical Methods for Solving Coupled System of Partial Differential Equations ,Faculty of Science, Banha University, (Student name: Mohamed Meabed Bayomi ) (3) Ph.D. thesis entitled Numerical Solutions of the Coupled Systems of Non- Linear Partial Differential Equations and their Optimal Control ,Faculty of Science, Cairo Uni., (Student name: Rabab Fadul Al-Bar ) (4) Ph.D. thesis entitled Numerical Studies for Linear and Non- Linear Fractional Order Differential Equations and their Optimal Control ,Faculty of Science, Zagazig Uni., (Student name: Amr Mahdy ) (5) Ph.D. thesis entitled Numerical studies for Anomalous Subdiffusion equations, , Fac. of Science, Cairo Univ. (Student name: Mohamed Adel.) 9

10 (6) Ph.D. thesis entitled Numerical Simulations of Some Reallife Problems Modeled by Systems of Differential Equations, 2012-, Fac. of Science, Cairo Univ. (Student: Taghreed Assiri.) (7) M.Sc. thesis entitled On the Numerical Solutions of Ill- Posed Problems , Faculty of Science, Benha Univ. (Student name: Abd-Elhamed Nagi ) (8) M.Sc. thesis entitled Effects of Current Variations on Wave Fronts Near Steady States in an Excitable Medium , Faculty of Science, Cairo University (Student name: Mohamed Safaa Mohamed Osman) (9) M.Sc. thesis entitled Neural Networks and their Mathematical Applications, , Faculty of Science, Cairo University. (Student name: Mohammad Sammany) (10) M.Sc. thesis entitled Optimal control of variational inequalities subjected to constrains ,Faculty of Sci., Benha University. (Student name: Heba El Sayed Fathy ) (11) M.Sc. thesis entitled Discontinuous Galerkin Method Coupled with Finite Element method for singular Problems, , Fac. of Science, Al-azhar Univ., (Student name: Fatma El Bahrawy) (12) M.Sc. thesis entitled Hybrid Optimization Techniques for Cancer Diagnosis Models , Faculty of Science, Cairo University. (Student name: Nermeen K. Abd-ElMoniem) (13) M.Sc. thesis entitled Multigrid Finite Element Method 10

11 for PDEs and their Optimal Control , Fac. of Science, Cairo Uni. (Student name: Ayate M. Abu El-Khair.) (14) M.Sc. thesis entitled Numerical studies for fractional order differential and Integro-differential equations, , Fac. of Science, Cairo Univ. (Student name: Mohamed Adel.) (15) M.Sc. thesis entitled Explicit Finite Difference Approximations for Variable-Order Non-Linear Fractional Differential equations, , Fac. of Science, Cairo Univ. (Student name: Hanan M. Almrawm) (16) M.Sc. thesis entitled A Posteriori Error Estimation and Adaptive Solutions for Variational Inequalities, , Fac. of Science, Cairo Univ. (Student name: Faiz M. S. Atlan (17) M.Sc. thesis entitled Pseudo-Spectral Solution for Fractional Order Differential Equations, Fac. of Science, Cairo Univ. (Student name: Taghreed Abd-Elrahman (18) M.Sc. thesis entitled Adaptive Methods for the Numerical Solution of State Constrained Optimal Control Problems for Parabolic Variational Inequalities equations, , Fac. of Science, Cairo Univ. (Student name: Tamer Mostafa) (19) M.Sc. thesis entitled Numerical Studies for Integral and Integro-Differential Equations, , Fac. of Science, Mansoura Univ, Br. Damietta. (Student name: Wafaa Kota) 11

12 (20) M.Sc. thesis entitled Numerical studies for fractional -order delay differential equations , Fac. of Science, Cairo Univ,(Student name: Negma Youns) (21) M.Sc. thesis entitled Comparative Studies and Developments of Different Methods for Image Restoration, 2011-, Fac. of Science, Cairo Univ,(Student name: Amira Sayed) Faraj Ali Younis) (21) M.Sc. thesis entitled Numerical Studies for Time Dependent Fractional Differential Equations, , Fac. of Science, Cairo Univ,(Student name: Tebra Equations Mustafa Abou Hasan) (21) M.Sc. thesis entitled Numerical Studies of Differential and their Applications in Financial Mathematics, , Fac. of Science, Cairo Univ,(Student name: Muner Memberships of Professional Organizations : (1) Member and Reviewer of the American Mathematical Society (AMS), Since (2) Member of the Egyptian Mathematical Society, Since Awarded Prizes : Awarded Cairo University prize for the distinct researches in Mathematics (2004). Cairo University Award for Excellence Basic Science - in 12

