Abstract and Applied Analysis
Volume 2012 (2012), Article ID 971593, 10 pages
http://dx.doi.org/10.1155/2012/971593
Research Article

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

Xueqin Lv and Yue Gao

School of Mathematical Sciences, Harbin Normal University, Heilongjiang, Harbin 150025, China

Received 2 February 2012; Accepted 7 March 2012

Academic Editor: Ljubisa Kocinac

Copyright © 2012 Xueqin Lv and Yue Gao. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

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.