Reduced differential transform method to solve two and three dimensional second order hyperbolic telegraph equations

Abstract

In this article, an analytical solution procedure is described for solving two and three dimensional second order hyperbolic telegraph equation using a reliable semi-analytic method so called the reduced differential transform method (RDTM) subject to the appropriate initial condition. Using this method, it is possible to find an exact solution or a closed approximate solution of a differential equation. Various numerical examples are carried out to check the accuracy, efficiency, and convergence of the described method. The method is a powerful mathematical tool for solving a wide range of problems arising in engineering and sciences.