Numerical solution of a class of mixed two-dimensional nonlinear Volterra-Fredholm integral equations using multiquadric radial basis functions

被引：15

作者：

Almasieh, H. ^{[1
]}

Meleh, J. Nazari ^{[1
]}

机构：

[1] Islamic Azad Univ, Khorasgan Isfahan Branch, Dept Math, Esfahan, Iran

来源：

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS | 2014年 / 260卷

关键词：

Radial basis function; Multiquadrics; Mixed nonlinear Volterra-Fredholm integral equations; Two-dimensional integral equations; COLLOCATION METHODS; SPREAD;

D O I：

10.1016/j.cam.2013.09.067

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

An efficient numerical method is proposed for solving the mixed nonlinear Volterra-Fredholm two-dimensional integral equations (IEs), using two-dimensional radial basis functions (RBFs). This method is based on interpolation by radial basis functions including multiquadrics (MQs), using Legendre-Gauss-Lobatto nodes and weights. Also a theorem is proved for convergence analysis. Some numerical examples are presented and results are compared with the analytical solution to demonstrate the validity and applicability of the proposed method. (C) 2013 Elsevier B.V. All rights reserved.

引用

页码：173 / 179

页数：7

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