13 Mathematics, (2012). Important Scientific Activities: (1) Associate editor (Research Journal of Mathematics and Statistics). (2) Associate editor (Egyptian-Chinese of Computational and Applied Mathematics, ISSN ). (3) Member in the Editorial board of the Mathematical and Physical Society of Egypt Journal. (4) Associate editor (Journal of Advanced Research (5) Editor (Journal of Fractional Calculus and Applications (6) Editor (the journal Mathematical Sciences Letter (7) Referee for several International and National scientific Journals. Attended Faculty and Leadership Development Workshops : (1) Workshop on Credit Hours System, Cairo University, March, (2) Workshop on Teaching Evaluation Cairo University, January, (3) Workshop on E-Learning, Cairo University, January, (4) Workshop on Writing and International Publications for Research Articles Cairo University, 5-7 February, (5) Workshop on Using the New Technology in Eduction, Cairo University, February, (6) Workshop on Development of Administrative Skills Cairo University, February, (7) Workshop on Team Building for Team Leaders DAAD, Cairo University, 15 February, Research Interests : (i) Computational fluid mechanics and thermoelasticity. 13

14 (ii) Numerical simulation of nonlinear partial differential equations using finite elements method. (iii) Numerical solution of integral equations and integro-differential equations. (iv) Numerical simulation of ill-posed systems. (vi) Optimal control of variational inequalities and their numerical methods. (vii) Optimization, theory and applications. Projects: (i) Coordinator of the research project title: Mathematical Modeling of Genetic Regulatory Networks in Bacterial and Higher Eukaryotic Cells. This research project between Joint Institute for Nuclear Research (JINR), Russia and Academy of Scientific Research and Technology - ASRT, (ii) Coordinator of the research project title: Molecular Dynamics Research (MD simulation studies for the radiobiological problems. This research project between Joint Institute for Nuclear Research (JINR), Russia and Academy of Scientific Research and Technology - ASRT, (iii) Coordinator of the research project title: Development of Grid segment at Cairo University and its integration to the JINR GridEdu infrastructure : This research project between Joint Institute for Nuclear Research (JINR), Russia and Academy of Scientific Research and Technology - ASRT, Scientific committees: I have participated in several committees including: (1)Deputy Chairman of the National Committee for Mathematics, Academy of of Scientific Research, Egypt, starting from October (2) Member of the promotion committee of professors and associate Professors (mathematics) Supreme Council of Universities - Egypt starting from July (3) Reviewer in the promotion committee of professors and associate professors (mathematics), Supreme Council of Universities - Egypt starting from

15 (5) Member of the committee preparing the research plan for the University of Cairo (6) Deputy Director of the Center of Cairo University s electronic services and knowledge of the affairs of the development of management information systems in Feb (7) Director of the E- learning unit, Faculty of Science - Cairo University since, May (8) Director of the Information Technology Unit, Faculty of Science - Cairo University since January (9) Member of the scientific projects by the Academy of Scientific Research with the Joint Institute for Nuclear Physics Dubna - Russia

16 List Of Publications: (1) N. H. Sweilam, A. M. Nagy, Adel A. El-Sayed, Second kind shifted Chebyshev polynomials for solving space fractional order diffusion equation, Chaos, Solitons & Fractals 73, (2015) (2) N. H. SWEILAM, T. A. ASSIRI, Non-Standard Crank-Nicholson Method for Solving the Variable Order Fractional Cable Equation, Appl. Math. Inf. Sci. 9, No. 2, 1-9 (2015). (3) N. H. SWEILAM, S. A.Ghwail, Semi-Analytical Solution for the Multicell Spheroid model for Vascular Tumor Growth, Math. Sci. Lett. 4, No. 1, 1-5 (2015). (4) N. H. SWEILAM, T. F. Almajbri, Large Stability Regions Method for the Two-dimensional Fractional Diffusion Equation, Progr. Fract. Differ. Appl. 1, No. 2, (2015). (5) N. H. SWEILAM, S. M. AL-Mekhlafi, Comparative Study for Multi- Strain Tuberculosis (TB) Model of Fractional Order, Accepted in Applied Mathematics & Information Sciences, in Press (6) N. H. Sweilam, A. M. Nagy, T. A. Assiri, N.Y.ALI, Numerical Simulations for Variable-Order Fractional Nonlinear Delay Differential Equations, Journal of Fractional Calculus and Applications, Vol. 6(1), pp , Jan. (2015). (7) N. H. Sweilam, Hatem Moharram, Usama A. Badawi and Omnia Ismail, Online Algorithm Based Fault Tolerance Scheme using Diskless Checkpointing for Solving Sparse Linear Systems, Accepted in Applied Mathematics and Information Sciences, in Press (2015) 2) (8) N. H. SWEILAM, A. M. NAGY, T. H. Farag and A. S. Abo-Elyazed1, Comparative Studies for Different Image Restoration Methods, Math. Sci. Lett. 4, No. 2, 1-8 (2015). 16

