THE ROSENAU-HYMAN K(2,2) EQUATION
|
|
|
- Michael Glenn
- 5 years ago
- Views:
Transcription
1 THE ROSEA-HYMA K EATIO. ITRODCTIO Mos of wly non-lnr nd lnr dsprsv quons sudd so fr d solry wvs clld solons r nfn n n []. Wll nown prl dffrnl quons PDEs w solon soluon nclud sn-gordon SG quon cuc non-lnr Scordngr LS quon nd Korwg-d Vrs KdV quon. Rosnu nd Hy [8] rpord clss of PDEs n n.. wc s gnrlzon of KdV quon. Ts quons w vlus of nd n r dnod y K n. I s n sown nrcon of non-lnr dsprson w non-lnr convcon gnrs cly copc srucurs clld copcons fr of ponnl ls. T copcon soluons so gnrd v d pplcons n sudy of prn forons s osrvd sonry nd dyncl prns n nur r usully fn n n. T copcon spd dpnds on s g u unl solon s wd s ndpndn of s spd. Bsd copcon srucur nd unusul spd-wd rlon copcons v rrl solon l propry y colld lsclly. T PDEs.. s n gnrl wo consrvd quns gvn y P u d ; u n d... Vrous fors of B-spln ss ogr w fn ln ods v n nsvly usd n solvng so prl dffrnl quons. For nsnc qunc B-spln collocon fn ln od for nurcl soluon of KdV Burgrs nd KdVB quons [] s n succssfully plnd. Idrs Dg nd
2 s co-uors [ 7] v lso solvd Burgr s nd RLW quons usng qunc B-spln ss w fn ln ods. T rsuls of clculons sowd ccurcy of soluon s provd f Glrn forulon ogr w qunc B-spln funcons s usd n gng nurcl soluon of prl dffrnl quons u copuonl cos of B-spln Glrn lgor ncrss. T Rosnu Hyn K n quon v n solvd nurclly y vrous ods. Fruos l. [8] usd fn dffrnc od o solvd K quon. Isl nd T [] v sudd K nurclly y vrous fn dffrnc nd fn ln cnqus. Ty lso provd condonl nd uncondonl sly of proposd scs. A fn dffrnc od s n consrucd y Isl [] for soluon of K quon. Isl nd Al-Soly [] v usd fn ln od w usd of lnr funcon nd cuc B- spln funcon s rl nd s funcons for nurcl soluon of K quon. Solry-wv soluon of K n vng copc suppor s n sudd y Wzwz [9] usng Adon dcoposon od. In s ppr w wll dscr nurcl soluon of on of prl dffrnl quons.. vz. K y Glrn s od usng qunc B- spln funcons. T consrvd quns r clculd usng Spson s rul. Fnlly coprson wn nlycl nd nurcl soluon of K quon for purposd lgor s d.. ITIC B-SPLIE GALERKI METHOD T Rosnu-Hyn K quon s for..
3 wr suscrs nd dno dffrnon. Boundry condons r slcd fro oognous oundry condons ] [ T.. nd nl condon ]. [ f Applyng Glrn cnqu o Eq... w wg funcon W ylds ngrl quon d W... W consdr s s unfor pron of soluon don y nos nd... rougou ppr. L... orws ] [ ] [ ] [ ] [ ] [ ] [..
4 qunc B-splns w nos.... T s of qunc B-splns fors ss ovr rgon. T glol pproon dfnd usng qunc B-splns.. wll soug o nlycl soluon. In s ppro soluon s dpndn prr o drnd fro qunc Glrn for of Eq.... T nodl vlus of nd s drvvs up o four ordr r gvn n rs of prr fro us of splns.. nd rl soluon..... A locl coordn sys cn dfnd usng ppng rlon o rnsfor fn ln ] [ no nrvl ]. [ T prssons of qunc B-spln sp funcons r ndpndn of ln poson r ond w rlon of glol nd locl coordns rlon ovr ] [ s
5 ...7 Fro qunc B-splns covrng s succssv fn lns ypcl fn lns r covrd y s qunc B-spln sp funcons. So pproon rducd ovr ln ] [ s..8 wr... c s ln prrs. Tng wg funcons W w qunc B-spln sp funcons nd susung ln rl funcon n ngrl quon.. ovr ln ] [ lds o d d d..9 wr nd only vlus nd... nd dnos drvv w rspc o wc n r for s T T M L A..
6 wr ln rcs L M r r A s nd T rcs nd E so rcs A d L d M d.. L nd B M r orgnzd o n dnson s rcs L B nd B E M.. E r prssd s dpndng on ln prr. Conng ll ln rcs for c ln w on sys of nonlnr ordnry dffrnl quon wr glol prr s A B E If w usd Crn-colson dscrzon forul for vcor of ln prr nd usul fn dffrnc quon for drvvs prr n quon: n n ; n n.. w rc nonlnr rcurrnc rlon for prrs : n A ΔB ΔE A ΔB ΔE n... Ts sys s d up of quon n unnown prrs. W cn on solvl sys y posng oundry condons lf nd of rgon nd rg nd of rgon n n n n o ln prrs. T ov sd non-lnr sys s
7 7 solvd y won s od. Iron sould rpd wo or r s usng followng corrcor procdur * n n n n...7 To sr ron of rcurrnc rlon of sys.. nl prr vcor us drnd usng followng nl nd oundry condons nos Condons w r corrspondng qunc B-spln rprsnon gv r quon of sys Ts Mr sys s solvd o g nl condon prrs. On drnng nl prrs fro sys ov clculon of soluons r rd usng sys.. succssv s. By usng ond prrs fro sys.. nodl vlus nd s drvvs of ordr cn word ou fro Eqs....
