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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| フォーマット: | 論文 |
| 言語: | English |
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Penerbit Universiti Kebangsaan Malaysia
2016
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| オンライン･アクセス: | http://psasir.upm.edu.my/id/eprint/55215/1/Block%20backward%20differentiation%20formulas%20for%20solving%20fuzzy%20differential%20equations%20under%20generalized%20differentiability.pdf http://psasir.upm.edu.my/id/eprint/55215/ http://pkukmweb.ukm.my/~jsm/ |
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my.upm.eprints.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/ |
| institution |
Universiti Putra Malaysia |
| building |
UPM Library |
| collection |
Institutional Repository |
| continent |
Asia |
| country |
Malaysia |
| content_provider |
Universiti Putra Malaysia |
| content_source |
UPM Institutional Repository |
| url_provider |
http://psasir.upm.edu.my/ |
| language |
English |
| 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. |
| format |
Article |
| author |
Mohd Zawawi, Iskandar Shah Ibrahim, Zarina Bibi |
| spellingShingle |
Mohd Zawawi, Iskandar Shah Ibrahim, Zarina Bibi Block backward differentiation formulas for solving fuzzy differential equations under generalized differentiability |
| author_facet |
Mohd Zawawi, Iskandar Shah Ibrahim, Zarina Bibi |
| author_sort |
Mohd Zawawi, Iskandar Shah |
| title |
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_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_sort |
block backward differentiation formulas for solving fuzzy differential equations under generalized differentiability |
| publisher |
Penerbit Universiti Kebangsaan Malaysia |
| publishDate |
2016 |
| url |
http://psasir.upm.edu.my/id/eprint/55215/1/Block%20backward%20differentiation%20formulas%20for%20solving%20fuzzy%20differential%20equations%20under%20generalized%20differentiability.pdf http://psasir.upm.edu.my/id/eprint/55215/ http://pkukmweb.ukm.my/~jsm/ |
| _version_ |
1643835829215297536 |
| score |
13.251813 |