17 (9) N. H. Sweilam, A.M.Nagy, An efficient method for solving fractional Hodgkin-Huxley model, Physics Letters A 378, ,(2014). (10) N. H. Sweilam, M. M. Khader, A. M. S. Mahdy and N. K. Abdel Moniem, Numerical Simulation for the Fractional SIRC Model and Influenza A, Appl. Math. Inf. Sci. 8, No. 3, 1-8 (2014). (11) Nasser SWEILAM, M. M. KHADER, M. ADEL, Weighted Average Finite Difference Methods for Fractional Order Reaction-Subdiffusion Equation, Walailak Journal of Science and Technology (WJST), Vol 11, No 2-3 (2014). (12) Nasser SWEILAM, S. A.Ghwail, Semi-analytical Solution for the Multicell Spheroid model for Vascular Tumor Growth, Math. Sci. Lett. 4, No. 1, 1-5 (2015). (13) N. H. Sweilam, A. M. Nagy, T. F. Almajbri, Error Analysis of an Explicit Finite Difference Approximation for the Two-Dimensional Space Fractional Diffusion Equation, Journal of Fractional Calculus and Applications, Vol. 5(3S) No. 15, pp. 1-10, (6th. Symp. Frac. Calc. Appl. August 4, 2014). (14) N. H. Sweilam, M. M. Khader, A. M. S. Mahdy, An approximate analytical solution for system of non-linear fractional diffusion equations, Jokull journal, Vol 64, No. 4;Apr 2014 (15) N. H. Sweilam T.M.Al-Ajmi R.H.W.Hoppe, Numerical Studies for Some types of Fractional Optimal Control Problems, Scientific World Journal, Volume 2013, Article ID , 9 pages (16) Nasser SWEILAM, M. M. KHADER, M. ADEL, Weighted Average Finite Difference Methods for Fractional Order Reaction-Subdiffusion Equation, Walailak Journal of Science and Technology (WJST), Vol 11, No 2-3 (2014). (17) N. H. SWEILAM, M. M. RIZK, M. M. ABOU HASAN, Non-Uniform Finite Difference Method for European and American Put Option Using 17

18 Black -Scholes Model, Journal of Fractional Calculus and Applications, Vol. 5(3S) No. 17, pp. 1-11, (6th. Symp. Frac. Calc. Appl. August 4, 2014). (18) N. H. Sweilam, M. M. Khader, A. M. S. Mahdy and N. K. Abdel Moniem, Numerical Simulation for the Fractional SIRC Model and Influenza A, Appl. Math. Inf. Sci. 8, No. 3, 1-8 (2014). (19) N. H. Sweilam, Hatem Moharram, N. K. Abdel Moniem, and S. Ahmed, A Parallel Crank-Nicolson Finite Difference Method for Time-Fractional Parabolic Equation. Journal of Numerical Mathematics, Volume 22, Issue 4 (Dec 2014). (20) N. H. Sweilam, M. M. Khader, and A. M. S. MAHDY, Numerical Study for the Fractional Differential Equations Generated by Optimization Problem Using Chebyshev Collocation Method and FDM, Appl. Math. Inf. Sci. 7, No. 5, (2013). (21) N.H.Sweilam, M.M.Khader, On the approximate solutions for system of fractional order integro-differential equations using Chebyshev pseudospectral method, Applied Mathematical Modelling, 37, , (2013). (22) N.H.Sweilam, M.M.Khader, Approximate solutions for the fractional advection-dispersion equation using Legendre pseudo-spectral method, Comp. Appl. Math. DOI /s x (23) Oleg V. Belova, Ochbadrakh Chuluunbaatar, Mikhail I. Kapralova, Nasser H. Sweilam, The role of the bacterial mismatch repair system in SOS-induced mutagenesis: A theoretical background, Journal of Theoretical Biology 332 (2013) (24) Kholmirzo Kholmurodov, Ermuhammad Dushanov, Kenji Yasuoka, Hagar Hassan,Ahmed Galal, and Nasser Sweilam, Structural and Diffusional Study of Pure Ethanol and Water on Pt (III) Surface Using Molecular Dynamics Simulation, Eur. Chem. Bull. 2013, 2(5),

