He’s homotopy perturbation method: An effective tool for solving nonlinear integral and integro-differential equations

Abstract

In this paper, we conduct a comparative study among He’s homotopy perturbation method and three traditional methods for an analytic and approximate treatment of nonlinear integral and integro-differential equations. The proper implementation of He’s homotopy perturbation method can extremely minimize the size of work if compared to existing traditional techniques. The analysis is accompanied by examples that demonstrate the comparison, and shows the pertinent features of the homotopy perturbation technique.