%0 Journal Article
%T Solving Partial Integro-Differential Equations Using Laplace Transform Method
%J American Journal of Computational and Applied Mathematics
%@ 2165-8943
%D 2012
%I 
%R 10.5923/j.ajcam.20120203.06
%X Partialintegro-differential equations (PIDE) occur naturally in various fields of science, engineering and social sciences. In this article, we propose a most general form of a linear PIDE with a convolution kernel. We convert the proposed PIDE to an ordinary differential equation (ODE) using a Laplace transform (LT). Solving this ODE and applying inverse LT an exact solution of the problem is obtained. It is observed that the LT is a simple and reliable technique for solving such equations. A variety of numerical examples are presented to show the performance and accuracy of the proposed method.
%K Partialintegro-differential equations
%K Laplace transform
%U http://article.sapub.org/10.5923.j.ajcam.20120203.06.html