Variational iteration method and homotopy perturbation method for nonlinear evolution equations

Application of He’s Homotopy Perturbation Method and Variational Iteration Method for Nonlinear Partial Integro-differential Equations

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...

Variational iteration method and homotopy perturbation method for fourth-order fractional integro-differential equations

Variational Iteration Method for Evolution Equations

In this paper, we apply the Variational Iteration Method (VIM) for solving evolution equations. The method proved to be fully compatible for the solution of such equations. The higher accuracy of the numerical results shows complete reliability and efficiency of the suggested algorithm. Several examples are given to re-confirm the reliability of the VIM.

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.

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...