Diagonally implicit block backward differentiation formulas for solving fuzzy differential equations
In this work, the diagonally implicit 2-points block backward differentiation formulas (DIBBDF) is developed for solving Fuzzy Differential Equations (FDEs) under the interpretation of generalized Hukuhara differentiability. The fuzzy configuration of this method is also introduced. Numerical result...
| Main Authors: | , , |
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| Format: | Conference or Workshop Item |
| Language: | English |
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AIP Publishing LLC
2012
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| Online Access: | http://psasir.upm.edu.my/id/eprint/57309/ http://psasir.upm.edu.my/id/eprint/57309/1/Diagonally%20implicit%20block%20backward%20differentiation%20formulas%20for%20solving%20fuzzy%20differential%20equations.pdf |
| _version_ | 1848853329216536576 |
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| author | Mohd Zawawi, Iskandar Shah Ibrahim, Zarina Bibi Suleiman, Mohamed |
| author_facet | Mohd Zawawi, Iskandar Shah Ibrahim, Zarina Bibi Suleiman, Mohamed |
| author_sort | Mohd Zawawi, Iskandar Shah |
| building | UPM Institutional Repository |
| collection | Online Access |
| description | In this work, the diagonally implicit 2-points block backward differentiation formulas (DIBBDF) is developed for solving Fuzzy Differential Equations (FDEs) under the interpretation of generalized Hukuhara differentiability. The fuzzy configuration of this method is also introduced. Numerical results using DIBBDF are presented and compared with the existing method. It is clearly shown that the proposed method obtains good numerical results and suitable for solving FDEs. |
| first_indexed | 2025-11-15T10:52:14Z |
| format | Conference or Workshop Item |
| id | upm-57309 |
| institution | Universiti Putra Malaysia |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-15T10:52:14Z |
| publishDate | 2012 |
| publisher | AIP Publishing LLC |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | upm-573092017-09-26T04:02:40Z http://psasir.upm.edu.my/id/eprint/57309/ Diagonally implicit block backward differentiation formulas for solving fuzzy differential equations Mohd Zawawi, Iskandar Shah Ibrahim, Zarina Bibi Suleiman, Mohamed In this work, the diagonally implicit 2-points block backward differentiation formulas (DIBBDF) is developed for solving Fuzzy Differential Equations (FDEs) under the interpretation of generalized Hukuhara differentiability. The fuzzy configuration of this method is also introduced. Numerical results using DIBBDF are presented and compared with the existing method. It is clearly shown that the proposed method obtains good numerical results and suitable for solving FDEs. AIP Publishing LLC 2012 Conference or Workshop Item PeerReviewed application/pdf en http://psasir.upm.edu.my/id/eprint/57309/1/Diagonally%20implicit%20block%20backward%20differentiation%20formulas%20for%20solving%20fuzzy%20differential%20equations.pdf Mohd Zawawi, Iskandar Shah and Ibrahim, Zarina Bibi and Suleiman, Mohamed (2012) Diagonally implicit block backward differentiation formulas for solving fuzzy differential equations. In: 20th National Symposium on Mathematical Sciences (SKSM20), 18-20 Dec. 2012, Palm Garden Hotel, Putrajaya, Malaysia. (pp. 681-687). 10.1063/1.4801191 |
| spellingShingle | Mohd Zawawi, Iskandar Shah Ibrahim, Zarina Bibi Suleiman, Mohamed Diagonally implicit block backward differentiation formulas for solving fuzzy differential equations |
| title | Diagonally implicit block backward differentiation formulas for solving fuzzy differential equations |
| title_full | Diagonally implicit block backward differentiation formulas for solving fuzzy differential equations |
| title_fullStr | Diagonally implicit block backward differentiation formulas for solving fuzzy differential equations |
| title_full_unstemmed | Diagonally implicit block backward differentiation formulas for solving fuzzy differential equations |
| title_short | Diagonally implicit block backward differentiation formulas for solving fuzzy differential equations |
| title_sort | diagonally implicit block backward differentiation formulas for solving fuzzy differential equations |
| url | http://psasir.upm.edu.my/id/eprint/57309/ http://psasir.upm.edu.my/id/eprint/57309/ http://psasir.upm.edu.my/id/eprint/57309/1/Diagonally%20implicit%20block%20backward%20differentiation%20formulas%20for%20solving%20fuzzy%20differential%20equations.pdf |