The Laplace Transform Dual Reciprocity Method for Linear Wave Equations

P. Satravaha, S. Rujivan

Abstract

The Laplace Transform Dual Reciprocity Method (LTDRM) is extended to solve linear wave equations. The time dependence of the problem is removed temporarily from the equations by the Laplace transform. The transformed equation which is now of an elliptic type can be solved in the Laplace space using the dual reciprocity method. Stehfest's algorithm is then used to retrieve numerical solutions to time domain. The effciency of the LTDRM is obvious, especially when the solutions at large time are required, due to an allowance of unlimited time-step size to be used. Several examples are presented to demonstrate the acuracy of the method by comparing the results with those obtained from the coupled finite difference - dual reciprocity method and exact solutions.