Numerical Solution Of Fuzzy Differential Equations By Runge-kutta Method

How to solve numerical solution of fuzzy differential equations is always an issue in studying all over years. Because it plays an important role in the field of physical, statistical, civil engineering, architecture, biology, social sciences and other academic. The paper mainly research using runge kutta method to solve great significance, and it introduces the research of fuzzy differential equations and some related knowledge background of the fuzzy space.In the third chapter, I use the concept of gereralized differential and gereral characterization theorem to find the numerical solution of six order runge kutta method, and then I use six order runge kutta method to analysis error and get its uniform convergence. comparing it with ordinary Euler method, the conclution is that it has better accuracy.In the fourth chapter, through using five order runge kutta method to solve numerical solution of second order fuzzy differential equations and analysis method, I prove that the method can ensure its convergence. At last, I compare it with six order runge kutta method examples, and through numerical analysis, I get the conclution : the method has certain feasibility.