Solution of the non-linear partial differential equations by RDT Method

Abstract

Using the Reduced Differential Transform Method (RDTM), it is possible to find the exact solutions or better approximate solutions of wide classes of problems in mathematical physics. In
this paper, this method is used for solving the Kawahara and the nonlinear Phi-four Equation with given initial conditions containing arbitrary constants. The numerical solutions obtained by RDTM
are compared with the known exact solutions by fixing the arbitrary constants. The obtained results show that the solutions obtained by RDTM are in good agreement with the known exact solutions.