An implicit multistep block method for fuzzy differential equations
A 2-point diagonally implicit multistep block method of order five is proposed. It is implemented to find the approximation for first-order fuzzy differential equations (FDEs) under on Seikkala derivative. This block method operates by approximating two points at yn+1 and yn+2 concurrently in a step...
| Main Authors: | , |
|---|---|
| Format: | Conference or Workshop Item |
| Language: | English |
| Published: |
IEEE
2015
|
| Online Access: | http://psasir.upm.edu.my/id/eprint/51890/1/An%20implicit%20multistep%20block%20method%20for%20fuzzy%20differential%20equations.pdf |
| _version_ | 1796975629719044096 |
|---|---|
| author | Ramli, Azizah Abdul Majid, Zanariah |
| author_facet | Ramli, Azizah Abdul Majid, Zanariah |
| author_sort | Ramli, Azizah |
| collection | UPM |
| description | A 2-point diagonally implicit multistep block method of order five is proposed. It is implemented to find the approximation for first-order fuzzy differential equations (FDEs) under on Seikkala derivative. This block method operates by approximating two points at yn+1 and yn+2 concurrently in a step. Both formulas are derived by using Lagrange interpolating polynomial. The method is generated by combining the predictor and corrector formulas in the PE(CE)m mode, where m is the number of iteration. The performances of the method are illustrated by solving problem and the numerical findings are compared with the existing method. |
| first_indexed | 2024-03-06T09:14:17Z |
| format | Conference or Workshop Item |
| id | upm.eprints-51890 |
| institution | Universiti Putra Malaysia |
| language | English |
| last_indexed | 2024-03-06T09:14:17Z |
| publishDate | 2015 |
| publisher | IEEE |
| record_format | dspace |
| spelling | upm.eprints-518902017-05-03T04:09:03Z http://psasir.upm.edu.my/id/eprint/51890/ An implicit multistep block method for fuzzy differential equations Ramli, Azizah Abdul Majid, Zanariah A 2-point diagonally implicit multistep block method of order five is proposed. It is implemented to find the approximation for first-order fuzzy differential equations (FDEs) under on Seikkala derivative. This block method operates by approximating two points at yn+1 and yn+2 concurrently in a step. Both formulas are derived by using Lagrange interpolating polynomial. The method is generated by combining the predictor and corrector formulas in the PE(CE)m mode, where m is the number of iteration. The performances of the method are illustrated by solving problem and the numerical findings are compared with the existing method. IEEE 2015 Conference or Workshop Item PeerReviewed application/pdf en http://psasir.upm.edu.my/id/eprint/51890/1/An%20implicit%20multistep%20block%20method%20for%20fuzzy%20differential%20equations.pdf Ramli, Azizah and Abdul Majid, Zanariah (2015) An implicit multistep block method for fuzzy differential equations. In: 7th International Conference on Research and Education in Mathematics (ICREM7), 25-27 Aug. 2015, Renaissance Kuala Lumpur Hotel, Malaysia. (pp. 81-87). http://ieeexplore.ieee.org/document/7357031/ 10.1109/ICREM.2015.7357031 |
| spellingShingle | Ramli, Azizah Abdul Majid, Zanariah An implicit multistep block method for fuzzy differential equations |
| title | An implicit multistep block method for fuzzy differential equations |
| title_full | An implicit multistep block method for fuzzy differential equations |
| title_fullStr | An implicit multistep block method for fuzzy differential equations |
| title_full_unstemmed | An implicit multistep block method for fuzzy differential equations |
| title_short | An implicit multistep block method for fuzzy differential equations |
| title_sort | implicit multistep block method for fuzzy differential equations |
| url | http://psasir.upm.edu.my/id/eprint/51890/1/An%20implicit%20multistep%20block%20method%20for%20fuzzy%20differential%20equations.pdf |
| work_keys_str_mv | AT ramliazizah animplicitmultistepblockmethodforfuzzydifferentialequations AT abdulmajidzanariah animplicitmultistepblockmethodforfuzzydifferentialequations AT ramliazizah implicitmultistepblockmethodforfuzzydifferentialequations AT abdulmajidzanariah implicitmultistepblockmethodforfuzzydifferentialequations |