x xi r 0. The most popular RBFs are given as follows: IUST International Journal of Engineering Science, Vol. 19, No.5-2, 2008, Page 21-26

Transcription

1 IST Iol Jol of Egg S Vol 9 o5-8 Pg -6 O THE MERICAL SOLTIO OF OE IMESIOAL SCHROIGER EQATIO WITH OARY COITIOS IVOLVIG FRACTIOAL IFFERETIAL OPERATORS Jzb & M Mo Ab: I pp w y of olloo mo w Rl Fo o olv o mol m p Sog qo bo om To w o fl bo ogl poblm o l boy vl poblm bo om w p boy oo volv lf o fol vv T g w Lpl Tfom mo olloo mo flly Lg po mo ml mpl gv o ow ffv of m Kywo: T Sog qo Colloo mo Rl Fo Fol vv boy oo Lg po mo Ioo T m p Sog qo b of qm m [ ] T mol qo lo my o pl om of pyl ologl g op mology plm py T lo of o ml olo of l-boy poblm fo olvg l o ol Sog qo [ 5 6] W w w o olv mlly ffl qo f o f om y o o f b om o fl boy oo wy olo f b om ppom ogl olo If ppomo f ll opog fl boy oo ll o p I pp pplo of olloo mo w RF o olv o mol m p Sog qo vg A fly w ppo o olvg PE og Rl Fo RF T RF p oly o y w o El om T RF my lo v p pm w pl w w om fo f fo T mo popl RF gv follow: Pp f v Jly 5 8 v fom My 7 9 Jzb w pm of Mm I vy of S Tology T I E-ml: M Mo w pm of Mm I vy of S Tology T I E-ml: m-mo@ Mlq MQ: Iv Mlq IMQ: G GA: p Iv q IQ: 5 5 A y f of RF mo o o q g T oly gom pop RF ppomo p-w bw po S y o omp fo wog g mo pl p o o ompol m T mo wo w po ogo om of RF pol l ombo of RF po : w off lly m by olloo w gv fo vl o vv fomo Fo y mo bo o boo by Cy Lg [7]

2 O ml Solo of O mol Sog Eqo T m of pp ogz follow: o w o o mol m p Sog qo w p boy oo TC oo of m I o w gv olloo mo w RF fo ppomo poblm T vo foml fo Lpl fom b o T ml l popo o 5 T Coo of Sm I pp w o followg l qo [8]: V W T V g gv pol l vl fo o ompl l gv o R ow fo ompl vl fo o L pl l om o go Fo o f w o wo fl bo follow: T T T om v o p Two bo p follow: T T o bo p : T o ompol T f b om om L V omp ppo w: o o g oo of Rm- Lovll fol vv boy oo b w : [ ] o [ ] o A oq boy vl poblm o ppom ow gv by: T T 5 6 T l boy vl poblm wll-po olo o w olo of ogl poblm o [] H w fo o mol fo bo W o l: p p [] W o o of olo of poblm o om T TC fo Sog qo v b ply v by vl o fom vo pplo fl [9 ] Ty o-lol : 7

3 Jzb & M Mo Aog o qo 7 w w qo 5 6 follow: 8 9 y pplyg Lpl fom fo qo 8 9 w v: K K w: L K Fo zo w o: w pov g pl z T o mol ol po f : po of Colloo Mo W RF I o w y olloo mo w RF L b olloo ol po ] [ I y w o mlq RF f : w: T ow fo b ppom : ' Lpl fom: w : L ow ow y g olloo mo fo PE w v followg qo: 5 Sbg o 5 w ob followg m: " Af mplfy w v: 6 W: ] [ p ] [ ] [ p Tfo bg o w ob followg m: 7 8 K W W Q Q K W:

4 O ml Solo of O mol Sog Eqo W K Q K Iog vo : m: T p m A f pov f fo ogl [7] W ob opog ym of 9 w volv qo ow T ym b olv mo o o mo T p of o ml m o of ppomo vo of Lpl fom W bfly followg o T Ivo Foml fo Lpl Tfom T poblm of ovy of l fo gv Lpl fom []: K H Q E W Q W Q W W v m fom of follow: H E W 9 H E m o q of olo 9 oq of followg om Tom: If f omplly mooo b o o o [ ] fo f l ly pov f fo o y po p T fo y po fo l vl of ll-po poblm of Hm fo ff by ml bly T ffly o vy o w lo ow fo ompl vl of I vl mo v b vlop w gl wo wll v f y q lg ompol o g-po m Mo bl mo b f [] H w pl o of vo foml fo llo of ogl fo ll Lg po mo [] I' ow of Lpl fom b foml by g Lg polyoml If f po of pov l l fo: my b p Fo-Lg : P w off gv by foml: P P Mg of Mpy' foml: P! w :

5 Jzb & M Mo 5! H w v vo foml: P w off gv by foml T foml fl w fom ow of po 5 ml Rl Empl Co l vl poblm of Sog qo follow: I' ly olo : W mb of o 7 b fo follow: W opog o : Empl Co l vl poblm of Sog qo follow: I' ly olo : W mb of o 7 b fo follow: W opog o : 5 6 Colo I pp w v p m o ob ml olo of Sog qo w TC g olloo mo T l po ow olloo mo b o RF my vg omp w o mo f ff mo f lm mo F ff mo b m g-o b q g F lm mo gly flbl b o v g-o y bo og m go bom gly ffl w mb of p mo T mo powfl f of o m flbly of mplmo pplo T ml m o of wo p olloo mo Lpl fom mo o mo ll-oo To blz olloo mo w my RF by omp ppo Rly mo bl mo omm by vgo O o w ob ppomo fo y o glz mo o g mo Rf [] S m H "T P oo of Qm M" Spg l 995 [] Gff J "Ioo o Qm M" P-Hll Eglwoo Clff J 995 [] C TF L S L "Sbl Epl Sm fo Eqo of Sog Typ" SIAM J m Al Vol 986 pp 7-8

6 6 O ml Solo of O mol Sog Eqo [] C J Q MZ "Ml-Sympl Fo Popl Mo fo ol Sog Eqo" Elo T m Al Vol pp 9- [5] Cloo A Hb M Wm JAC "A ml Sy of ol Sog Eqo Ivolvg Q Tm" J Comp Py Vol pp 7-6 [6] W L G R S S "O Sbly of FT Mo fo Solvg Tm p Sog Eqo" m Mo Pl ffl Eq Vol 5 pp -5 [7] Cy EW Lg WA "A o Appomo Toy" oo / ol w Yo [8] H H J J W X "A F-ff Mo fo o mol Tm- p Sog Eqo o bo om" Comp Mm w Applo Vol 5 5 pp 5-6 [9] ov VA Popov AV "Implmo of Tp o fo ml Solo of Sog Eqo" Wv Moo Vol 99 pp -8 [] Hllm JR Fly WR "o-mov Op- Sym oy Coo fo Tm p Sog Eqo" Py Rv Vol 9 99 pp 9-96 [] Ao X C "oolly Sbl zo Sm of o-rflg oy Coo fo O-mol Sog Eqo" J Comp Py Vol 88 pp [] z P Fo M "O Rglz Ivo of Lpl Tfom" Iv poblm Vol 7 99 pp p K [] So I "T of Igl Tfom" oo Compy w Yo 97 [] Kyzy VV "ml vo of Lpl Tfom: Aly V Rglz Aly Coo" Iv Poblm Vol 6 pp