Solutions of integral and integro-differential equation systems by using differential transform method

被引：112

作者：

Arikoglu, Aytac ^{[1
]}

Ozkol, Ibrahim ^{[1
]}

机构：

[1] Istanbul Tech Univ, Fac Aeronaut & Astronaut, TR-34469 Istanbul, Turkey

来源：

COMPUTERS & MATHEMATICS WITH APPLICATIONS | 2008年 / 56卷 / 09期

关键词：

Integral equation system; Integro-differential equation system; Differential transform method; DTM; Fredholm integral;

D O I：

10.1016/j.camwa.2008.05.017

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this study, differential transform method (DTM) is applied to both integro-differential and integral equation systems. The method is further expanded with a formulation to treat Fredholm integrals. If the system considered has a solution in terms of the series expansion of known functions, this powerful method catches the exact solution. So as to show this capability and robustness, some systems of integral and integro-differential equations are solved as numerical examples. (C) 2008 Elsevier Ltd. All rights reserved.

引用

页码：2411 / 2417

页数：7

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