FOURTH ORDER COMPACT METHOD FOR ONE DIMENSIONAL HOMOGENEOUS DAMPED WAVE EQUATION

Abstract

Finite Difference Method (FDM) and FourthOrder Compact Method (FOCM) are presentedin this paperfor the solutions of the well known one dimensionalHomogeneous Damped Wave Equation. First we develop a general scheme for FDM and FOCM for the Damped Wave Equation and then its validity is checked through applications. The results obtained by the FDM and FOCM are compared with the exact solutions for these applications. Results have obtained numerically and graphically.We use FORTRAN 90 for the calculation of the numerical results and MS Office for graphical comparison.