Authors

Kamel Al‐Khaled

· ORCID 0000-0001-9686-6834

Publications 2

Research article Open access

Numerical Wave Solutions for Nonlinear Coupled Equations using Sinc-Collocation Method

Kamel Al‐Khaled · Sultan Qaboos University Journal for Science · 2015 · 10.24200/squjs.vol20iss2pp19-30

In this paper, numerical solutions for nonlinear coupled Korteweg-de Vries(abbreviated as KdV) equations are calculated by the Sinc-collocation method. This approach is based on a global collocation method using Sinc basis functions. The first step is to discretize time derivative of the KdV equations by a classic fini …

Research article Open access

Homotopy Perturbation Method For Fractional Shallow Water Equations

Kamel Al‐Khaled, M. K. Al-Safeen · Sultan Qaboos University Journal for Science · 2014 · 10.24200/squjs.vol19iss1pp74-86

In this paper, the homotopy perturbation method is adopted to find explicit and numerical solutions for systems of non-linear fractional shallow water equations. The fractional derivatives are described in the Caputo sense. We apply both the homotopy perturbation method and the homotopy analysis method, to solve certai …

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