Homotopy Perturbation Method and Aboodh Transform for Solving Nonlinear Partial Differential Equations

Theory of Approximation and Applications

مقاله 1، دوره 11، شماره 1، مرداد 2017، صفحه 1-12   

نوع مقاله: Research Articles

نویسنده

Khalid Aboodh^*

Department of Mathematics Omdurman Islamic University (http: //www. fst. oiu. edu. sd) sudan

چکیده

Here, a new method called Aboodh transform homotopy perturbation method
(ATHPM) is used to solve nonlinear partial dierential equations, we present
a reliable combination of homotopy perturbation method and Aboodh transform
to investigate some nonlinear partial dierential equations. The nonlinear
terms can be handled by the use of homotopy perturbation method. The results
show the eciency of this method. Aboodh transform was introduced
by Khalid Aboodh to facilitate the process of solving ordinary and partial
differential equations in the time domain.

کلیدواژه‌ها

Aboodh transform؛ Homotopy Perturbation method؛ Nonlinear partial differential equations

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