19 (25) N.H.Sweilam, M.M.Khader, M.Adel, Numerical simulation of fractional Cable equation of spiny neuronal dendrites, Journal of Advanced Research 5, , (2014). (26) N. H.. Sweilam, T. A. Assiri, Numerical Simulations for the Space- Time Variable Order Nonlinear Fractional Wave Equation, Journal of Applied Mathematics, Volume 2013, Article ID , 8 pages (27) N. H.. Sweilam,, M.M.Khader, T. A. Assiri, On the Numerical Solution for the fractional Wave Equation Using Legendre Pseudospectral Method, International Journal of Pure and Applied Mathematics, Volume 84 No , (28) N. H. Sweilam, M. M. Khader, and W. Y. Kota, Numerical and Analytical Study for Fourth-Order Integro-Differential Equations Using a Pseudospectral Method, Mathematical Problems in Engineering Volume 2013, Article ID , 7 pages (29) N. H.. Sweilam, T. A. Assiri, Explicit Finite Difference Method for the Fractional Non-Linear Wave Equation with the Riesz Fractional Derivative, International Journal of Mathematics and Computer Applications Research (IJMCAR), Vol. 3, Issue 1, 2013, (30) O. Belov, O. Chuluunbaatar, M. Kapralov, N. Sweilam, The role of the bacterial mismatch repair system in SOS-induced mutagenesis: a theoretical background. JINR Preprint E p. (31) N. H. Sweilam, M. M. Khader, and A. M. S. MAHDY, NUMERI- CAL STUDIES FOR SOLVING FRACTIONAL-ORDER LOGISTIC EQUA- TION, International Journal of Pure and Applied Mathematics, Volume 78 No , (32) N. H. Sweilam, T. A. Assiri, Error Analysis of an Explicit Finite Difference Approximation for the Space Fractional Wave Equations, SQU Journal for Science, 17(2) (2012)

20 (33) N. H. Sweilam, M. M. Khader, and A. M. S. MAHDY, Numerical Studies for Solving Fractional Riccati Differential Equation, Applications and Applied Mathematics: An International Journal, Vol. 7, Issue 2 (December 2012), pp (34) N. H. Sweilam, M. M. Khader, and A. M. S. MAHDY, On the Numerical Solution for the Linear Fractional Klien- Gordon Equation Using Legendre Pseudo spectral Method, International Journal of Mathematics and Computer Applications Research (IJMCAR), Vol. 2 Issue 4 Dec (35) N. H. Sweilam, M. M. Khader, and M. Adel, AN EFFICIENT CLASS OF FDM BASED ON HERMITE FORMULA FOR SOLVING FRACTIONAL REACTION-SUBDIFFUSION EQUATIONS, International Journal of Mathematics and Computer Applications Research (IJMCAR), Vol. 2 Issue 4 Dec (36) N. H. Sweilam, M. M. Khader, and A. M. S. MAHDY, Numerical Studies for Fractional-Order Logistic Differential Equation with Two Different Delays, Journal of Applied Mathematics, vol. 2012, Article ID , 14 pages, 2012.doi: /2012/ (37) N. H. Sweilam, M. M. Khader, H. M. Almarwm, Numerical Studies for the Variable Order Nonlinear Fractional Wave Equation, FCAA, Vol. 15, No 4 (2012). (38) N.H.Sweilam, H.M. Moharram, Sameh Ahmed, On the Parallel Iterative Finite Difference Algorithm for 2-D Poisson s Equation with MPI Cluster, The 8th International Conference on Informatics and Systems (INFOS2012), IEEE Explore, 2012, (39) N. H. Sweilam, M. M. Khader, and M. Adel, On the Stability Analysis of Weighted Average Finite Difference Methods for Fractional Wave Equation, Fractional Differential Calculus, 2, 1 (2012), (40) N. H. Sweilam, M. M. Khader, and A.M.S. Mahdy, Computational Methods for Fractional Differential Equations Generated by Optimization 20

