Variational Homotopy Perturbation Method for Solving Higher Dimensional Initial Boundary Value Problems

VARIATIONAL HOMOTOPY PERTURBATION METHOD FOR SOLVING THE NONLINEAR GAS DYNAMICS EQUATION

A. Noor et al. [7] analyze a technique by combining the variational iteration method and the homotopy perturbation method which is called the variational homotopy perturbation method (VHPM) for solving higher dimensional initial boundary value problems. In this paper, we consider the VHPM to obtain exact solution to Gas Dynamics equation.

Solving the non linear system of third order boundary value problems by using He's homotopy perturbation method

Application of Variational Homotopy Perturbation Method for Solving the Cauchy Reaction-diffusion Problem

In a recent paper, M.A. Noor et al. (Hindawi publishing corporation, Mathematical Problems in Engineering, Volume 2008, Article ID 696734, 11 pages, doi:10.1155/2008/696734) proposed the Variational Homotopy Perturbation Method (VHPM) for solving higher dimentional initial boundary value problems. In this paper, we use the proposed method to obtain the solution of Cauchy reaction-diffusion prob...

THE APPLICATION OF THE VARIATIONAL HOMOTOPY PERTURBATION METHOD ON THE GENERALIZED FISHER'S EQUATION

In this paper, we consider the variational homotopy perturbation method (VHPM) to obtain an approximate series solution for the generalized Fisher’s equation which converges to the exact solution in the region of convergence. Comparisons are made among the variational iteration method (VIM), the exact solutions and the proposed method. The results reveal that the proposed method is very effectiv...

Variational Iteration Decomposition Method for Solving Higher Dimensional Initial Boundary Value Problems

In this paper, we implement the variational iteration decomposition method (VIDM) for solving the higher dimensional initial boundary value problems by using the equivalent system of integral equations. The analytical results of the equations have been obtained in terms of convergent series with easily computable components. The method is quite efficient and is practically well suited for use i...