Combination of Ramadan Group and Reduced Differential Transforms for Partial Differential Equations with Variable Coefficients

Abstract

In this article, an analytical technique is provided to solve partial differential equations with variable coefficients. This technique is a combination of the integral transform known as Ramadan group integral transform with the reduced differential transform. The method can easily be applied to many nonlinear problems and is capable of reducing the size of computational work to overcome the deficiency that is caused by of the nonlinear terms that can not be handled using the known integral transforms alone.  Illustrative examples are examined to support the proposed method. The results reveal that the suggested method is simple and effective.