Numerical Solution of NTH - Order Fuzzy Initial Value Problems by Fourth Order Runge-Kutta Method Basesd On Contrahamonic Mean

Abstract

In this paper, a numerical method for Nth - order fuzzy initial value problems (FIVP) based on Seikkala derivative of fuzzy process is studied. The fourth order Runge-Kutta method based on Contra-harmonic Mean (RKCoM4) is used to find the numerical solution of this problem and the convergence and stability of the method is proved. This method is illustrated by solving second and third order FIVPs. The results show that the proposed method suits well to find the numerical solution of Nth - order FIVPs.