New Approach for Solving (2+1)-Dimensional Differential Equation

Author:

Hussein N. A.,Tawfiq L. N. M.

Abstract

Abstract This article presents an exact analysis solution for (2+1) dimensional differential equations by using new approach based on coupled method via LA-transform with decomposition method to overcome the computational difficulties. Convergence of series solution has been discussed with two illustrated examples, and the method has shown a high-precision, fast approach to solve non-linear (2+1) dimensional PDEs with initial conditions, there is no need any discretization of domain or assumption for a small parameter to be present in the problem. The steps of suggested method are easy implemented, high accuracy and a rapid convergence to the exact solution compared with other methods can be used to solve this type of PDEs.

Publisher

IOP Publishing

Subject

General Physics and Astronomy

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