Application of Homotopy Perturbation Method to the Time-fractional Equationof Heat Transport in Complex Human Tissues

The homotopy perturbation method is extended to solve time fractional partial differential Pennes equation. In combination with difference method, the third order approximate solutions are obtained at ease. The numerical solutions of the Pennes equation under some values of the fractional order are given. The results show that HPM method with difference method is of high accuracy and easy computation.