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

محورهای موضوعی : Applied Mathematics

Khalid Aboodh ¹ ( Department of Mathematics Omdurman Islamic University (http: //www. fst. oiu. edu. sd) sudan )

تاریخ دریافت : 1393/12/21 تاریخ پذیرش : 1395/01/31 تاریخ انتشار : 1396/02/11

کلید واژه: Homotopy Perturbation method, Aboodh transform, Nonlinear partial differential equations,

چکیده مقاله :

Here, a new method called Aboodh transform homotopy perturbation method(ATHPM) is used to solve nonlinear partial dierential equations, we presenta reliable combination of homotopy perturbation method and Aboodh transformto investigate some nonlinear partial dierential equations. The nonlinearterms can be handled by the use of homotopy perturbation method. The resultsshow the eciency of this method. Aboodh transform was introducedby Khalid Aboodh to facilitate the process of solving ordinary and partialdifferential equations in the time domain.

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