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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| Format: | Article |
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Global Science and Technology Forum
2014
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| _version_ | 1825948498293424128 |
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| author | Rabiei, Faranak Ismail, Fudziah |
| author_facet | Rabiei, Faranak Ismail, Fudziah |
| author_sort | Rabiei, Faranak |
| collection | UPM |
| 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.
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| first_indexed | 2024-03-06T08:29:44Z |
| format | Article |
| id | upm.eprints-34685 |
| institution | Universiti Putra Malaysia |
| last_indexed | 2024-03-06T08:29:44Z |
| publishDate | 2014 |
| publisher | Global Science and Technology Forum |
| record_format | dspace |
| spelling | 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 |
| spellingShingle | Rabiei, Faranak Ismail, Fudziah Numerical solution of fuzzy differential equation using improved Runge-Kutta method |
| title | 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_short | Numerical solution of fuzzy differential equation using improved Runge-Kutta method |
| title_sort | numerical solution of fuzzy differential equation using improved runge kutta method |
| work_keys_str_mv | AT rabieifaranak numericalsolutionoffuzzydifferentialequationusingimprovedrungekuttamethod AT ismailfudziah numericalsolutionoffuzzydifferentialequationusingimprovedrungekuttamethod |