ON NUMERICALLY SOLVING FIRST-ORDER FUZZY DIFFERENTIAL EQUATIONS BY THE THIRD ORDER RUNGE-KUTTA METHOD BASED ON LINEAR COMBINATION OF VARIOUS KINDS OF MEANS

ABSTRACT Using the RK Method of Order Three, which is based on the combination of various types of means in pair such as Geometric Mean, Harmonic Mean, and Heronian Mean in a linear form, an attempt has been made in this work to discover a numerical solution for fuzzy differential equations of the first order. This methodology was used in order to accomplish this goal. Through the use of the γ-cut of triangular fuzzy numbers, the objective of this study is to find a solution to the first-order fuzzy initial value problem. Doing this test proves that the proposed method is both accurate and efficient. Keywords: Fuzzy Initial Value Problem, Runge – Kutta Method, Triangular Fuzzy Number, Geometric Mean, Heronian Mean, Harmonic Mean