Solving Fuzzy Differential Equations by Runge-kutta Method
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Authors
Z. Akbarzadeh Ghanaie
- Mathematics Department, Kerman University and Young Research’s Society of Shahid Bahonar University of Kerman, Kerman, Iran
M. Mohseni Moghadam
- Center of Excellence of Linear Algebra and Optimization, Shahid Bahonar University of Kerman, Kerman, Iran
Abstract
In this paper, we interpret a fuzzy differential equation (FDE) by using the strongly generalized differentiability concept. Then we show that by this concept any FDE can be transformed to a system of ordinary differential equations (ODEs). Next by solving the associate ODEs we will find two solutions for FDE. Here we express the generalized Runge-Kutta approximation method of order two and analyze its error. Finally one example in the nuclear decay equation show the rich behavior of the method.
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ISRP Style
Z. Akbarzadeh Ghanaie, M. Mohseni Moghadam, Solving Fuzzy Differential Equations by Runge-kutta Method, Journal of Mathematics and Computer Science, 2 (2011), no. 2, 208--221
AMA Style
Akbarzadeh Ghanaie Z., Mohseni Moghadam M., Solving Fuzzy Differential Equations by Runge-kutta Method. J Math Comput SCI-JM. (2011); 2(2):208--221
Chicago/Turabian Style
Akbarzadeh Ghanaie, Z., Mohseni Moghadam, M.. "Solving Fuzzy Differential Equations by Runge-kutta Method." Journal of Mathematics and Computer Science, 2, no. 2 (2011): 208--221
Keywords
- fuzzy differential equation
- generalized differentiability
- generalized Runge-Kutta method.
MSC
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