A Reproducing Kernel Method for Solving Systems of Integro-differential Equations with Nonlocal Boundary Conditions

摘要

The aim of this paper is to present a reproducing kernel method for solving system of integro-differential equations with nonlocal boundary conditions. The solution obtained by using the present method takes the form of a convergent series with easily computable components. The analysis of convergence shows that the approximate solution and its derivatives converge to the exact solution and its derivatives, respectively. The numerical examples are given to demonstrate the accuracy of the present method. Results obtained by using the present method are compared with those of the exact solution of each example and are found to be in good agreement.