# Modified fourth order runge-kutta method for solving fuzzy differential equations

Research output: Contribution to journalArticle

### Abstract

In this paper, a modified fourth order Runge-Kutta method is applied for solving fuzzy differential equations based on generalized Hukuhara differentiability. This study explores the explicit methods which are modified to solve fuzzy differential equations. Numerical examples are given to illustrate the accuracy of the method. Results obtained are compared with the results from existing method and it shows that the proposed method gives the better results. We conclude that the proposed method works well for solving fuzzy differential equations.

Original language English 2299-2315 17 Far East Journal of Mathematical Sciences 101 10 https://doi.org/10.17654/MS101102299 Published - 2017

### Fingerprint

Fuzzy Differential Equations
Runge-Kutta Methods
Fourth Order
Explicit Methods
Differentiability
Numerical Examples

### Keywords

• Fuzzy differential equations
• Hukuhara differentiability
• Modified fourth order Runge-Kutta method

### ASJC Scopus subject areas

• Mathematics(all)

### Cite this

In: Far East Journal of Mathematical Sciences, Vol. 101, No. 10, 2017, p. 2299-2315.

Research output: Contribution to journalArticle

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