Fuzzy Initial Value Problem and Improved Runge Kutta method with Butcher’s Coefficients

Abstract

This paper intends to find the solution to Fuzzy initial value problems. Here a fourth-order Improved Runge-Kutta method is proposed to find the solution to the problem. Along with the Butcher’s table is also used. The find solutions are depicted in terms of fuzzy representation. The accuracy and efficiency of the proposed method are also checked by numerical examples. The proposed method is an extension of the existing methods.