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

• 作者: Md. Mamun-Ur-Rashid Khan
• 来源期刊: 应用数学与应用物理(英文)
• 学科: 数学
• 关键词: HOMOTOPY Perturbation Method (HPM) Van Der POL DIFFERENTIAL Equation (VDPDE) Nonlinear DIFFERENTIAL Equations Analytic Solution Boundary Conditions
• 年，卷（期）: 2019,（1）
• 页码范围: 1-12
• 页数: 12页
• 分类号: O1

摘要

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.