FINITE ELEMENT MODEL FOR LINEAR SECOND ORDER ONE DIMENSIONAL HOMOGENEOUS TELEGRAPH EQUATION

Abstract

The Telegraph equation arises in the propagation of electrical signals along a transmission line and wave phenomena. Interaction between convection and diffusion or reciprocalaction of reaction and diffusion describes a number of nonlinear physical, chemical and biological processes. Linear second order hyperbolic partial differential equations describe various phenomena in acoustics, electromagnetic and fluid dynamics. In this paper, a Galerkin based Finite Element Model has been developed to solve linear second order one dimensional Telegraph equation numerically. Accuracy of the developed scheme has been analyzed by comparing the numerical solution with exact solution.