HOMOTOPY PERTURBATION METHOD TO SOLVE DUFFING-VAN DER POL EQUATION
Bagayogo Moussa, MINOUNGOU Youssouf, NEBIE Abdoul Wassiha, PARE Youssouf
Abstract
In this paper, the Homotopy Perturbation Method (HPM) and the Regular Perturbation Method (RPM) are used to study Duffing-Van der Pol equation. Then we compare the solutions obtained by these two methods.
Topics & Concepts
Van der Pol oscillatorHomotopy analysis methodMathematicsHomotopy perturbation methodMathematical analysisDuffing equationPerturbation (astronomy)HomotopyMathematical physicsPhysicsPure mathematicsNonlinear systemQuantum mechanicsFractional Differential Equations SolutionsIterative Methods for Nonlinear Equations