21 Problem, Journal of Fractional Calculus and Applications, 3(S). July, 11, (41) Kholmirzo Kholmurodov, Ermuhammad Dushanov, Kenji Yasuoka d, Hagar Khalil, Ahmed Galal,Sameh Ahmed, Nasser Sweilam, Hatem Moharram, Molecular dynamics study of ethanol solvated by water on the Pt (1 1 1) surface, Chemical Physics 402 (2012) (42) N. H. Sweilam, M. M. Khader, and W. Y. Kota, On the Numerical Solution of Hammerstein Integral Equations using Legendre Approximation, International Journal of Applied Mathematical Research, 1 (1), 65-76, (43) N. H. Sweilam, M. M. Khader, and A.M.S. Mahdy, Crank Nicolson Finite Difference Method for Solving Time Fractional Diffusion Equation, Journal of Fractional Calculus and Applications, Vol. 2., No. 2, pp. 1-9, Jan. (2012). (44) N. H. Sweilam, M. M. Khader and A. M. Nagy, Numerical solution of two-sided space fractional wave equation using finite difference method, Journal of Computational and Applied Mathematics 235, , (2011). (45) N. H. Sweilam, M. M. Khader, R. F. Al-Bar, Parameter Expansion Method for Viscoelastic Motion with Fractional Order Damping, Nonlinear Sci. Lett.A, Vol.2, No.3, , (2011). (46) N.H. Sweilam and H.M. AL-Mrawm, On the Numerical Solutions of the Variable Order Fractional Heat Equation,Studies in Nonlinear Sciences 2 (1): 31 36, (2011). (47) N. H. Sweilam, M. M. Khader, F. M. Atlan, Numerical Studies for Singularly Perturbed Convection-Reaction-Diffusion Problems in Two Dimensions, Research Journal of Mathematics and Statistics 3(3):97 106, (2011). (48) N. H. Sweilam, M. M. Khader, and T. A. Assiri, Efficient Numerical Treatment for Fractional Partial Differential Equations, Nonlinear Sci. Lett.A, Vol.2, No.4, , (2011). 21

22 (49) N. H. Sweilam, M. M. Khader, and A.M.S. Mahd, An Efficient Numerical Method for Solving the Fractional Diffusion Equation, Journal of Applied Mathematics & Bioinformatics, vol.1, no.2, 1-12, (50) ) N. H. Sweilam, M. M. Khader,Semi Exact Solutions for Bi-Harmonic Equations Using Homotopy Analysis Method, World Applied Sciences Journal 13: 01-07, 2011 (51) N.H. Sweilam, W. Mahmoud and E.K. Rawy, Numerical Study of Some Systems of Linear Algebraic Equations with Noise Relatedto Boundary-value Problems for Laplace s Equation in Rectangular Domains, Studies in Nonlinear Sciences 2 (2): 60-69, (52) N. H. Sweilam, Kholmirzo Kholmurodov, Ermuhammad Dushanov, Kenji Yasuoka, Hagar Khalil, Ahmed Galal, Sameh Ahmed, Hatem Moharram, Molecular dynamics simulation of the interaction of ethanol-water mixture with a Pt surface, Natural Science, Vol.3, No.12, (2011). (53) N. H. Sweilam, A. A. Tharawat, N. K. Abdel Moniem, Support Vector Machine for Diagnosis Canser Disease: A Comparative Study, Egyptian Informatics Journal ( by Elsevier) 11, 81 92, (2010). (54) N. H. Sweilam, M. M. Khader, F. T. Mohamed, Mohamed, On the Numerical Solutions of Two Dimensional Maxwell s Equations, Studies in Nonlinear Sciences Studies in Nonlinear Sciences 1 (3): 82-88, (2010). (55) N. H. Sweilam, M. M. Khader, A Chebyshev Pseudo-Spectral Method for Solving Fractional Order Integro-Differential Equations, Accepted in ANZIAM J. 51, (2010). (56) N. H. Sweilam, M. M. Khader, Approximate solutions to the nonlinear vibrations of multiwalled carbon nanotubes using Adomian decomposition method, Applied Mathematics and Computation 217, , (2010). (57) N. H. Sweilam, H. E. Fathy, On the Numerical Solution for Singularly Perturbed Second-order ODEs Studies in Nonlinear Sciences 1 (3): 89-96, (2010). 22

