Solving Partial Integro-Differential Equations Using Laplace Transform Method

• DOI: 10.5923/j.ajcam.20120203.06
• Publication Date: 2012-09-02T22:02:58Z
• Authors: Jyoti Thorwe; Sachin Bhalekar
• Keywords: Ode; Kernel (algebra); Convolution (computer science)

Partialintegro-differential equations (PIDE) occur naturally in various fields of science, engineering and social sciences. In this article, we propose a most general form linear PIDE with convolution kernel. We convert the proposed to an ordinary differential equation (ODE) using Laplace transform (LT). Solving ODE applying inverse LT exact solution problem is obtained. It observed that simple reliable technique for solving such equations. A variety numerical examples are presented show performance accuracy method.