Author(s)

Md. Mamun-Ur-Rashid Khan

Department of Mathematics, University of Dhaka, Dhaka, Bangladesh.

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.

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

Khan, M. (2019) Analytical Solution of Van Der Pol’s Differential Equation Using Homotopy Perturbation Method. Journal of Applied Mathematics and Physics, 7, 1-12. doi: 10.4236/jamp.2019.71001.