A new approach to the trial function for Homotopy Perturbation Method for nonlinear problems

Abstract

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 approximateanalytical mathematical tool. By generalizing of the trial function, we obtain betterapproximate series solutions for the linear or nonlinear problems, and we minimize thecomputational work and the time by choosing trial function properly

Keywords

• Nonlinear differential equations, homotopy perturbation method, series solutions

A new approach to the trial function for Homotopy Perturbation Method for nonlinear problems

Abstract

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.

Keywords

• Nonlinear differential equations

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