Fourth order diagonally implicit multistep block method for solving fuzzy differential equations
A fourth order diagonally implicit multistep block method is introduced to approximate the solution of fuzzy differential equations (FDEs). The problem is interpreted by using Seikkala's derivative. This method approximates two points simultaneously in a block along the interval. The Lagrange i...
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Academic Publications
2016
|
| Online Access: | http://psasir.upm.edu.my/id/eprint/23233/ http://psasir.upm.edu.my/id/eprint/23233/1/Fourth%20order%20diagonally%20implicit%20multistep%20block%20method%20for%20solving%20fuzzy%20differential%20equations.pdf |
| _version_ | 1848844699729657856 |
|---|---|
| author | Ramli, Azizah Abdul Majid, Zanariah |
| author_facet | Ramli, Azizah Abdul Majid, Zanariah |
| author_sort | Ramli, Azizah |
| building | UPM Institutional Repository |
| collection | Online Access |
| description | A fourth order diagonally implicit multistep block method is introduced to approximate the solution of fuzzy differential equations (FDEs). The problem is interpreted by using Seikkala's derivative. This method approximates two points simultaneously in a block along the interval. The Lagrange interpolating polynomial is applied in the formation of the formulas. The stability and convergence of this method at each computation points are given. Numerical solutions of this method are compared with the Runge-Kutta method of order four (RK(4)). The numerical results are given to highlight the performance of the proposed method when solving FDEs. |
| first_indexed | 2025-11-15T08:35:05Z |
| format | Article |
| id | upm-23233 |
| institution | Universiti Putra Malaysia |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-15T08:35:05Z |
| publishDate | 2016 |
| publisher | Academic Publications |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | upm-232332016-06-10T09:06:16Z http://psasir.upm.edu.my/id/eprint/23233/ Fourth order diagonally implicit multistep block method for solving fuzzy differential equations Ramli, Azizah Abdul Majid, Zanariah A fourth order diagonally implicit multistep block method is introduced to approximate the solution of fuzzy differential equations (FDEs). The problem is interpreted by using Seikkala's derivative. This method approximates two points simultaneously in a block along the interval. The Lagrange interpolating polynomial is applied in the formation of the formulas. The stability and convergence of this method at each computation points are given. Numerical solutions of this method are compared with the Runge-Kutta method of order four (RK(4)). The numerical results are given to highlight the performance of the proposed method when solving FDEs. Academic Publications 2016 Article PeerReviewed application/pdf en http://psasir.upm.edu.my/id/eprint/23233/1/Fourth%20order%20diagonally%20implicit%20multistep%20block%20method%20for%20solving%20fuzzy%20differential%20equations.pdf Ramli, Azizah and Abdul Majid, Zanariah (2016) Fourth order diagonally implicit multistep block method for solving fuzzy differential equations. International Journal of Pure and Applied Mathematics, 107 (3). pp. 635-660. ISSN 1311-8080; ESSN: 1314-3395 http://www.ijpam.eu/contents/2016-107-3/12/index.html |
| spellingShingle | Ramli, Azizah Abdul Majid, Zanariah Fourth order diagonally implicit multistep block method for solving fuzzy differential equations |
| title | Fourth order diagonally implicit multistep block method for solving fuzzy differential equations |
| title_full | Fourth order diagonally implicit multistep block method for solving fuzzy differential equations |
| title_fullStr | Fourth order diagonally implicit multistep block method for solving fuzzy differential equations |
| title_full_unstemmed | Fourth order diagonally implicit multistep block method for solving fuzzy differential equations |
| title_short | Fourth order diagonally implicit multistep block method for solving fuzzy differential equations |
| title_sort | fourth order diagonally implicit multistep block method for solving fuzzy differential equations |
| url | http://psasir.upm.edu.my/id/eprint/23233/ http://psasir.upm.edu.my/id/eprint/23233/ http://psasir.upm.edu.my/id/eprint/23233/1/Fourth%20order%20diagonally%20implicit%20multistep%20block%20method%20for%20solving%20fuzzy%20differential%20equations.pdf |