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Dr. Mohamed Meabed Bayumi Khader :: Publications:
Homotopy perturbation method for multi- dimensional nonlinear coupled system of parabolic and hyperbolic equations, Topological Methods in Nonlinear Analysis, 31, p.(295-304), ().
|Authors:||N. H. Sweilam, M. M. Khader and R. F. Al-Bar|
|Paper Link:||Not Available|
|Full paper||Mohamed Meabed Bayumi Khader_PAPER_07.pdf|
|Supplementary materials||Not Available|
In this paper, the variational iteration method (VIM) and the Adomian decomposition method (ADM) are presented for the numerical simulation of the population dynamics model with density-dependent migrations and the Allee effects. The convergence of ADM is proved for the model problem. The results obtained by these methods are compared to the exact solution. It is found that these methods are always converges to the right solutions with high accuracy. Furthermore, VIM needs relative less computational work than ADM.