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- Mohamed S. Mohamed, Khaled A. Gepreel, Faisal Al-Malki, Maha Al-Humyani
- J. Applied Mathematics
- 2015

Homotopy Analysis Transform Method (HATM) is applied to tackle timespace fractional Gas dynamics equation. The proposed HATM is an elegant coupling of homotopy analysis method (HAM) and Laplace transform. The method gives an analytical solution in the form of a convergent series with easily computable components, requiring no linearization or small… (More)

The fractional derivatives in the sense of Caputo, and the homotopy analysis method (HAM) are used to construct the approximate solutions for nonlinear fractional dispersive long wave equation with reaspect to time fractional derivative. The HAM contains a certain auxiliary parameter which provides us with a simple way to adjust and control the convergence… (More)

- Faisal Al-Malki
- Computers & Mathematics with Applications
- 2013

The space-time neutron diffusion equations with multi-group of delayed neutrons are a couple of the stiff nonlinear partial differential equations. The finite difference method is used to reduce the partial differential equations into ordinary differential equations. This ordinary differential equations are rewritten in a matrix form. The general solution… (More)

We consider generalized flame balls which correspond to stationary spherical flames with a flow of hot inert gas, either a source or a sink, at the origin. Depending on the flow, these flames can have positive, zero, or negative burning speeds, with zero speeds characterizing the Zeldovich flame balls. A full analytical description of these structures and… (More)

- Mohamed S. Mohamed, Khaled A. Gepreel, Faisal Al-Malki, Nouf Altalhi
- J. Applied Mathematics
- 2014

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