NUMERICAL INVESTIGATION OF THE NONLINEAR FUZZY DIFFERENTIAL EQUATIONS USING HE’S HOMOTOPY PERTURBATION METHOD

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NUMERICAL INVESTIGATION OF THE NONLINEAR FUZZY DIFFERENTIAL EQUATIONS USING HE’S HOMOTOPY PERTURBATION METHOD

Abstract

In this paper, He’s Homotopy Perturbation Method (HHPM) [12] is used to study the nonlinear fuzzy differential equations (FDE). The results obtained using He’s Homotopy Perturbation Method and the methods taken from the literature [11] were compared with the exact solutions of the nonlinear fuzzy differential equations. It is found that the solution obtained using the He’s Homotopy Perturbation Method is closer to the exact solutions of the nonlinear fuzzy differential equations. Error calculations for discrete and exact solutions are presented in a graphical form to highlight the efficiency of this method.

Author

S. Sekar A. Sakthivel

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International Journal of Advanced
Science and Engineering Research

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