8 . MERICAL APPLICATIOS In s scon w prsn so nurcl prns o fnd nurcl soluon of sngl copcon wvs nd drnng soluon of wo nd r copcons nrcons. W lso sow copcons splng fro n nl d... MOTIO OF A SIGLE COMPACTO T K quon posssss followng consrvd quns: I d nd I d.. Snc consrvd quns r pcd o rn consn durng run of lgor o v ffcn nurcl sc. Spson s rul wll usd o clcul ngrls.. dscr pons nurclly. To sur ccurcy of nurcl soluons dffrnc wn nlycl nd nurcl soluons so spcfd s s copud y usng dscr roo n squr rror nor L nd u rror nor L.... W dop sngl copcon wv soluon of K quon w nl condon cos u orws.. T c soluon of K quon.. s gvn y cos u orws.. wc dscrs copcly suppord solry wv clld copcons rvlng 8
9 w vlocy nd plud n posv -drcon. T prrs.. nd r usd. T run of lgor s crrd up o ovr prol don. T u roo n squr rrors nd consrvd quns r prsnd n l. Sngl copcon wv soluon s drwn n Fg c d Fg..: Sngl copcon profls. Soluon of K quon w nl condon. n. Soluon ; Soluon ; c Soluon ; d Spc grp of soluon up o. Tl.: Invrns nd rror nors for sngl copcon wv 9
10 I I L L ITERACTIO OF TWO COMPACTOS In s pl w sudy nrcon of wo copcons of K quon.. vng dffrn plud nd rvlng n s drcon. W consdr K quon w nl condon gvn y u u.. wr cos u orws nd. Hr w coos followng prrs T nrcon scnro s dsplyd n Fg.. nd sows ow wo wll sprd copcons nrc nd rg fr nrcon s uncngd n spd nd vlocy. 7
11 c d Fg..: Doul copcon profls. Soluon of K quon w nl condon. n. Soluon Soluon c Soluon d Spc grp of soluon up o. 7
12 c d Fg..: Trpl copcon profls. Soluon of K quon w nl condon. n 8. Soluon ; Soluon ; c Soluon ; d Spc grp of soluon up o... ITERACTIO OF THREE COMPACTOS T rpl copcon nrcon of K quon.. s nl condon gvn y 7
13 u u 8.. wr cos u orws nd c d Fg..: Trpl copcon splng profls. Soluon of K quon w nl condon. n. Soluon Soluon c Soluon d Spc grp of soluon up o. Hr w coos followng prrs nd. T nrcon of r copcons s sown n Fg... 7
14 .. SPLITTIG COMPACTOS T rpl copcon splng cs of K quon s followng nl condon gvn y[] u cos 8 orws.. T copcon splng fro or gnrl nl d r sown n Fg... Hr w coos followng prrs. nd. 8.. COCLSIO W v succssfully ppld Glrn s fn ln od usng qunc B-spln funcon for solvng gly non-lnr dsprsv prl dffrnl quon K. urcl pls r sown o llusr ccurcy of od. W lso sowd nrcon of wo nd r copcons nd splng of copcon. urcl ccurcy of od cn ncrsd y rducng spl nd porl sp szs nd rspcvly. T proposd od s or drwc of copuonl coply. I s or copuonl n or ods cd n s cpr. Bu n rs of ccurcy s od s ccpl. 7
The Mathematics of Harmonic Oscillators
Th Mhcs of Hronc Oscllors Spl Hronc Moon In h cs of on-nsonl spl hronc oon (SHM nvolvng sprng wh sprng consn n wh no frcon, you rv h quon of oon usng Nwon's scon lw: con wh gvs: 0 Ths s sos wrn usng h
Wave Phenomena Physics 15c
Wv hnon hyscs 5c cur 4 Coupl Oscllors! H& con 4. Wh W D s T " u forc oscllon " olv h quon of oon wh frcon n foun h sy-s soluon " Oscllon bcos lr nr h rsonnc frquncy " hs chns fro 0 π/ π s h frquncy ncrss
CIVL 7/ D Boundary Value Problems - Quadrilateral Elements (Q8) 1/9
CIVL / -D Boundry Vlu Problm - Qudrlrl Elmn (Q) /9 EIGH-ODE QUADRILAERRAL ELEMES (Q) h nx n our lmn dvlopmn logcl xnon of h qudrlrl lmn o qudrclly nrpold qudrlrl lmn dfnd by gh nod, four h vrc nd four
Major: All Engineering Majors. Authors: Autar Kaw, Luke Snyder
Nolr Rgrsso Mjor: All Egrg Mjors Auhors: Aur Kw, Luk Sydr hp://urclhodsgusfdu Trsforg Nurcl Mhods Educo for STEM Udrgrdus 3/9/5 hp://urclhodsgusfdu Nolr Rgrsso hp://urclhodsgusfdu Nolr Rgrsso So populr
Consider a system of 2 simultaneous first order linear equations
Soluon of sysms of frs ordr lnar quaons onsdr a sysm of smulanous frs ordr lnar quaons a b c d I has h alrna mar-vcor rprsnaon a b c d Or, n shorhand A, f A s alrady known from con W know ha h abov sysm
Summary: Solving a Homogeneous System of Two Linear First Order Equations in Two Unknowns
Summary: Solvng a Homognous Sysm of Two Lnar Frs Ordr Equaons n Two Unknowns Gvn: A Frs fnd h wo gnvalus, r, and hr rspcv corrspondng gnvcors, k, of h coffcn mar A Dpndng on h gnvalus and gnvcors, h gnral
Oscillations of Hyperbolic Systems with Functional Arguments *
Avll ://vmd/gs/9/s Vol Iss Dcmr 6 95 Prvosly Vol No Alcons nd Ald mcs AA: An Inrnonl Jornl Asrc Oscllons of Hyrolc Sysms w Fnconl Argmns * Y So Fcly of Engnrng nzw Unvrsy Isw 9-9 Jn E-ml: so@nzw-c Noro
A Hybrid Method to Improve Forecasting Accuracy Utilizing Genetic Algorithm and Its Application to Stock Market Price Data
A Hyrd Mhod o Improv Forcsng Accurcy Ulzng Gnc Algorhm nd Is Applcon o Sock Mrk Prc D Ysuo Ish * Kzuhro Tkysu Dprmn of Mngmn Dsgn, Fculy of Busnss dmnsron Osk Inrnonl Unvrsy -5-, Sug, Hrk, Osk 57-9, Jpn
Quantum Harmonic Oscillator
Quu roc Oscllor Quu roc Oscllor 6 Quu Mccs Prof. Y. F. C Quu roc Oscllor Quu roc Oscllor D S..O.:lr rsorg forc F k, k s forc cos & prbolc pol. V k A prcl oscllg roc pol roc pol s u po of sbly sys 6 Quu
Laser spectroscopy. - Basic concepts and instrumentation - Wolfgang Demtröder. Nonlinear Optics Lab. Hanyang Univ. 2 nd enlarged edition
Lsr spcroscopy - Bsc concps nd nsrumnon - nd nlrgd don Wolfgng Dmrödr Nonlnr Opcs L. Hnyng Unv. . Inroducon Spcroscopy 분광학 : To nlyz h chrcrscs of EM rdon lgh nrcng wh mrs AsorponEmsson spcr Spcroscopc
Let's revisit conditional probability, where the event M is expressed in terms of the random variable. P Ax x x = =
L's rvs codol rol whr h v M s rssd rs o h rdo vrl. L { M } rrr v such h { M } Assu. { } { A M} { A { } } M < { } { } A u { } { } { A} { A} ( A) ( A) { A} A A { A } hs llows us o cosdr h cs wh M { } [ (
SAMPLE CSc 340 EXAM QUESTIONS WITH SOLUTIONS: part 2
AMPLE C EXAM UETION WITH OLUTION: prt. It n sown tt l / wr.7888l. I Φ nots orul or pprotng t vlu o tn t n sown tt t trunton rror o ts pproton s o t or or so onstnts ; tt s Not tt / L Φ L.. Φ.. /. /.. Φ..787.
