Application of Homotopy Perturbation Method in Solving Fractional Cahn-Allen Equation

In this paper, by using homotopy perturbation method (HPM), we obtain the third-order approximate solutions in time and second-order approximate solutions in space for the fractional Cahn-Allen equation under the initial conditions. At the same time, the approximate solution and the exact solution are compared and analyzed by using Maple software. It shows that HPM is effective for solving fractional Cahn-Allen equation, and the method has the advantages of high precision and less computation.