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.