Article A Comparative Study of He's Homotopy Perturbation Method for Determining Frequency-amplitude Relation of a Nonlinear Oscillator with Discontinuities was published on June 1, 2007 in the journal International Journal of Nonlinear Sciences and Numerical Simulation (volume 8, issue 2).

In this paper, we propose a powerful modification of the homotopy perturbation method that will accelerate the rapid convergence of series solution. The modified method is employed to solve the MHD boundary-layer equations. The viscous fluid is electrically conducting in the presence of a uniform applied magnetic field and the induced magnetic field is neglected for small magnetic Reynolds number. Similarity solutions of ordinary differential equation resulting from the momentum equation are obtained. Finally, some numerical comparisons among the new modified homotopy perturbation method, the standard homotopy perturbation, the Exact Solution and the Shooting method have been made, which manifest that the modified method is a very accurate and effective algorithm to solve the two-dimensional MHD viscous flow over a stretching sheet