Improvement of the homotopy perturbation method for solving nonlinear diffusion equations

In this paper, the homotopy perturbation method (HPM) is improved to solve nonlinear diffusion equations. Nonlinear diffusion equations are the most important equations in mathematical physics. By applying this improvement (IHPM), exact solutions are obtained for some important physical processes of power-law diffusivities. To illustrate the method, some examples are provided. The convergence of the method is also considered. The results show the efficiency and accuracy of the IHPM.

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