Numerical algorithm for solving second order nonlinear fuzzy initial value problems

The goal of this study is to present a numerical technique to obtain a numerical solution of second order nonlinear fuzzy initial value problems (FIVPs) involving order ordinary differential equations. The idea is based on the reformulation of the fifth order Runge Kutta with six stages (RK56) from crisp domain to the fuzzy domainby using the definitions and properties of fuzzy set theory to be suitable to solve second order nonlinear FIVP numerically. It is shown that the second order nonlinear FIVP can be solved by RK56 by reducing the original nonlinear equation intoa system of couple first order nonlinear FIVP and the results indicate that the method is very effective and simple to apply and satisfy the properties of the fuzzy solution.The capability of the method is illustrated by solving second order nonlinear FIVP.