FL/VAL ~RA1::1. Professor INTERVI of. Professor It Fr recru. sor Social,, first of all, was. Sys SDC? Yes, as a. was a. assumee.
B Pror NTERV FL/VAL ~RA1::1 1 21,, 1989 i n or Socil,, fir ll, Pror Fr rcru Sy Ar you lir SDC? Y, om um SM: corr n 'd m vry ummr yr. Now, y n y, f pr my ry for ummr my 1 yr Un So vr ummr cour d rr o l
General travelling wave solutions of quintic nonlinearity of Klein-Gordon equation
Asrln Jornl of Bsc nd Ald Scncs 5: 97-5 ISSN 99-878 nrl rvllng wv solons of qnc nonlnry of Kln-ordon qon Rz Azr Yong Rsrchrs l Ardl Brnch Islc Azd nvrsy P.O.Bo 5669-58 Ardl Irn Asrc: In hs lr h / -nson
INTEGRAL TRANSFORM METHODS FOR SOLVING FRACTIONAL PDES AND EVALUATION OF CERTAIN INTEGRALS AND SERIES
ITEGRAL TRASFORM METHODS FOR SOLVIG FRACTIOAL PDES AD EVALUATIO OF CERTAI ITEGRALS AD SERIES *A. Aghl nd H. Znl *Drmn of Ald Mhmcs, Unvrsy of Guln Rsh-Irn *Auhor for Corrsondnc ABSTRACT In hs work, h uhors
CE427 - CHEMICAL ENGINEERING LABORATORY III FALL 2005 MATHEMATICAL MODELLING OF TANK DRAINING
CE47 - CEMICA ENGINEERING ABORATORY III FA 005 MATEMATICA MODEING OF TANK DRAINING Ojvs: Dvlop r mml modls o vryng omplxy o prd m rqurd o drn vrl ylndrl nk nd ompr modls w xprmnl d. Sysm: Two nks lod n
( ) ( ) ( ) 0. Conservation of Energy & Poynting Theorem. From Maxwell s equations we have. M t. From above it can be shown (HW)
8 Conson o n & Ponn To Fo wll s quons w D B σ σ Fo bo n b sown (W) o s W w bo on o s l us n su su ul ow ns [W/ ] [W] su P su B W W 4 444 s W A A s V A A : W W R o n o so n n: [/s W] W W 4 44 9 W : W F
INF5820 MT 26 OCT 2012
INF582 MT 26 OCT 22 H22 Jn Tor Lønnng l@.uo.no Tody Ssl hn rnslon: Th nosy hnnl odl Word-bsd IBM odl Trnng SMT xpl En o lgd n r d bygg..9 h.6 d.3.9 rgh.9 wh.4 buldng.45 oo.3 rd.25 srgh.7 by.3 onsruon.33
Advanced Queueing Theory. M/G/1 Queueing Systems
Advand Quung Thory Ths slds ar rad by Dr. Yh Huang of Gorg Mason Unvrsy. Sudns rgsrd n Dr. Huang's ourss a GMU an ma a sngl mahn-radabl opy and prn a sngl opy of ah sld for hr own rfrn, so long as ah sld
Computation of the Filtering Properties of Photonic Crystal Waveguide Discontinuities Using the Mode Matching Method
World Acdy of Scnc, Engnrng nd chnology Inrnonl Journl of Elcroncs nd Councon Engnrng Copuon of h Flrng Proprs of Phoonc Crysl Wvgud Dsconnus Usng h Mod Mchng Mhod Ahnsos hohrds, hos Klks, Ionns Nokosds,
Statistical Analysis of Environmental Data - Academic Year Prof. Fernando Sansò
Scl nly of nvronmnl D - cdmc r 8-9 Prof. Frnndo Snò XRISS - PR 5 bl of onn Inroducon... xrc (D mprcl covrnc m)...7 xrc (D mprcl covrnc m)... xrc 3 (D mprcl covrnc m)... xrc 4 (D mprcl covrnc m)...3 xrc
Effect of Gravity on Waterflooding Performance of Stratified Reservoirs Noaman A.F. El-Khatib, SPE, King Saud University
PE 8465 Effc of Grvy on Wrfloodng Prformnc of rfd Rsrvors Nomn A.F. El-Kh, PE, Kng ud Unvrsy opyrgh 00, ocy of Prolum Engnrs Inc. Ths ppr s prprd for prsnon h PE h Mddl s Ol ho & onfrnc o hld n Bhrn 5-8
INDUCTANCE OF A PLUNGER-TYPE ELECTROMAGNET
NDUCTANCE OF A PUNGER-TYPE EECTROMAGNET Grgor A. CVDJAN, Aln DOAN, Vor CMOV, Al hsn CANAKOGU * Unvrsy of Crov, Ron, * Dlpnr Unvrsy, Khy, Try ps 5, RO- Crov, Tl: +45/4574, E-l : gvdjn@lh.v.ro Asr n h ppr,
A general N-dimensional vector consists of N values. They can be arranged as a column or a row and can be real or complex.
