Optimal homotopy perturbation method for solving a nonlinear problem in elasticity Available to Purchase

In this paper we present an analytical method - the Optimal Homotopy Perturbation Method (OHPM), and we apply it to find approximate solutions for a nonlinear problem related to the stress and deformation states of a thin elastic plate. OHPM combines the features of the homotopy approach with an efficient computational algorithm which provides a convenient way to control the convergence of the approximation series. The comparison of the results obtained by OHPM with results obtained by numerical integration show a very good agreement proving the effectiveness and accuracy of the method.