homotopy perturbation method and aboodh transform for solving nonlinear partial differential equations

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...

THE ELZAKI HOMOTOPY PERTURBATION METHOD FOR PARTIAL DIFFERENTIAL EQUATIONS

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...

Homotopy Perturbation Method for Solving Partial Differential Equations

We apply a relatively new technique which is called the homotopy perturbation method (HPM) for solving linear and nonlinear partial differential equations. The suggested algorithm is quite efficient and is practically well suited for use in these problems. The proposed iterative scheme finds the solution without any discretization, linearization or restrictive assumptions. Several examples are ...

Applications of Homotopy Perturbation Method for Nonlinear Partial Differential Equations

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...

Solving Fuzzy Impulsive Fractional Differential Equations by Homotopy Perturbation Method

In this paper, we study semi-analytical methods entitled Homotopy pertourbation method (HPM) to solve fuzzy impulsive fractional differential equations based on the concept of generalized Hukuhara differentiability. At the end first of Homotopy pertourbation method is defined and its properties are considered completely. Then econvergence theorem for the solution are proved and we will show tha...

Numerical solutions of two-dimensional linear and nonlinear Volterra integral equations: Homotopy perturbation method and differential transform method