Lnr lgr Vctors gnrl -dmnsonl ctor conssts of lus h cn rrngd s column or row nd cn rl or compl Rcll -dmnsonl ctor cn rprsnt poston, loct, or cclrton Lt & k,, unt ctors long,, & rspctl nd lt k h th componnts
Lecture 21 : Graphene Bandstructure
Fundmnls of Nnolcronics Prof. Suprio D C 45 Purdu Univrsi Lcur : Grpn Bndsrucur Rf. Cpr 6. Nwor for Compuionl Nnocnolog Rviw of Rciprocl Lic :5 In ls clss w lrnd ow o consruc rciprocl lic. For D w v: Rl-Spc:
II The Z Transform. Topics to be covered. 1. Introduction. 2. The Z transform. 3. Z transforms of elementary functions
II The Z Trnsfor Tocs o e covered. Inroducon. The Z rnsfor 3. Z rnsfors of eleenry funcons 4. Proeres nd Theory of rnsfor 5. The nverse rnsfor 6. Z rnsfor for solvng dfference equons II. Inroducon The
5/1/2018. Huffman Coding Trees. Huffman Coding Trees. Huffman Coding Trees. Huffman Coding Trees. Huffman Coding Trees. Huffman Coding Trees
/1/018 W usully no strns y ssnn -lnt os to ll rtrs n t lpt (or mpl, 8-t on n ASCII). Howvr, rnt rtrs our wt rnt rquns, w n sv mmory n ru trnsmttl tm y usn vrl-lnt non. T s to ssn sortr os to rtrs tt our
Convergence of Quintic Spline Interpolation
Inrnaonal Journal o ompur Applcaons 97 8887 Volum 7 No., Aprl onvrgnc o Qunc Spln Inrpolaon Y.P. Dub Dparmn O Mamacs, L.N..T. Jabalpur 8 Anl Sukla Dparmn O Mamacs Gan Ganga ollg O Tcnog, Jabalpur 8 ASTRAT
Frequency Response. Response of an LTI System to Eigenfunction
Frquncy Rsons Las m w Rvsd formal dfnons of lnary and m-nvaranc Found an gnfuncon for lnar m-nvaran sysms Found h frquncy rsons of a lnar sysm o gnfuncon nu Found h frquncy rsons for cascad, fdbac, dffrnc
The Variance-Covariance Matrix
Th Varanc-Covaranc Marx Our bggs a so-ar has bn ng a lnar uncon o a s o daa by mnmzng h las squars drncs rom h o h daa wh mnsarch. Whn analyzng non-lnar daa you hav o us a program l Malab as many yps o
Prediction of Aviation Equipment Readiness Rate Based on Exponential Smoothing Method. Yan-ming YANG, Yue TENG and Chao-ran GUO
7 nd Inrnonl Confrnc on Informon chnology nd Mngmn Engnrng (IME 7) ISBN: 978--6595-45-8 Prdcon of Avon Equpmn Rdnss R Bsd on Exponnl Smoohng Mhod Yn-mng YANG, Yu ENG nd Cho-rn GUO Nvl Aronucl nd Asronucl
Bethe-Salpeter Equation Green s Function and the Bethe-Salpeter Equation for Effective Interaction in the Ladder Approximation
Bh-Salp Equaon n s Funcon and h Bh-Salp Equaon fo Effcv Inacon n h Ladd Appoxmaon Csa A. Z. Vasconcllos Insuo d Físca-UFRS - upo: Físca d Hadons Sngl-Pacl Popagao. Dagam xpanson of popagao. W consd as
Generalized Half Linear Canonical Transform And Its Properties
Gnrlz Hl Lnr Cnoncl Trnorm An I Propr A S Guh # A V Joh* # Gov Vrh Inu o Scnc n Humn, Amrv M S * Shnkrll Khnlwl Collg, Akol - 444 M S Arc: A gnrlzon o h Frconl Fourr rnorm FRFT, h lnr cnoncl rnorm LCT
Functions and Graphs 1. (a) (b) (c) (f) (e) (d) 2. (a) (b) (c) (d)
Functions nd Grps. () () (c) - - - O - - - O - - - O - - - - (d) () (f) - - O - 7 6 - - O - -7-6 - - - - - O. () () (c) (d) - - - O - O - O - - O - -. () G() f() + f( ), G(-) f( ) + f(), G() G( ) nd G()
Life Science Journal 2014;11(5s) Evolution of a Helix Curve by observing its velocity
Lf Scnc Journl 4;(5 hp://www.lfcnc.com Evoluon of Hlx Curv by obrvn vlocy Nr H. Abdl-All, H. S. Abdl-Azz, M. A. Abdl-Rzk, A. A. Khll 4, Dprmn of Mhmc, Fculy of Scnc, Au Unvry, Au, Eyp.,4 Dprmn of Mhmc,
Approximate Integration. Left and Right Endpoint Rules. Midpoint Rule = 2. Riemann sum (approximation to the integral) Left endpoint approximation
M lculus II Tcqus o Igros: Approm Igro -- pr 8.7 Approm Igro M lculus II Tcqus o Igros: Approm Igro -- pr 8.7 7 L d Rg Edpo Ruls Rm sum ppromo o grl L dpo ppromo Rg dpo ppromo clculus ppls d * L d R d
Appendix. In the absence of default risk, the benefit of the tax shield due to debt financing by the firm is 1 C E C
nx. Dvon o h n wh In h sn o ul sk h n o h x shl u o nnng y h m s s h ol ouon s h num o ssus s h oo nom x s h sonl nom x n s h v x on quy whh s wgh vg o vn n l gns x s. In hs s h o sonl nom xs on h x shl
Single Correct Type. cos z + k, then the value of k equals. dx = 2 dz. (a) 1 (b) 0 (c)1 (d) 2 (code-v2t3paq10) l (c) ( l ) x.