23 (58) N. H. Sweilam, M. M. Khader, On the Convergence of Variational Iteration Method for Nonlinear Coupled System of Partial Differential Equations, International Journal of Computer Mathematics,Volume 87, Issue 5, , (2010). (59) N. H. Sweilam, M. M. Khader, A note on He s Parameter-Expansion Method of Coupled Van der Pol-Duffing Oscillators, Applications and Applied Mathematics: An International Journal (AAM ), 1., , (2010). (60) N. H. Sweilam, M. M. Khader, On the Existence and Properties of the Positive Definite Solution of the Matrix Equation X = I + A X 1 A, International Electronic Journal of Pure and Applied Mathematics, Volume 2 No. 4, , (2010). (61) N. H. Sweilam, A. M. Nagy and M. H. Alnasr, Efficient Dynamical System Method for Solving Singularly Perturbed Integral Equations with Noise, (Computers and Mathematics with Applications 58 (2009) ). (62) N. H. Sweilam, M. M. Khader, Application of He s Parameter-expansion Method for the Non-linear Differential Equations,(International Journal of Nonlinear Sciences and Numerical Simulation, 10 (2), , 2009). (63) N. H. Sweilam, R.F. Al-Bar, Implementation of the Parameter-expansion Method for the Coupled Van der Pol Oscillators, (International Journal of Nonlinear Sciences and Numerical Simulation, 10 (2), , 2009). (64) N. H. Sweilam, M. M. Khader, Exact Solutions of Some Coupled Nonlinear Partial Differential Equations Using the Homotopy Perturbation Method,( Comput. & Maths. with Applications, 58, , 2009 ). (65) N. H. Sweilam, M. M. Khader, R. F. Al-Bar, Nonlinear Focusing Manakov Systems by Variational Iteration Method and Adomian Decomposition Method, (Journal of Physics: Conference Series 96, 1-7, 2008 ). (66) N. H. Sweilam, M. M. Khader, R. F. Al-Bar, On the Numerical Simulation of Population Dynamics with Density-dependent Migrations and the Allee Effects, (Journal of Physics: Conference Series 96, 1-10, 2008 ). 23

24 (67) N. H. Sweilam, M. M. Khader, R. F. Al-Bar, He s Homotopy Perturbation Method for Multi-Dimensional Nonlinear Coupled System of Parabolic and Hyperbolic Equations, ( Topological Methods in Nonlinear Analysis, Vol. 31, No.2, , 2008.) (68) N. H. Sweilam, M. M. Khader, R. F. Al-Bar, Numerical studies for a multi-order fractional differential equation, (Physics Letters A, 371, 26-33, 2007 ). (69) N. H. Sweilam, M. M. Khader, R. F. Al-Bar, Homotopy Perturbation Method for Linear and Nonlinear System of Fractional Integro-Differential Equations, ( International Journal of Computational Mathematics and Numerical Simulation (IJCMNS), Vol. 1, No. 1, 73-87, June 2008 ). (70) N. H. Sweilam, K. El-Metwally, M. Abd El-Azeem, Self Potential Signals Inversion to Simple polarized Bodies Using the Particle Swarm Optimization Method: A visibility study, (J. Applied Geophysics by the Egyptian Society of Applied Petrophysics (ESAP), 6-th volume March 2007.) (71) N. H. Sweilam, M. Al-Lawatia, Numerical studies for one-dimensional nonlinear coupled system of parabolic and hyperbolic equations, ( International Journal of Computational Mathematics and Numerical Simulation (IJCMNS), Vol. 1, No. 1, 45-57, June 2008). (72) N. H. Sweilam, M. M. Gobashy, T. Hashem, Particle swarm optimization techniques for depth determinations from gravity data, ( Proc. Math. Phy. Soc. Egypt, Vol. 86, No. 2, , 2008 ). (73) N. H. Sweilam, Multi-Dimensional Nonlinear Coupled System of Parabolic and Hyperbolic Equations by Variational Iteration Method and Adomian s method, ( International Journal of Computational Mathematics and Numerical Simulation (IJCMNS), Vol. 1, No. 1, 13-31, June 2008 ). (74) N. H. Sweilam, On the Numerical Solution for Deconvolution Problems with Noise, ( Australian Journal of Mathematical Analysis and Applications, Vol. 4, No. 2, 1-8, 2007). 24

