He-Laplace Method for Special Nonlinear Partial Differential Equations

Abstract

In this article, we consider Cauchy problem for the nonlinear parabolic-hyperbolic partial differential equations. These equations are solved by He-Laplace method.. It is shown that, in He-Laplace method, the nonlinear terms of differential equation can be easily handled by the use of He’s polynomials and provides better results.

Keywords: Laplace transform method, Homotopy perturbation method, Partial differential equations, He’s polynomials.

AMS Subject classification: 35G10; 35G15; 35G25; 35G30; 74S30.