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Rafiq, A., Ahmed, M. and Hussain, S. (2008) A General Approach to Specific Second Order Ordinary Differential Equations Using Homotopy Perturbation Method. Physics Letters A, 372, 4973-4976.
https://doi.org/10.1016/j.physleta.2008.05.070

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.