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Mohamed El-Gamel

Publications (3)

Generalized Sturm-Liouville Problems and Chebychev Collocation Method

Mohamed El-Gamel & Mona Sameeh · Journal of Advances in Mathematics and Computer Science · 2014

In this paper, we present an algorithm for approximating the eigenvalues of Sturm-Liouville problems with parameter-dependent boundary conditions. The algorithm is based on the Chebychev method. A few examples shall be presented to illustrate the proposed method and a comparison...

Open access Research Article 10.9734/BJMCS/2014/7670

Sinc-collocation Algorithm for Solving Nonlinear Fredholm Integro-differential Equations

Adel Mohsen & Mohamed El-Gamel · Journal of Advances in Mathematics and Computer Science · 2014

This paper is concerned with the numerical solution using sinc-collocation method of nonlinear Fredholm integro-differential equations. The algorithm is based on replacing the exact solution by a linear combination of sinc functions. The resulting nonlinear equations are treated...

Open access Research Article 10.9734/BJMCS/2014/8247