Numerical solution of the system of nonlinear Volterra integro-differential equations with nonlinear differential part by the operational Tau method and error estimation

被引：42

作者：

Abbasbandy, S. ^{[1
]}

Taati, A. ^{[1
]}

机构：

[1] Imam Khomeini Int Univ, Dept Math, Ghazvin 3414916818, Iran

来源：

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS | 2009年 / 231卷 / 01期

关键词：

Tau method; Operational Tau method; Nonlinear Volterra integro-differential equation system; Error estimation;

D O I：

10.1016/j.cam.2009.02.014

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The operational Tau method, a well-known method for solving functional equations, is employed to solve a system of nonlinear Volterra integro-differential equations with nonlinear differential part. In addition, an error estimation of the method is presented. Some cases of the mentioned equations are solved as examples to illustrate the ability and reliability of the method. The results reveal that the method is very effective and convenient. (C) 2009 Elsevier B.V. All rights reserved.

引用

页码：106 / 113

页数：8

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