A new technique of Laplace Padé reduced differential transform method for (1+3) dimensional wave equations

Abstract

The aim of this paper is to give a good strategy for solving some linear and non-linear partial differential equations in mechanics, physics, engineering and various other technical fields by Modified Reduced Differential Transform Method. In this article we use the method named with Laplace-Padé Reduced Differential Transform Method. This method is obtained by combining Laplace-Padé resummation method, which is a useful technique to find exact solutions, and the Reduced Differential Transform Method. We apply the method to the wave equations and give some examples to see its effectiveness and usefulness. The results and the findings showed that this method leads us to exact solutions with a few iterations or the approximate solutions with small errors.

Keywords

• Laplace-Padé Reduced Differential Transform Method (LPRDTM),Modified Reduced Differential Transform Method (MRDTM),Reduced Differential Transform Method (RDTM),Partial differential equations (PDEs),wave equation

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