Analytic solutions of some partial differential equations by using homotopy perturbation method

Abstract

In this paper, we use the homotopy perturbation method (HPM) in order to find the analytic solutions of Clannish random walkers equation, three-dimensional nonlinear parabolic partial differential equation, molecular recombination problem and a in homogeneous coupled Burger's equation. The method does not need linearization or weak nonlinearity assumptions. In this scheme, solution is calculated in the form of a convergent power series with easily computable components. © IDOSI Publications, 2011.