Coupling of Laplace Transform and Differential Transform for Wave Equations
Kiranta Kumari *
Department of Mathematics and Statistics, Banasthali University, Banasthali-304022, India
P. K. Gupta
Department of Mathematics, National Institute of Technology, Silchar-788010, India
G. Shanker
Centre for Mathematics and Statistics, Central University of Punjab, Bathinda-151001, India
*Author to whom correspondence should be addressed.
Abstract
In this paper, we apply Differential Transform Method (DTM) coupled with Laplace Transform Method to solve wave equations and wave-like equations which arise very frequently in physical problems related to engineering and applied sciences. It is observed that the proposed technique works very well and gives rapidly converging series solutions. Several examples are given to re-confirm the efficiency of the suggested algorithm. The graphs were performed by using Mathematica-8.
Keywords: DTM, Laplace transformation, wave equations, Mathematica