A Sinc-collocation Method for Second-order Boundary Value Problems of Nonlinear Integro-differential Equation

Abstract

1Department of Mathematics, Alzahra University, Tehran, Iran 2Department of Applied Mathematics, Faculty of Mathematical Sciences, University of Kashan, Kashan 87317-51167, Iran (Received November07, 2011, accepted March 1, 2012) The sinc-collocation method is presented for solving second-order boundary value problems of nonlinear integro-differential equation. The method is effective for approximation in the case of the presenceof end-point singularities. Some properties of the sinc-collocation method required for our subsequent development are given and are utilized to reduce the computation of solution of the second-order boundary value problems of nonlinear integro-differential equation to some algebraic equations. Some numerical results are also given to demonstrate the validity and applicability of the presented technique.