IIT JEE/AIEEE MATHS y SUHAAG SIR Bhopl, Ph. (755)3 www.kolsss.om Qusion. & Soluion. In. Cl. Pg: of 6 TOPIC = INTEGRAL CALCULUS Singl Corr Typ 3 3 3 Qu.. L f () = sin + sin + + sin + hn h primiiv of f()
Boosting and Ensemble Methods
Boosng and Ensmbl Mhods PAC Larnng modl Som dsrbuon D ovr doman X Eampls: c* s h arg funcon Goal: Wh hgh probably -d fnd h n H such ha rrorh,c* < d and ar arbrarly small. Inro o ML 2 Wak Larnng
9. Simple Rules for Monetary Policy
9. Smpl Ruls for Monar Polc John B. Talor, Ma 0, 03 Woodford, AR 00 ovrvw papr Purpos s o consdr o wha xn hs prscrpon rsmbls h sor of polc ha conomc hor would rcommnd Bu frs, l s rvw how hs sor of polc
On the Existence and uniqueness for solution of system Fractional Differential Equations
OSR Jourl o Mhms OSR-JM SSN: 78-578. Volum 4 ssu 3 Nov. - D. PP -5 www.osrjourls.org O h Es d uquss or soluo o ssm rol Drl Equos Mh Ad Al-Wh Dprm o Appld S Uvrs o holog Bghdd- rq Asr: hs ppr w d horm o
CHAPTER 7. X and 2 = X
CHATR 7 Sco 7-7-. d r usd smors o. Th vrcs r d ; comr h S vrc hs cs / / S S Θ Θ Sc oh smors r usd mo o h vrcs would coclud h s h r smor wh h smllr vrc. 7-. [ ] Θ 7 7 7 7 7 7 [ ] Θ ] [ 7 6 Boh d r usd sms
innovations shocks white noise
Innovaons Tm-srs modls ar consrucd as lnar funcons of fundamnal forcasng rrors, also calld nnovaons or shocks Ths basc buldng blocks sasf var σ Srall uncorrlad Ths rrors ar calld wh nos In gnral, f ou
t=0 t>0: + vr - i dvc Continuation
hapr Ga Dlay and rcus onnuaon s rcu Equaon >: S S Ths dffrnal quaon, oghr wh h nal condon, fully spcfs bhaor of crcu afr swch closs Our n challng: larn how o sol such quaons TUE/EE 57 nwrk analys 4/5 NdM
Having a glimpse of some of the possibilities for solutions of linear systems, we move to methods of finding these solutions. The basic idea we shall
Hvn lps o so o t posslts or solutons o lnr systs, w ov to tos o nn ts solutons. T s w sll us s to try to sply t syst y lntn so o t vrls n so ts qutons. Tus, w rr to t to s lnton. T prry oprton nvolv s
3.4 Repeated Roots; Reduction of Order
3.4 Rpd Roos; Rducion of Ordr Rcll our nd ordr linr homognous ODE b c 0 whr, b nd c r consns. Assuming n xponnil soluion lds o chrcrisic quion: r r br c 0 Qudric formul or fcoring ilds wo soluions, r &
CIVL 8/ D Boundary Value Problems - Rectangular Elements 1/7
CIVL / -D Boundr Vlu Prolms - Rctngulr Elmnts / RECANGULAR ELEMENS - In som pplictions, it m mor dsirl to us n lmntl rprsnttion of th domin tht hs four sids, ithr rctngulr or qudriltrl in shp. Considr
State Observer Design
Sa Obsrvr Dsgn A. Khak Sdgh Conrol Sysms Group Faculy of Elcrcal and Compur Engnrng K. N. Toos Unvrsy of Tchnology Fbruary 2009 1 Problm Formulaon A ky assumpon n gnvalu assgnmn and sablzng sysms usng
EE Control Systems LECTURE 11
Up: Moy, Ocor 5, 7 EE 434 - Corol Sy LECTUE Copyrigh FL Lwi 999 All righ rrv POLE PLACEMET A STEA-STATE EO Uig fc, o c ov h clo-loop pol o h h y prforc iprov O c lo lc uil copor o oi goo y- rcig y uyig
Introduction to Inertial Dynamics
nouon o nl Dn Rz S Jon Hokn Unv Lu no on uon of oon of ul-jon oo o onl W n? A on of o fo ng on ul n oon of. ou n El: A ll of l off goun. fo ng on ll fo of gv: f-g g9.8 /. f o ll, n : f g / f g 9.8.9 El:
SAMPLE LITANY OF THE SAINTS E/G. Dadd9/F. Aadd9. cy. Christ, have. Lord, have mer cy. Christ, have A/E. Dadd9. Aadd9/C Bm E. 1. Ma ry and. mer cy.
LTNY OF TH SNTS Cntrs Gnt flwng ( = c. 100) /G Ddd9/F ll Kybrd / hv Ddd9 hv hv Txt 1973, CL. ll rghts rsrvd. Usd wth prmssn. Musc: D. Bckr, b. 1953, 1987, D. Bckr. Publshd by OCP. ll rghts rsrvd. SMPL
CS 541 Algorithms and Programs. Exam 2 Solutions. Jonathan Turner 11/8/01
CS 1 Algorim nd Progrm Exm Soluion Jonn Turnr 11/8/01 B n nd oni, u ompl. 1. (10 poin). Conidr vrion of or p prolm wi mulipliiv o. In i form of prolm, lng of p i produ of dg lng, rr n um. Explin ow or
Exponential Stability Analysis of a System Comprised of a Robot and its Associated Safety Mechanism
rongs of nnul onfrn of hn nsu of ommunons Eponnl Sbl nlss of Ssm omprs of obo n s sso Sf Mhnsm Whu GUO ng YNG prmn of Mhms n nforms sn Zhngzhou Unvrs of lgh nusr Zhngzhou hn; E-ml: whguosr@hooomn; ngp66@hoon
Theoretical Seismology
Thorcal Ssmology Lcur 9 Sgnal Procssng Fourr analyss Fourr sudd a h Écol Normal n Pars, augh by Lagrang, who Fourr dscrbd as h frs among Europan mn of scnc, Laplac, who Fourr rad lss hghly, and by Mong.
