Differential Transform Method for Solving the Linear and Nonlinear Westervelt Equation

In this paper, a differential transform method (DTM) is used to find the numerical solution of the linear and nonlinear Westervelt equation. Exact solution can also be achieved by the known forms of the series solution. In this paper, we present the definition and operation of the three-dimensional differential transform and investigate the particular exact solution of system of partial differential equations that usually arise in applied mechanic by a three-dimensional differential transform method. The numerical result of the present method is presented and compared with the exact solution that is calculated by the Laplace transform method.