A comparative study of numerical solutions of a class of KdV equation

被引：15

作者：

Khattak, A. J. ^{[1
]}

Siraj-ul-Islam ^{[2
]}

机构：

[1] GIK Inst Engn Sci & Technol, Topi, Pakistan

[2] Univ Engn & Technol, Peshawar, Pakistan

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2008年 / 199卷 / 02期

关键词：

Korteweg-de Vries equation; radial basis functions; multiquadric; Gaussian; collocation method; solitons;

D O I：

10.1016/j.amc.2007.10.002

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this work, we present a comparative study of meshless method, modified Bernstein polynomials (BP) and B-Spline finite element method (BS-FEM) for the numerical solution of two different models of Korteweg-de Vries (KdV) equation. The multiquadric (MQ) and Gaussian (GA) Radial basis functions (RBFs) are used due to exponential convergence rate. Excellent agreement is found between exact and RBFs solutions and same accuracy is obtained as Bernstein polynomials and B-Spline finite element method. (c) 2007 Elsevier Inc. All rights reserved.

引用

页码：425 / 434

页数：10

共 16 条

[1] Numerical solution of Korteweg-de Vries equation by Galerkin B-spline finite element method [J].