Numerical solution of nonlinear Volterra-Fredholm integro-differential equations

被引：35
|
作者：
Darania, P. [1 ]
Ivaz, K. [1 ]
机构：
[1] Univ Tabriz, Dept Math & Comp Sci, Tabriz, Iran
来源：
COMPUTERS & MATHEMATICS WITH APPLICATIONS | 2008年 / 56卷 / 09期
关键词：
Taylor polynomials and series; Volterra and Fredholm integral equation; integro-differential equations;
D O I：
10.1016/j.camwa.2008.03.045
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The aim of this paper is to present an efficient analytical and numerical procedure for solving the high-order nonlinear Volterra-Fredholm integro-differential equations. Our method depends mainly on a Taylor expansion approach. This method transforms the integro-differential equation and the given conditions into the matrix equation. The reliability and efficiency of the proposed scheme are demonstrated by some numerical experiments. (C) 2008 Elsevier Ltd. All rights reserved.
引用
收藏
页码：2197 / 2209
页数：13
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