A new approach to the trial function for homotopy perturbation method for nonlinear problems

In this paper, we give a new approach to the trial function for Homotopy Perturbation Method (HPM) which is powerful, easy-to-use and effective approximate analytical mathematical tool. By generalizing of the trial function, we obtain better approximate series solutions for the linear or nonlinear problems, and we minimize the computational work and the time by choosing trial function properly.

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Nonlinear differential equations ,

homotopy perturbation method ,

series solutions ,