SYMMETRICAL COMPONENTS
SYMMETRCA COMPONENTS Syl oponn llow ph un of volg n un o pl y h p ln yl oponn Con h ph ln oponn wh Engy Convon o 4 o o wh o, 4 o, 6 o Engy Convon SYMMETRCA COMPONENTS Dfn h opo wh o Th o of pho : pov ph
A Method for Obtaining the Electric Arc Model Parameters for SF 6 Power Circuit Breakers
rocdngs of h 9h WSEAS/IASME Inrnonl Confrnc on ELECTRIC OWER SYSTEMS HIGH VOLTAGES ELECTRIC MACHINES A Mhod for Obnng h Elcrc Arc Modl rrs for SF 6 owr Crc Brkrs S MAXIMOV V VENEGAS JL GUARDADO E MELGOZA
Boyce/DiPrima 9 th ed, Ch 7.6: Complex Eigenvalues
BocDPm 9 h d Ch 7.6: Compl Egvlus Elm Dffl Equos d Boud Vlu Poblms 9 h do b Wllm E. Boc d Rchd C. DPm 9 b Joh Wl & Sos Ic. W cosd g homogous ssm of fs od l quos wh cos l coffcs d hus h ssm c b w s ' A
A parameter robust numerical method for a singularly perturbed Volterra equation in security technologies
Procdng of 5 WSEAS In. onfrnc on Informon Scry nd Prvcy Vnc Ily ovmbr - 6 7 A prmr rob nmrcl mod for nglrly prrbd Volrr qon n cry cnolog E ZHOGDI In of Mmc Zng Wnl Unvry ngbo 5 P. R. n XI IFEG ompr Scnc
A L A BA M A L A W R E V IE W
A L A BA M A L A W R E V IE W Volume 52 Fall 2000 Number 1 B E F O R E D I S A B I L I T Y C I V I L R I G HT S : C I V I L W A R P E N S I O N S A N D TH E P O L I T I C S O F D I S A B I L I T Y I N
SAN JOSE CITY COLLEGE PHYSICAL EDUCATION BUILDING AND RENOVATED LAB BUILDING SYMBOL LIST & GENERAL NOTES - MECHANICAL
S SRUUR OR OORO SU sketch SYO SRPO OO OU O SUPPOR YP SUPPOR O UR SOS OVR SOS (xwx) X W (S) RR RWS U- R R OR ROO OR P S SPR SO S OS OW "Wx00"x0" 000.0, 8/7.0 Z U- R R UPPR ROO S S S SPR SO S OS OW 0"Wx0"x90"
CIVL 8/ D Boundary Value Problems - Triangular Elements (T6) 1/8
CIVL 8/7 -D Boundar Valu Problm - rangular Elmn () /8 SI-ODE RIAGULAR ELEMES () A quadracall nrpolad rangular lmn dfnd b nod, hr a h vrc and hr a h mddl a ach d. h mddl nod, dpndng on locaon, ma dfn a
1- I. M. ALGHROUZ: A New Approach To Fractional Derivatives, J. AOU, V. 10, (2007), pp
Jourl o Al-Qus Op Uvrsy or Rsrch Sus - No.4 - Ocobr 8 Rrcs: - I. M. ALGHROUZ: A Nw Approch To Frcol Drvvs, J. AOU, V., 7, pp. 4-47 - K.S. Mllr: Drvvs o or orr: Mh M., V 68, 995 pp. 83-9. 3- I. PODLUBNY:
Data Structures Lecture 3
Rviw: Rdix sor vo Rdix::SorMgr(isr& i, osr& o) 1. Dclr lis L 2. Rd h ifirs i sr i io lis L. Us br fucio TilIsr o pu h ifirs i h lis. 3. Dclr igr p. Vribl p is h chrcr posiio h is usd o slc h buck whr ifir
ORDINANCE NO. 13,888
ORDINANCE NO. 13,888 AN ORDINANCE d Mc Cd Cy Ds Ms, Iw, 2000, dd by Odc N. 13,827, ssd J 5, 2000, by g Sc 134-276 d cg w Sc 134-276, d by ddg d cg w Dvs 21A, cssg Scs 134-991 g 134-997, c w "C-3R" C Bsss
Transient Analysis of Two-dimensional State M/G/1 Queueing Model with Multiple Vacations and Bernoulli Schedule
Inrnaonal Journal of Compur Applcaons (975 8887) Volum 4 No.3, Fbruary 22 Transn Analyss of Two-dmnsonal Sa M/G/ Quung Modl wh Mulpl Vacaons and Brnoull Schdul Indra Assoca rofssor Dparmn of Sascs and
Supplementary Figure 1. Experiment and simulation with finite qudit. anharmonicity. (a), Experimental data taken after a 60 ns three-tone pulse.
Supplmnar Fgur. Eprmn and smulaon wh fn qud anharmonc. a, Eprmnal daa akn afr a 6 ns hr-on puls. b, Smulaon usng h amlonan. Supplmnar Fgur. Phagoran dnamcs n h m doman. a, Eprmnal daa. Th hr-on puls s
Fourier Series and Parseval s Relation Çağatay Candan Dec. 22, 2013
Fourir Sris nd Prsvl s Rlion Çğy Cndn Dc., 3 W sudy h m problm EE 3 M, Fll3- in som dil o illusr som conncions bwn Fourir sris, Prsvl s rlion nd RMS vlus. Q. ps h signl sin is h inpu o hlf-wv rcifir circui
A Solution for multi-evaluator AHP
ISAHP Honoll Hw Jly 8- A Solton for lt-vltor AHP Ms Shnohr Kch Osw Yo Hd Nhon Unvrsty Nhon Unvrsty Nhon Unvrsty Iz-cho Nrshno Iz-cho Nrshno Iz-cho Nrshno hb 7-87 Jpn hb 7-87 Jpn M7snoh@ct.nhon-.c.p 7oosw@ct.nhon-.c.p
DETERMINATION OF THERMAL STRESSES OF A THREE DIMENSIONAL TRANSIENT THERMOELASTIC PROBLEM OF A SQUARE PLATE
DRMINAION OF HRMAL SRSSS OF A HR DIMNSIONAL RANSIN HRMOLASIC PROBLM OF A SQUAR PLA Wrs K. D Dpr o Mics Sr Sivji Co Rjr Mrsr Idi *Aor or Corrspodc ABSRAC prs ppr ds wi driio o prr disribio ow prr poi o
A Class of Harmonic Meromorphic Functions of Complex Order
Borg Irol Jourl o D Mg Vol 2 No 2 Ju 22 22 A Clss o rmoc Mromorpc Fucos o Complx Ordr R Elrs KG Surm d TV Sudrs Asrc--- T sml work o Clu d Sl-Smll [3] o rmoc mppgs gv rs o suds o suclsss o complx-vlud
² Metres. Jack & Bore. Wesley Brooks Memorial Conservation Area (Fairy Lake) Directional Drilling** East Holland River. Tom Taylor Trail.
