Article citationsMore>>

Chowdhury, M.S.H. and Hashim, I. (2009) Solutions of Emden-Fowler Equations by Homotopy Perturbation Method. Nonlinear Analysis: Real World Applications, 10, 104-115.
https://doi.org/10.1016/j.nonrwa.2007.08.017

has been cited by the following article:

• TITLE: Analytical Solution of Van Der Pol’s Differential Equation Using Homotopy Perturbation Method

  AUTHORS: Md. Mamun-Ur-Rashid Khan

  KEYWORDS: Homotopy Perturbation Method (HPM), Van Der Pol Differential Equation (VDPDE), Nonlinear Differential Equations, Analytic Solution, Boundary Conditions

  JOURNAL NAME: Journal of Applied Mathematics and Physics, Vol.7 No.1, January 7, 2019

  ABSTRACT: In this research work, Homotopy perturbation method (HPM) is applied to find the approximate solution of the Van der Pol Differential equation (VDPDE), which is a well-known nonlinear ODE. Firstly, the approximate solution of Van Der Pol equation is developed using Dirichlet boundary conditions. Then a comparison between the present results and previously published results is presented and a good agreement is observed. Finally, HPM method is applied to find the approximate solution of VDPDE with Robin and Neumann boundary conditions.