USING DIFFERENTIAL TRANSFORM METHOD FOR SOLVING SOME FAMOUS PARTIAL DIFFERENTIAL EQUATIONS

In this paper, we propose a reliable algorithm to develop exact and approximate solutions for the linear and nonlinear famous partial differential equations. We begin by showing how the DTM applies to the linear and nonlinear parts of any PDE and then give one example to illustrate the sufficiency of this method for solving such PDE’s. This method can easily be applied to many linear and nonlinear problems and is capable of reducing the size of computational work. Exact solutions can also be achieved by the known forms of the series solution. It is an useful tool for analytical solutions.