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

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Evangelin Diana Rajakumari . P , Gethsi Sharmila . R

Abstract

In this paper, the three methods namely the third order Runge-Kutta method based on Arithmetic mean, Harmonic mean and Heronian mean are embedded into one method which is called as the third order Runge-Kutta method based on linear combination of Arithmetic mean, Harmonic mean and Heronian mean is proposed to find the approximate solution of hybrid fuzzy differential equation. Here the numerical algorithm using the proposed method is given for solving hybrid fuzzy initial value problem. The effectiveness of the proposed method is tested through illustration. The solutions are given in tables and figures which shows that the proposed method is suitable for solving any real life problems which are modelled into Hybrid fuzzy differential equations.

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