Radial basis functions method for numerical solution of the modified equal width equation

被引：13

作者：

Dereli, Yilmaz ^{[1
]}

机构：

[1] Anadolu Univ, Dept Math, Eskisehir, Turkey

来源：

INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS | 2010年 / 87卷 / 07期

关键词：

MEW equation; solitary waves; radial basis functions method; SCHEME;

D O I：

10.1080/00207160802395908

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The numerical solution of the modified equal width equation is investigated by using meshless method based on collocation with the well-known radial basis functions. Single solitary wave motion, two solitary waves interaction and three solitary waves interaction are studied. Results of the meshless methods with different radial basis functions are presented.

引用

页码：1569 / 1577

页数：9

共 19 条

[1] Abdul-Majid Wazwaz, 2006, Commun Nonlinear Sci Numer Simul, V11, P148
[2] Numerical solutions of KdV equation using radial basis functions
Dag, Idris
Dereli, Yilmaz
[J]. APPLIED MATHEMATICAL MODELLING, 2008, 32 (04) : 535 - 546
[3] Numerical solution of RLW equation using radial basis functions
Dag, Idris
Dereli, Yilmaz
[J]. INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS, 2010, 87 (01) : 63 - 76
[4] Solitary wave solutions of the modified equal width wave equation
Esen, A.
Kutluay, S.
[J]. COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2008, 13 (08) : 1538 - 1546
[5] A lumped Galerkin method for the numerical solution of the modified equal-width wave equation using quadratic B-splines
Esen, A.
[J]. INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS, 2006, 83 (5-6) : 449 - 459
[6] Solitary waves for the generalized equal width (GEW) equation
Evans, DJ
Raslan, KR
[J]. INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS, 2005, 82 (04) : 445 - 455
[7] Solving partial differential equations by collocation using radial basis functions
Franke, C
Schaback, R
[J]. APPLIED MATHEMATICS AND COMPUTATION, 1998, 93 (01) : 73 - 82
[8] An efficient numerical scheme for Burgers' equation
Hon, YC
Mao, XZ
[J]. APPLIED MATHEMATICS AND COMPUTATION, 1998, 95 (01) : 37 - 50
[9] MULTIQUADRICS - A SCATTERED DATA APPROXIMATION SCHEME WITH APPLICATIONS TO COMPUTATIONAL FLUID-DYNAMICS .1.
KANSA, EJ
[J]. COMPUTERS & MATHEMATICS WITH APPLICATIONS, 1990, 19 (8-9) : 127 - 145
[10] MULTIQUADRICS - A SCATTERED DATA APPROXIMATION SCHEME WITH APPLICATIONS TO COMPUTATIONAL FLUID-DYNAMICS .2. SOLUTIONS TO PARABOLIC, HYPERBOLIC AND ELLIPTIC PARTIAL-DIFFERENTIAL EQUATIONS
KANSA, EJ
[J]. COMPUTERS & MATHEMATICS WITH APPLICATIONS, 1990, 19 (8-9) : 147 - 161

← 1 2 →