Direct method for solving nonlinear two-dimensional Volterra-Fredholm integro-differential equations by block-pulse functions

Document Type: Research Paper

Authors

Department of Mathematics, Ardabil Science and Research Branch, Islamic Azad University, Ardabil, Iran

Abstract

In this paper, an effective numerical method is introduced for the treatment of nonlinear two-dimensional Volterra-Fredholm integro-differential equations. Here, we use the so-called two-dimensional block-pulse functions.First, the two-dimensional block-pulse operational matrix of integration and differentiation has been presented. Then, by using this matrices, the nonlinear two-dimensional Volterra-Fredholm integro-differential equation has been reduced to an algebraic system. Some numerical examples are presented to illustrate the effectiveness and accuracy of the method

Keywords