Numerical solution of n’th order fuzzy initial value problems by six stages
The purpose of this paper is to present a numerical approach to solve fuzzy initial value problems (FIVPs) involving n-th order ordinary differential equations.The idea is based on the formulation of the six stages Runge-Kutta method of order five (RKM56) from crisp environment to fuzzy environment...
Saved in:
Main Authors: | , , , , |
---|---|
Format: | Article |
Language: | English |
Published: |
JNSA
2016
|
Subjects: | |
Online Access: | http://repo.uum.edu.my/18356/1/JNSA%209%20%202016%20627%E2%80%93640.pdf http://repo.uum.edu.my/18356/ http://www.tjnsa.com/index.php?volume=9&issue=40&page=4 |
Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
id |
my.uum.repo.18356 |
---|---|
record_format |
eprints |
spelling |
my.uum.repo.183562016-06-28T06:29:00Z http://repo.uum.edu.my/18356/ Numerical solution of n’th order fuzzy initial value problems by six stages Jameela, Ali Anakira, N. R. Alomari, A. K. Hashim, Ishak Shakhatreh, M. A. QA Mathematics The purpose of this paper is to present a numerical approach to solve fuzzy initial value problems (FIVPs) involving n-th order ordinary differential equations.The idea is based on the formulation of the six stages Runge-Kutta method of order five (RKM56) from crisp environment to fuzzy environment followed by the stability definitions and the convergence proof.It is shown that the n-th order FIVP can be solved by RKM56 by transforming the original problem into a system of first-order FIVPs. The results indicate that the method is very effective and simple to apply.An efficient procedure is proposed of RKM56 on the basis of the principles and definitions of fuzzy sets theory and the capability of the method is illustrated by solving second-order linear FIVP involving a circuit model problem. JNSA 2016 Article PeerReviewed application/pdf en http://repo.uum.edu.my/18356/1/JNSA%209%20%202016%20627%E2%80%93640.pdf Jameela, Ali and Anakira, N. R. and Alomari, A. K. and Hashim, Ishak and Shakhatreh, M. A. (2016) Numerical solution of n’th order fuzzy initial value problems by six stages. Journal of Nonlinear Science Applications, 9 (2). pp. 627-640. ISSN 2008-1898 http://www.tjnsa.com/index.php?volume=9&issue=40&page=4 |
institution |
Universiti Utara Malaysia |
building |
UUM Library |
collection |
Institutional Repository |
continent |
Asia |
country |
Malaysia |
content_provider |
Universiti Utara Malaysia |
content_source |
UUM Institutionali Repository |
url_provider |
http://repo.uum.edu.my/ |
language |
English |
topic |
QA Mathematics |
spellingShingle |
QA Mathematics Jameela, Ali Anakira, N. R. Alomari, A. K. Hashim, Ishak Shakhatreh, M. A. Numerical solution of n’th order fuzzy initial value problems by six stages |
description |
The purpose of this paper is to present a numerical approach to solve fuzzy initial value problems (FIVPs) involving n-th order ordinary differential equations.The idea is based on the formulation of the six stages Runge-Kutta method of order five (RKM56) from crisp environment to fuzzy environment followed by the stability definitions and the convergence proof.It is shown that the n-th order FIVP can be solved by RKM56 by transforming the original problem into a system of first-order FIVPs. The results indicate that the method is very effective and simple to apply.An efficient procedure is proposed of RKM56 on the basis of the principles and definitions of fuzzy sets theory and the capability of the method is illustrated by solving second-order linear FIVP involving a circuit model problem. |
format |
Article |
author |
Jameela, Ali Anakira, N. R. Alomari, A. K. Hashim, Ishak Shakhatreh, M. A. |
author_facet |
Jameela, Ali Anakira, N. R. Alomari, A. K. Hashim, Ishak Shakhatreh, M. A. |
author_sort |
Jameela, Ali |
title |
Numerical solution of n’th order fuzzy initial value problems by six stages |
title_short |
Numerical solution of n’th order fuzzy initial value problems by six stages |
title_full |
Numerical solution of n’th order fuzzy initial value problems by six stages |
title_fullStr |
Numerical solution of n’th order fuzzy initial value problems by six stages |
title_full_unstemmed |
Numerical solution of n’th order fuzzy initial value problems by six stages |
title_sort |
numerical solution of n’th order fuzzy initial value problems by six stages |
publisher |
JNSA |
publishDate |
2016 |
url |
http://repo.uum.edu.my/18356/1/JNSA%209%20%202016%20627%E2%80%93640.pdf http://repo.uum.edu.my/18356/ http://www.tjnsa.com/index.php?volume=9&issue=40&page=4 |
_version_ |
1644282439847116800 |
score |
13.18916 |