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

被引：135
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
收藏
页码：657 / 668
页数：12
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