Applications of the two-dimensional differential transform and least square method for solving nonlinear wave equations

Abstract

The differential transform and least square are analytical methods for solving differential equations. In this article, twoDimensional Differential Transform Method (2D DTM) and Least Square Method (LSM) are applied to obtaining the analytic solution of the two- dimensional non- linear wave equations. We demonstrate that the differential transform method and least square are very effective and convenient for achieving the analytical solutions of linear or nonlinear partial differential equations. Also, three examples are given to demonstrate the exactness of the methods. Results of these methods are compared with the exact solution

Keywords

• Two-Dimensional Transform Method (2D DTM),wave equation,analytical solution,Least Square Method (LSM) and exact solution

R. Hasankhani Gavabaria1, D.D. Ganjib2,*, A.Bozorgic3

Abstract

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