Homotopy Perturbation Method Using He’s Polynomial for Solving Nonlinear Differential Equations

In this paper, for solving nonlinear equations a combined form of the Laplace transform method along with the Homotopy perturbation method is used. This method is called the Homotopy perturbation transform method (HPTM). He’s polynomials can be used to handle the nonlinear terms easily. This method avoids the round-off errors and finds the solution without any discretization or restrictive assumptions. Proposed method solves nonlinear problems without using Adomian’s polynomials can be thought as a vibrant advantage of this algorithm over the decomposition method.