i m Will E Nw Bogr Crk Forcmin Conncion o Nw Nwmrk Forcmin Sr Sr l g r Co Wsly Brooks Mmoril Consrvion Ar (Firy Lk) Bvi r Sr w A v nu Sr ds Scon A w ndr Jck & Bor Dircionl Drilling** Es Rivr k Sr O Cn
FINITE ELEMENT ANALYSIS OF
FINIT LMNT NLYSIS OF D MODL PROBLM WITH SINGL VRIBL Fnt lmnt modl dvlopmnt of lnr D modl dffrntl qton nvolvng sngl dpndnt nknown govrnng qtons F modl dvlopmnt wk form. JN Rddy Modlqn D - GOVRNING TION
ELEN E4830 Digital Image Processing
ELEN E48 Dgal Imag Procssng Mrm Eamnaon Sprng Soluon Problm Quanzaon and Human Encodng r k u P u P u r r 6 6 6 6 5 6 4 8 8 4 P r 6 6 P r 4 8 8 6 8 4 r 8 4 8 4 7 8 r 6 6 6 6 P r 8 4 8 P r 6 6 8 5 P r /
Luiz Leal Oak Ridge National Laboratory. of Massachusetts Institute. of Technology (MIT)
LzLl OkRdgNlLby LsPsdhNl Egg Dp f h MsshssIs f Thlgy(MIT) Csy f Lz Ll, Ok Rdg Nl Lby. Usd wh pss. NI T Idpd Tsp Eq f Φ(E,,Ωˆ ) Ωˆ. Φ + Σ Φ = dωˆ ' de'σ s (E' E, Ωˆ ' Ω)Φ(E', ',Ωˆ ) + S 4 π 0 Σ Msplsss
Convergence tests for the cluster DFT calculations
Covgc ss o h clus DF clculos. Covgc wh spc o bss s. s clculos o bss s covgc hv b po usg h PBE ucol o 7 os gg h-b. A s o h Guss bss ss wh csg s usss hs b us clug h -G -G** - ++G(p). A l sc o. Å h c bw h
In which direction do compass needles always align? Why?
AQA Trloy Unt 6.7 Mntsm n Eltromntsm - Hr 1 Complt t p ll: Mnt or s typ o or n t s stronst t t o t mnt. Tr r two typs o mnt pol: n. Wrt wt woul ppn twn t pols n o t mnt ntrtons low: Drw t mnt l lns on
Chapter 7 Stead St y- ate Errors
Char 7 Say-Sa rror Inroucon Conrol ym analy an gn cfcaon a. rann ron b. Sably c. Say-a rror fnon of ay-a rror : u c a whr u : nu, c: ouu Val only for abl ym chck ym ably fr! nu for ay-a a nu analy U o
INTERQUARTILE RANGE. I can calculate variabilityinterquartile Range and Mean. Absolute Deviation
INTERQUARTILE RANGE I cn clcul vribiliyinrquril Rng nd Mn Absolu Dviion 1. Wh is h grs common fcor of 27 nd 36?. b. c. d. 9 3 6 4. b. c. d.! 3. Us h grs common fcor o simplify h frcion!".!". b. c. d.
Eastern Progress - 3 Mar 1923
922-927 Kk U Y 923-3 923 Kk U //k/ 922-27/7 N VOLU WO X-COON O DUCON OG COND DON COUNY W WOOD LCD DO O NNUL NOC - N CL WNGON DY D Cx W Oz N WN GN O U N N C U D Y C 3 923 CUC OCL W NOD VN W C 9 NO OU UDN
Convergence Theorems for Two Iterative Methods. A stationary iterative method for solving the linear system: (1.1)
Conrgnc Thors for Two Itrt Mthods A sttonry trt thod for solng th lnr syst: Ax = b (.) ploys n trton trx B nd constnt ctor c so tht for gn strtng stt x of x for = 2... x Bx c + = +. (.2) For such n trton
1) They represent a continuum of energies (there is no energy quantization). where all values of p are allowed so there is a continuum of energies.
Unbound Stats OK, u untl now, w a dalt solly wt stats tat ar bound nsd a otntal wll. [Wll, ct for our tratnt of t fr artcl and w want to tat n nd r.] W want to now consdr wat ans f t artcl s unbound. Rbr
Wave Superposition Principle
Physcs 36: Was Lcur 5 /7/8 Wa Suroson Prncl I s qu a common suaon for wo or mor was o arr a h sam on n sac or o xs oghr along h sam drcon. W wll consdr oday sral moran cass of h combnd ffcs of wo or mor
THIS PAGE DECLASSIFIED IAW EO IRIS u blic Record. Key I fo mation. Ma n: AIR MATERIEL COMM ND. Adm ni trative Mar ings.
