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1. New algorithm for second-order boundary value problems of integro-differential equation

Author

Yulan, Wang, Chaolu, Temuer, and Jing, Pang

Subjects
*NUMERICAL solutions to boundary value problems, *ALGORITHMS, *INTEGRO-differential equations, *KERNEL functions, *NUMERICAL analysis, *APPROXIMATION theory, *ITERATIVE methods (Mathematics)
Abstract

Abstract: This paper is concerned with a new algorithm for giving the analytical and approximate solutions of a class of boundary value problems in the reproducing kernel space. The analytical solution and approximate solution are represented in terms of series. For any initial function , we prove , , . Two numerical examples are studied to demonstrate the accuracy of the present method. Results obtained by the method indicate the method is simple and effective. [Copyright &y& Elsevier]

Published
2009
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