A method for the numerical solution of the integro-differential equations

被引：133

作者：

Darania, P. ^{[1
]}

Ebadian, Ali ^{[1
]}

机构：

[1] Urmia Univ, Fac Sci, Dept Math, Orumiyeh, Iran

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2007年 / 188卷 / 01期

关键词：

one and two-dimensional differential transformation; integro-differential equations; numerical and approximation solutions; Taylor's series expansion;

D O I：

10.1016/j.amc.2006.10.046

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this note, the differential transformation is applied to solve the linear first order ordinary Fredholin integro-differential equations. We will give an applicable relation between the one and two-dimensional differential transformation, in order to solve integro-differential equations. Also, we extend this method for searching the numerical solutions of linear higher-order ordinary Fredholin integro-differential equations. Numerical examples are used to illustrate the preciseness and effectiveness of the proposed method. (C) 2006 Elsevier Inc. All rights reserved.

引用

页码：657 / 668

页数：12

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