T H S PA G E D E CLA SSFED AW E O 2958 RS u blc Recod Key fo maon Ma n AR MATEREL COMM ND D cumen Type Call N u b e 03 V 7 Rcvd Rel 98 / 0 ndexe D 38 Eneed Dae RS l umbe 0 0 4 2 3 5 6 C D QC d Dac A cesson
Math 656 Midterm Examination March 27, 2015 Prof. Victor Matveev
Math 656 Mdtrm Examnatn March 7, 05 Prf. Vctr Matvv ) (4pts) Fnd all vals f n plar r artsan frm, and plt thm as pnts n th cmplx plan: (a) Snc n-th rt has xactly n vals, thr wll b xactly =6 vals, lyng n
Explicit Delay and Power Estimation Method for CMOS Inverter Driving on-chip RLC Interconnect Load
Inrnonl Journl of Elcrcl n Elcroncs Engnrng : Explc Dly n Powr Esmon Mho for MOS Invrr Drvng on-hp R Inrconnc o Susm Shoo Mhumn D n Rjb r bsrc h rssv-nucv-cpcv bhvor of long nrconncs whch r rvn by MOS
Fluctuation-Electromagnetic Interaction of Rotating Neutral Particle with the Surface: Relativistic Theory
Fluuaon-lroagn Inraon of Roang Nural Parl w Surfa: Rlavs or A.A. Kasov an G.V. Dov as on fluuaon-lroagn or w av alula rar for of araon fronal on an ang ra of a nural parl roang nar a polarabl surfa. parl
Ash Wednesday. First Introit thing. * Dómi- nos. di- di- nos, tú- ré- spi- Ps. ne. Dó- mi- Sál- vum. intra-vé-runt. Gló- ri-
sh Wdsdy 7 gn mult- tú- st Frst Intrt thng X-áud m. ns ní- m-sr-cór- Ps. -qu Ptr - m- Sál- vum m * usqu 1 d fc á-rum sp- m-sr-t- ó- num Gló- r- Fí- l- Sp-rí- : quó-n- m ntr-vé-runt á- n-mm c * m- quó-n-
Face Detection and Recognition. Linear Algebra and Face Recognition. Face Recognition. Face Recognition. Dimension reduction
F Dtto Roto Lr Alr F Roto C Y I Ursty O solto: tto o l trs s s ys os ot. Dlt to t to ltpl ws. F Roto Aotr ppro: ort y rry s tor o so E.. 56 56 > pot 6556- stol sp A st o s t ps to ollto o pots ts sp. F
Dynamic Magnetometer Calibration and Alignment to Inertial Sensors by Kalman Filtering
Dnc Mgnor lron nd Algnn o Inrl Snsors Kln Flrng Yunn Wu, Snor Mr, IEEE, Dnpng Zou, Pln Lu nd Wnn Yu Asrc Mgnor nd nrl snsors r wdl usd for ornon son. Mgnor usg s ofn roulso, s s pron o nrfrd onord or n
i;\-'i frz q > R>? >tr E*+ [S I z> N g> F 'x sa :r> >,9 T F >= = = I Y E H H>tr iir- g-i I * s I!,i --' - = a trx - H tnz rqx o >.F g< s Ire tr () -s
5 C /? >9 T > ; '. ; J ' ' J. \ ;\' \.> ). L; c\ u ( (J ) \ 1 ) : C ) (... >\ > 9 e!) T C). '1!\ /_ \ '\ ' > 9 C > 9.' \( T Z > 9 > 5 P + 9 9 ) :> : + (. \ z : ) z cf C : u 9 ( :!z! Z c (! $ f 1 :.1 f.
Rate of Molecular Exchange Through the Membranes of Ionic Liquid Filled. Polymersomes Dispersed in Water
Supportng Informton for: Rt of Molculr Exchng hrough th Mmrns of Ionc Lqud Flld olymrsoms Dsprsd n Wtr Soonyong So nd mothy. Lodg *,, Dprtmnt of Chmcl Engnrng & Mtrls Scnc nd Dprtmnt of Chmstry, Unvrsty
CBSE , ˆj. cos CBSE_2015_SET-1. SECTION A 1. Given that a 2iˆ ˆj. We need to find. 3. Consider the vector equation of the plane.
CBSE CBSE SET- SECTION. Gv tht d W d to fd 7 7 Hc, 7 7 7. Lt,. W ow tht.. Thus,. Cosd th vcto quto of th pl.. z. - + z = - + z = Thus th Cts quto of th pl s - + z = Lt d th dstc tw th pot,, - to th pl.
Study of Anisotropy Superconductor using Time-Dependent Ginzburg-Landau Equation
Journ of ur Sn Rr ISS 4386 Ppr ISS 59 Onn Vo.3 o.5 3 www..org br Sud of norop Supronduor ung Tpndn GnburgLndu Equon Fud nwr * P urwnoro rf Hrno. prn of P nvr of Gd Md Sp r Buuur Yogr 558 Indon. prn of
CONSTACYCLIC CODES OF LENGTH OVER A FINITE FIELD
Jorl o Algbr Nbr Tory: Ac Alco Vol 5 Nbr 6 Pg 4-64 Albl ://ccc.co. DOI: ://.o.org/.864/_753 ONSTAYLI ODES OF LENGTH OVER A FINITE FIELD AITA SAHNI POONA TRAA SEHGAL r or Ac Sy c Pb Ury gr 64 I -l: 5@gl.co
NHPP and S-Shaped Models for Testing the Software Failure Process
Irol Jourl of Ls Trds Copug (E-ISSN: 45-5364 8 Volu, Issu, Dcr NHPP d S-Shpd Modls for Tsg h Sofwr Flur Procss Dr. Kr Arr Asss Profssor K.J. Soy Isu of Mg Suds & Rsrch Vdy Ngr Vdy Vhr Mu. Id. dshuh_3@yhoo.co/rrr@ssr.soy.du
FIRST AND SECOND-ORDER TRANSIENT CIRCUITS
FIT AND END-DE TANIENT IUIT IN IUIT WI INDUT AND APAIT VTAGE AND UENT ANNT HANGE INTANTANEUY. EVEN E APPIATIN, EMVA, F NTANT UE EATE A TANIENT BEHAVI EANING GA FIT DE IUIT rcus h conn sngl nrgy sorng lmns.
Analytical Study of a Special Case of Complex Canonical Transform
lobl Jornl o Mhmcl Scncs: hory n Prccl Volm, Nmbr 3 00, pp 6--70 Inrnonl Rsrch Pblcon Hos hp://wwwrphoscom Anlycl Sy o Spcl Cs o Complx Cnoncl rnsorm PR Dshmkh n AS h Pro Rm Mgh Ins o chnology & Rsrch,
Comparative Study of Finite Element and Haar Wavelet Correlation Method for the Numerical Solution of Parabolic Type Partial Differential Equations
ISS 746-7659, England, UK Journal of Informaon and Compung Scnc Vol., o. 3, 6, pp.88-7 Comparav Sudy of Fn Elmn and Haar Wavl Corrlaon Mhod for h umrcal Soluon of Parabolc Typ Paral Dffrnal Equaons S.
Response of MDOF systems
Response of MDOF syses Degree of freedo DOF: he nu nuber of ndependen coordnaes requred o deerne copleely he posons of all pars of a syse a any nsan of e. wo DOF syses hree DOF syses he noral ode analyss
Management Tools for Corporate Social Responsibility (CSR) CSR, why manage it & is it manageable? Overview
Ovvw M Tls f Cp Scl Rspsbly (C) My 15, 2008 Mjk D P Ps Hschl-Uvs Bussl C : wh? C, why & s bl? Th ky ls f sys C ls: Wh xpc f ISO? Ccluss Quss Rfcs C : Wh? INTERNAL Ppl Occupl Hlh d Sfy Hu hs Chld lbu Pl