A Substitution Method for Partial Differential Equations Using Ramadan Group Integral Transform
Mohamed A. Ramadan *
Department of Mathematics, Faculty of Science, Menofia University, Shebin El Kom, Egypt.
Kamal R. Raslan
Department of Mathematics, Faculty of Science, Al-Azhar University, Cairo, Egypt.
Adel R. Hadhoud
Department of Mathematics, Faculty of Science, Menofia University, Shebin El Kom, Egypt.
Asmaa K. Mesrega
Department of Mathematics, Faculty of Science, Menofia University, Shebin El Kom, Egypt.
*Author to whom correspondence should be addressed.
Abstract
In this paper we introduce the concept of Ramadan Group integral transform substitution (RGTS) method to solve some types of Partial differential equations. This new method is a convenient way to find exact solution with less computational cost as compared with method of separation of variables (MSV) and variation iteration method (VIM). The proposed method solves linear partial differential equations involving mixed partial derivatives.
Keywords: Nonlinear partial differential equations, Ramadan Group transformation, Adomian decomposition method, Laplace substitution method.