Omid Solaymani Fard - School of Mathematics and Computer Science, Damghan University, Damghan, Iran
Ali Vahidian Kamyad - Department of Mathematics, Ferdowsi University of Mashhad, Mashhad, Iran

We are concerned with the development of a K−step method for the numerical solution of fuzzy initial value problems. Convergence and stability of the method are also proved in detail. Moreover, a specific method of order ۴ is found. The numerical results show that the proposed fourth order method is efficient for solving fuzzy differential equations.

Fuzzy numbers, Fuzzy differential equations, Modified k-step method