APPLICATION OF LAPLACE TRANSFORM HOMOTOPY PERTURBATION METHOD TO NONLINEAR PARTIAL DIFFERENTIAL EQUATIONS
نویسندگان
چکیده
منابع مشابه
Homotopy Perturbation Method and Aboodh Transform for Solving Nonlinear Partial Differential Equations
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 me...
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In this paper, Elzaki Homotopy Perturbation Method is employed for solving linear and nonlinear differential equations with a variable coffecient. This method is a combination of Elzaki transform and Homotopy Perturbation Method. The aim of using Elzaki transform is to overcome the deficiencies that mainly caused by unsatised conditions in some semi-analytical methods such as Homotopy Perturbat...
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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...
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The Drinfeld-Sokolov (DS) system was first introduced by Drinfeld and Sokolov and it is a system of nonlinear partial differential equations owner of the Lax pairs of a special form [1]. The physical motivation of this system was explained in detail by Ref.[2]. Generalized form of the DS system has been studied by different authors using the various methods [3, 4, 5, 6, 7, 8, 9, 10]. In order t...
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In the research, nonlinear volterra partial integro-differential equation is considered. This paper compares the Homotopy Perturbation Method (HPM) with Variational Iteration Method (VIM) for solving this equation. Compared with the Adomian Decomposition Method (ADM), the methods used for this equation need less work. The results of applying these methods show the simplicity and efficiency of t...
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ژورنال
عنوان ژورنال: International Journal of Research in Engineering and Technology
سال: 2016
ISSN: 2321-7308,2319-1163
DOI: 10.15623/ijret.2016.0505077