25 (75) N. H. Sweilam, Fourth-Order Integro-Differential Equations Using Variational Iteration Method, ( Computers and Mathematics with Applications 54, , 2007 ). (76) N. H. Sweilam, R. F. Al-Bar, On the Numerical Simulation for A System of Two Coupled Nonlinear Schrödinger Equations, ( Computers and Mathematics with Applications 54, , 2007). (77) N. H. Sweilam, A. M. Nagy, Numerical Studies on Dynamical System Method for Solving Ill-Posed Problems with Noise. ( Australian Journal of Mathematical Analysis and Applications, Vol. 4, No. 1, 1-7, 2007). (78) N. H. Sweilam, M. M. Khader, Application of Homotopy Perturbation Method to A Nonlinear Focusing Manakov System, ( Proc. Math. Phys. Soc. Egypt, 86,2, , (2008)). (79) N. H. Sweilam, Variational Iteration Method for Solving Cubic Nonlinear Schrödinger Equation, (Journal of Computational and Applied Mathematics, 207, , (2007)). (80) N. H. Sweilam, Harmonic Wave Generation in Non-linear Thermoelasticity by Variational Iteration Method and Adomian s Method, Journal of Computational and Applied Mathematics, 207, 64-72, (2007). (81) N. H. Sweilam, R.H.W. Hoppe, Y. Iliash, C. Iyyunni, A Posteriori Error Estimates for Adaptive Finite Element Discretizations of Boundary Control Problems, (Journal of Numerical Mathematics, 14, 1, 57-82, (2006)). (82) N. H. Sweilam, M. M. Khader Variational Iteration Method for Solving Cauchy Problem in in Non -linear Thermoelasticity, (Chaos, Solitions and Fractals, 32, , (2007)). (83) N. H. Sweilam, L. F. Abd-elal, A Computational Approach for Optimal Control Systems Governed by Parabolic Variational Inequalities, ( J. Computational Mathematics, 21, 6, , (2003)). 25

26 (84) N. H. Sweilam, M. Abd El-Azeem, A.I. Bayoumi, A Hybrid Technique for Solving Gravity Inverse Problem, ( Proc. Math. Phys. Soc. Egypt, 78, 39-66, (2003)). (85) N. H. Sweilam, M. I. A. Othman, Electrohydrodynamics Instability in a Horizontal Viscoelastic Fluid Layer in the Presence of Internal Heat Generation, ( Canadian J. Of Physics, 80, 6, , (2002)). (86) N. H. Sweilam, Conjugate Gradient Techniques for the Optimal Control Evolution Dam Problem, ( J. Difference Equations and applications, 6, , (2000)). (87) N. H. Sweilam, On the Optimal Control of Evolution System of Earth Dams, ( Proc. Math. Phys. Soc. Egypt. 75, , (2000)). (88) N. H. Sweilam, On the Optimal Control of Time Dependent System of Earth Dams, ( Pure Mathematics and Applications, 9, No. 3-4, , (1998)). (89) N. H. Sweilam, Numerical Solutions of the Optimal Control Time Dependent System of Earth Dam, ( Proc. Math. Phys. Soc. Egypt, 73, 13-31, (1998)). (90) N. H. Sweilam, Optimal Control of Parabolic Variational Inequalities, the Evolution Dam, ( J. Numerical Functional Analysis and Optimization, Vol. 18(7&8) (1997)). (91) N. H. Sweilam, Numerical Simulation of the Optimal Control Evolution Dam Problem, ( CALCOLO, 34, 1-4, (1997)). (92) N. H. Sweilam, Gradient-Type Algorithm for the Numerical Solution of the Optimal Control Time Dependent Dam Problem J. Faculty of Eduction, Ain Shams Univ. Egypt. Special Issue for the first National Conference of Mathematical and Physical Science and Applications, (1995). 26