Next Article in Journal
On the Theory of Generalized Ballistical Problem for Nonlinear Abstract Differential Equations
Previous Article in Journal
D2 +Nin(T), n=7 and 9, Collision System
Article Menu

Article Versions

Export Article

Open AccessArticle
Math. Comput. Appl. 2011, 16(4), 935-946; doi:10.3390/mca16040935

Numerical Solution of N-Order Fuzzy Differential Equations by Runge-Kutta Method

Department of Mathematics, Science and Research Branch, Islamic Azad University, Tehran 14515/775, Iran
*
Author to whom correspondence should be addressed.
Published: 1 December 2011
Download PDF [154 KB, uploaded 1 April 2016]

Abstract

In this paper we study a numerical method for n-th order fuzzy differential equations based on Seikkala derivative with initial value conditions. The Runge-Kutta method is used for the numerical solution of this problem and the convergence and stability of the method is proved. By this method, we can obtain strong fuzzy solution. This method is illustrated by solving some examples.
Keywords: Fuzzy numbers, n-th order fuzzy differential equations, Runge-Kutta method, Lipschitz condition Fuzzy numbers, n-th order fuzzy differential equations, Runge-Kutta method, Lipschitz condition
This is an open access article distributed under the Creative Commons Attribution License (CC BY 3.0).

Scifeed alert for new publications

Never miss any articles matching your research from any publisher
  • Get alerts for new papers matching your research
  • Find out the new papers from selected authors
  • Updated daily for 49'000+ journals and 6000+ publishers
  • Define your Scifeed now

SciFeed Share & Cite This Article

MDPI and ACS Style

Abbasbandy, S.; Allahviranloo, T.; Darabi, P. Numerical Solution of N-Order Fuzzy Differential Equations by Runge-Kutta Method. Math. Comput. Appl. 2011, 16, 935-946.

Show more citation formats Show less citations formats

Article Metrics

Article Access Statistics

1

Comments

[Return to top]
Math. Comput. Appl. EISSN 2297-8747 Published by MDPI AG, Basel, Switzerland RSS E-Mail Table of Contents Alert
Back to Top