Polynomial Based Differential Quadrature Method For The Solution Of Time Dependent Diffusion Equation

Abstract

The Differential Quadrature method is a powerful numerical method for the solution of partial differential equation that arise in varies field,of mathematics,engineering,and physics.This thesis presents the differential quadrature method for solving time dependent diffusion problems. Differential Quadrature Method discretizes the space derivative giving a system of ordinary differential equation with respect to time. fourth order Runge-Kutta method is employed for solving this system. stability of discretized differential quadrature equation are determined and step sized are arranged accordingly. The method is applied to two problems and the solution are presented in terms of graph comparing with the exact solution.