A Third Order Runge-Kutta Method Based on Linear Combination Of Arithmetic Mean, Heronian Mean And Contra - Harmonic Mean For Hybrid Fuzzy Differential Equation

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Gethsi Sharmila . R, Evangelin Diana Rajakumari . P

Abstract

In this paper, the third order Runge-Kutta method based on Arithmetic mean, Heronian mean and Contra Harmonic mean are implant into one method called the third order Runge-Kutta method based on linear combination of Arithmetic mean, Heronian mean and Contra Harmonic mean is proposed to find the approximate solution of hybrid fuzzy differential equation. Here the numerical algorithm for the proposed method is given to solve the hybrid fuzzy initial value problem. The validity of the proposed method is tested through illustration. Tables and figures show that the proposed method is applicable for solving any real life problems, which are modelled into Hybrid fuzzy differential equations.

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