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Abstract and Applied Analysis
Volume 2013 (2013), Article ID 196308, 5 pages
http://dx.doi.org/10.1155/2013/196308
Research Article

Solving a System of Linear Volterra Integral Equations Using the Modified Reproducing Kernel Method

College of Science, Harbin Engineering University, Heilongjiang 150001, China

Received 16 May 2013; Accepted 30 September 2013

Academic Editor: Rodrigo Lopez Pouso

Copyright © 2013 Li-Hong Yang et al. 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

A numerical technique based on reproducing kernel methods for the exact solution of linear Volterra integral equations system of the second kind is given. The traditional reproducing kernel method requests that operator a satisfied linear operator equation , is bounded and its image space is the reproducing kernel space . It limits its application. Now, we modify the reproducing kernel method such that it can be more widely applicable. The n-term approximation solution obtained by the modified method is of high accuracy. The numerical example compared with other methods shows that the modified method is more efficient.