Block backward differentiation formulas for solving fuzzy differential equations under generalized differentiability
In this paper, the fully implicit 2-point block backward differentiation formula and diagonally implicit 2-point block backward differentiation formula were developed under the interpretation of generalized differentiability concept for solving first order fuzzy differential equations. Some fuzzy in...
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| Format: | Article |
| Language: | English |
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Penerbit Universiti Kebangsaan Malaysia
2016
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| Online Access: | http://psasir.upm.edu.my/id/eprint/55215/ http://psasir.upm.edu.my/id/eprint/55215/1/Block%20backward%20differentiation%20formulas%20for%20solving%20fuzzy%20differential%20equations%20under%20generalized%20differentiability.pdf |
| _version_ | 1848852744469741568 |
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| author | Mohd Zawawi, Iskandar Shah Ibrahim, Zarina Bibi |
| author_facet | Mohd Zawawi, Iskandar Shah Ibrahim, Zarina Bibi |
| author_sort | Mohd Zawawi, Iskandar Shah |
| building | UPM Institutional Repository |
| collection | Online Access |
| description | In this paper, the fully implicit 2-point block backward differentiation formula and diagonally implicit 2-point block backward differentiation formula were developed under the interpretation of generalized differentiability concept for solving first order fuzzy differential equations. Some fuzzy initial value problems were tested in order to demonstrate the performance of the developed methods. The approximated solutions for both methods were in good agreement with the exact solutions. The numerical results showed that the diagonally implicit method outperforms the fully implicit method in term of accuracy. |
| first_indexed | 2025-11-15T10:42:57Z |
| format | Article |
| id | upm-55215 |
| institution | Universiti Putra Malaysia |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-15T10:42:57Z |
| publishDate | 2016 |
| publisher | Penerbit Universiti Kebangsaan Malaysia |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | upm-552152017-11-29T07:27:11Z http://psasir.upm.edu.my/id/eprint/55215/ Block backward differentiation formulas for solving fuzzy differential equations under generalized differentiability Mohd Zawawi, Iskandar Shah Ibrahim, Zarina Bibi In this paper, the fully implicit 2-point block backward differentiation formula and diagonally implicit 2-point block backward differentiation formula were developed under the interpretation of generalized differentiability concept for solving first order fuzzy differential equations. Some fuzzy initial value problems were tested in order to demonstrate the performance of the developed methods. The approximated solutions for both methods were in good agreement with the exact solutions. The numerical results showed that the diagonally implicit method outperforms the fully implicit method in term of accuracy. Penerbit Universiti Kebangsaan Malaysia 2016 Article PeerReviewed application/pdf en http://psasir.upm.edu.my/id/eprint/55215/1/Block%20backward%20differentiation%20formulas%20for%20solving%20fuzzy%20differential%20equations%20under%20generalized%20differentiability.pdf Mohd Zawawi, Iskandar Shah and Ibrahim, Zarina Bibi (2016) Block backward differentiation formulas for solving fuzzy differential equations under generalized differentiability. Sains Malaysiana, 45 (6). pp. 989-998. ISSN 0126-6039 http://pkukmweb.ukm.my/~jsm/ |
| spellingShingle | Mohd Zawawi, Iskandar Shah Ibrahim, Zarina Bibi Block backward differentiation formulas for solving fuzzy differential equations under generalized differentiability |
| title | Block backward differentiation formulas for solving fuzzy differential equations under generalized differentiability |
| title_full | Block backward differentiation formulas for solving fuzzy differential equations under generalized differentiability |
| title_fullStr | Block backward differentiation formulas for solving fuzzy differential equations under generalized differentiability |
| title_full_unstemmed | Block backward differentiation formulas for solving fuzzy differential equations under generalized differentiability |
| title_short | Block backward differentiation formulas for solving fuzzy differential equations under generalized differentiability |
| title_sort | block backward differentiation formulas for solving fuzzy differential equations under generalized differentiability |
| url | http://psasir.upm.edu.my/id/eprint/55215/ http://psasir.upm.edu.my/id/eprint/55215/ http://psasir.upm.edu.my/id/eprint/55215/1/Block%20backward%20differentiation%20formulas%20for%20solving%20fuzzy%20differential%20equations%20under%20generalized%20differentiability.pdf |