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Numerical solution of fuzzy differential equation using improved Runge-Kutta method

In this paper a fuzzy Improved Runge-Kutta method for solving first-order fuzzy differential equations is proposed. The scheme is two step in nature and is based on the Improved Runge-kutta method for solving ordinary differential equations. Here, the fourth order method with three stages is expla...

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Main Authors: Rabiei, Faranak, Ismail, Fudziah
Format: Article
Published: Global Science and Technology Forum 2014
Online Access:http://psasir.upm.edu.my/id/eprint/34685/
http://dl6.globalstf.org/index.php/jmsor/article/view/1039
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spelling my.upm.eprints.346852015-12-18T01:36:45Z http://psasir.upm.edu.my/id/eprint/34685/ Numerical solution of fuzzy differential equation using improved Runge-Kutta method Rabiei, Faranak Ismail, Fudziah In this paper a fuzzy Improved Runge-Kutta method for solving first-order fuzzy differential equations is proposed. The scheme is two step in nature and is based on the Improved Runge-kutta method for solving ordinary differential equations. Here, the fourth order method with three stages is explained. In this method some new parameter be exploited to increase the accuracy in comparison with other same stage existing methods. The convergence of the method is proven, and several numerical examples are experienced to illustrate the effectiveness of the method. Global Science and Technology Forum 2014 Article PeerReviewed Rabiei, Faranak and Ismail, Fudziah (2014) Numerical solution of fuzzy differential equation using improved Runge-Kutta method. Journal of Mathematics, Statistics and Operations Research, 2 (2). pp. 78-83. ISSN 2251-3388; ESSN: 2251-3396 http://dl6.globalstf.org/index.php/jmsor/article/view/1039 10.5176/2251-3388_2.2.55
institution Universiti Putra Malaysia
building UPM Library
collection Institutional Repository
continent Asia
country Malaysia
content_provider Universiti Putra Malaysia
content_source UPM Institutional Repository
url_provider http://psasir.upm.edu.my/
description In this paper a fuzzy Improved Runge-Kutta method for solving first-order fuzzy differential equations is proposed. The scheme is two step in nature and is based on the Improved Runge-kutta method for solving ordinary differential equations. Here, the fourth order method with three stages is explained. In this method some new parameter be exploited to increase the accuracy in comparison with other same stage existing methods. The convergence of the method is proven, and several numerical examples are experienced to illustrate the effectiveness of the method.
format Article
author Rabiei, Faranak
Ismail, Fudziah
spellingShingle Rabiei, Faranak
Ismail, Fudziah
Numerical solution of fuzzy differential equation using improved Runge-Kutta method
author_facet Rabiei, Faranak
Ismail, Fudziah
author_sort Rabiei, Faranak
title Numerical solution of fuzzy differential equation using improved Runge-Kutta method
title_short Numerical solution of fuzzy differential equation using improved Runge-Kutta method
title_full Numerical solution of fuzzy differential equation using improved Runge-Kutta method
title_fullStr Numerical solution of fuzzy differential equation using improved Runge-Kutta method
title_full_unstemmed Numerical solution of fuzzy differential equation using improved Runge-Kutta method
title_sort numerical solution of fuzzy differential equation using improved runge-kutta method
publisher Global Science and Technology Forum
publishDate 2014
url http://psasir.upm.edu.my/id/eprint/34685/
http://dl6.globalstf.org/index.php/jmsor/article/view/1039
_version_ 1643831227971534848
score 13.251813

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