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Mohamed A. Ramadan

Publications (3)

Solution of Partial and Integro-Differential Equations Using the Convolution of Ramadan Group Transform

Mohamed A. Ramadan & Asmaa K. Mesrega · Asian Research Journal of Mathematics · 2018

Differential and integral as well as Partial integro-differential equations (PIDE) occur naturally in various fields of science, engineering and social sciences. In this article, the Ramadan group integral transform of the convolution is used to solve such types of equations. We...

Open access Research Article 10.9734/ARJOM/2018/45489

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 · 2017

 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 separa...

Open access Research Article 10.9734/ARJOM/2017/37816

Numerical Solution of Volterra-Fredholm Integral Equations Using Hybrid Orthonormal Bernstein and Block-Pulse Functions

Mohamed A. Ramadan & Mohamed R. Ali · Asian Research Journal of Mathematics · 2017

We have proposed an efficient numerical method to solve a class of mixed Volterra-Fredholm integral equations (VFIE’s) of the second kind, numerically based on Hybrid Orthonormal Bernstein and Block-Pulse Functions (OBH). The aim of this paper is to apply OBH method to obtain app...

Open access Research Article 10.9734/ARJOM/2017/34324