An improved Runge-Kutta method for solving fuzzy differential equations under generalized differentiability
In this paper, a new Runge-Kutta method be presented which has the fifth order local truncation error with lower function evaluation in comparison with classical one's. Also we use the generalized derivative instead of Seikkala's derivative to illustrate the efficiency of this derivative....
| Main Authors: | , , , |
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| Format: | Conference or Workshop Item |
| Language: | English |
| Published: |
American Institute of Physics
2012
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| Online Access: | http://psasir.upm.edu.my/id/eprint/57511/ http://psasir.upm.edu.my/id/eprint/57511/1/An%20improved%20Runge-Kutta%20method%20for%20solving%20fuzzy%20differential%20equations%20under%20generalized%20differentiability.pdf |
| _version_ | 1848853387579228160 |
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| author | Ahmadian, Ali Suleiman, Mohamed Ismail, Fudziah Salahshour, Soheil |
| author_facet | Ahmadian, Ali Suleiman, Mohamed Ismail, Fudziah Salahshour, Soheil |
| author_sort | Ahmadian, Ali |
| building | UPM Institutional Repository |
| collection | Online Access |
| description | In this paper, a new Runge-Kutta method be presented which has the fifth order local truncation error with lower function evaluation in comparison with classical one's. Also we use the generalized derivative instead of Seikkala's derivative to illustrate the efficiency of this derivative. The method's applicability is illustrated by solving a linear first order fuzzy differential equation. |
| first_indexed | 2025-11-15T10:53:10Z |
| format | Conference or Workshop Item |
| id | upm-57511 |
| institution | Universiti Putra Malaysia |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-15T10:53:10Z |
| publishDate | 2012 |
| publisher | American Institute of Physics |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | upm-575112017-10-24T03:11:50Z http://psasir.upm.edu.my/id/eprint/57511/ An improved Runge-Kutta method for solving fuzzy differential equations under generalized differentiability Ahmadian, Ali Suleiman, Mohamed Ismail, Fudziah Salahshour, Soheil In this paper, a new Runge-Kutta method be presented which has the fifth order local truncation error with lower function evaluation in comparison with classical one's. Also we use the generalized derivative instead of Seikkala's derivative to illustrate the efficiency of this derivative. The method's applicability is illustrated by solving a linear first order fuzzy differential equation. American Institute of Physics 2012 Conference or Workshop Item PeerReviewed application/pdf en http://psasir.upm.edu.my/id/eprint/57511/1/An%20improved%20Runge-Kutta%20method%20for%20solving%20fuzzy%20differential%20equations%20under%20generalized%20differentiability.pdf Ahmadian, Ali and Suleiman, Mohamed and Ismail, Fudziah and Salahshour, Soheil (2012) An improved Runge-Kutta method for solving fuzzy differential equations under generalized differentiability. In: 2nd International Conference on Fundamental and Applied Sciences (ICFAS2012), 12-14 June 2012, Kuala Lumpur Convention Centre, Kuala Lumpur. (pp. 325-330). 10.1063/1.4757488 |
| spellingShingle | Ahmadian, Ali Suleiman, Mohamed Ismail, Fudziah Salahshour, Soheil An improved Runge-Kutta method for solving fuzzy differential equations under generalized differentiability |
| title | An improved Runge-Kutta method for solving fuzzy differential equations under generalized differentiability |
| title_full | An improved Runge-Kutta method for solving fuzzy differential equations under generalized differentiability |
| title_fullStr | An improved Runge-Kutta method for solving fuzzy differential equations under generalized differentiability |
| title_full_unstemmed | An improved Runge-Kutta method for solving fuzzy differential equations under generalized differentiability |
| title_short | An improved Runge-Kutta method for solving fuzzy differential equations under generalized differentiability |
| title_sort | improved runge-kutta method for solving fuzzy differential equations under generalized differentiability |
| url | http://psasir.upm.edu.my/id/eprint/57511/ http://psasir.upm.edu.my/id/eprint/57511/ http://psasir.upm.edu.my/id/eprint/57511/1/An%20improved%20Runge-Kutta%20method%20for%20solving%20fuzzy%20differential%20equations%20under%20generalized%20differentiability.pdf |