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Research Article Open access CC BY 4.0

A Substitution Method for Partial Differential Equations Using Ramadan Group Integral Transform

Mohamed A. Ramadan, Kamal R. Raslan, Adel R. Hadhoud, Asmaa K. Mesrega

Asian Research Journal of Mathematics · pp. 1–10 · Published 6 Dec 2017

10.9734/ARJOM/2017/37816

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.

Nonlinear partial differential equations Ramadan Group transformation Adomian decomposition method Laplace substitution method.

Cited by 2

Dualities and applications of the new integral transform

Borhen Halouani, Praveen Ailawalia, A. M. Abdallah · AIP Advances · 2024

Ramadan Group Transform Fundamental Properties and Some its Dualities

A. A. Soliman, K. R. Raslan, A. M. Abdallah · Communications in Computer and Information Science · 2022

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