Reproducing Kernel Space Method for the Solution of Linear Fredholm Integro-Differential Equations and Analysis of Stability

被引：2

作者：

Lv, Xueqin ^{[1
]}

Gao, Yue ^{[1
]}

机构：

[1] Harbin Normal Univ, Sch Math Sci, Harbin 150025, Peoples R China

来源：

ABSTRACT AND APPLIED ANALYSIS | 2012年

基金：

中国国家自然科学基金;

关键词：

HOMOTOPY PERTURBATION METHOD; NUMERICAL-SOLUTION; INTEGRAL-EQUATION;

D O I：

10.1155/2012/971593

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We present a numerical method to solve the linear Fredholm integro-differential equation in reproducing kernel space. A simple algorithm is given to obtain the approximate solutions of the equation. Through the comparison of approximate and true solution, we can find that the method can effectively solve the linear Fredholm integro-differential equation. At the same time the numerical solution of the equation is stable.

引用

页数：10

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