A new modification of the homotopy perturbation method for linear and nonlinear operators

摘要

In this paper we present an efficient modification of the homotopy perturbation method that will facilitate the calculations. We then conduct a comparative study between the new modification and the homotopy perturbation method. Numerical illustrations are investigated to show the features of the technique. The modified method accelerates the rapid convergence of the series solution and reduces the size of work. The new modification introduces a promising tool for many linear and nonlinear problems.