Approximate analytical solutions of reaction-diffusion equations with exponential source term: Homotopy perturbation method (HPM)

Abstract In this letter, the solutions of some nonlinear differential equations have been obtained by means of the homotopy perturbation method (HPM). Applications of the homotopy method to some nonlinear reaction–diffusion equations with exponential source term show rapid convergence of the sequence constructed by this method to the exact solutions.