*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]