A new fuzzy version of euler’s method for solving differential equations with fuzzy initial values
This paper proposes a new fuzzy version of Euler’s method for solving differential equations with fuzzy initial values. Our proposed method is based on Zadeh’s extension principle for the reformulation of the classical Euler’s method, which takes into account the dependency problem that arises in fu...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Universiti Kebangsaan Malaysia
2011
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| Online Access: | http://journalarticle.ukm.my/2518/ http://journalarticle.ukm.my/2518/1/17_AHMAD_M.Z.pdf |
| _version_ | 1848809892398235648 |
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| author | Muhammad Zaini Ahmad, Mohammad Khatim Hasan, |
| author_facet | Muhammad Zaini Ahmad, Mohammad Khatim Hasan, |
| author_sort | Muhammad Zaini Ahmad, |
| building | UKM Institutional Repository |
| collection | Online Access |
| description | This paper proposes a new fuzzy version of Euler’s method for solving differential equations with fuzzy initial values. Our proposed method is based on Zadeh’s extension principle for the reformulation of the classical Euler’s method, which takes into account the dependency problem that arises in fuzzy setting. This problem is often neglected in numerical methods found in the literature for solving differential equations with fuzzy initial values. Several examples are provided to show the advantage of our proposed method compared to the conventional fuzzy version of Euler’s method proposed in the literature. |
| first_indexed | 2025-11-14T23:21:50Z |
| format | Article |
| id | oai:generic.eprints.org:2518 |
| institution | Universiti Kebangasaan Malaysia |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-14T23:21:50Z |
| publishDate | 2011 |
| publisher | Universiti Kebangsaan Malaysia |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | oai:generic.eprints.org:25182016-12-14T06:31:51Z http://journalarticle.ukm.my/2518/ A new fuzzy version of euler’s method for solving differential equations with fuzzy initial values Muhammad Zaini Ahmad, Mohammad Khatim Hasan, This paper proposes a new fuzzy version of Euler’s method for solving differential equations with fuzzy initial values. Our proposed method is based on Zadeh’s extension principle for the reformulation of the classical Euler’s method, which takes into account the dependency problem that arises in fuzzy setting. This problem is often neglected in numerical methods found in the literature for solving differential equations with fuzzy initial values. Several examples are provided to show the advantage of our proposed method compared to the conventional fuzzy version of Euler’s method proposed in the literature. Universiti Kebangsaan Malaysia 2011-06 Article PeerReviewed application/pdf en http://journalarticle.ukm.my/2518/1/17_AHMAD_M.Z.pdf Muhammad Zaini Ahmad, and Mohammad Khatim Hasan, (2011) A new fuzzy version of euler’s method for solving differential equations with fuzzy initial values. Sains Malaysiana, 40 (6). pp. 651-657. ISSN 0126-6039 http://www.ukm.my/jsm/ |
| spellingShingle | Muhammad Zaini Ahmad, Mohammad Khatim Hasan, A new fuzzy version of euler’s method for solving differential equations with fuzzy initial values |
| title | A new fuzzy version of euler’s method for solving differential equations with fuzzy initial values |
| title_full | A new fuzzy version of euler’s method for solving differential equations with fuzzy initial values |
| title_fullStr | A new fuzzy version of euler’s method for solving differential equations with fuzzy initial values |
| title_full_unstemmed | A new fuzzy version of euler’s method for solving differential equations with fuzzy initial values |
| title_short | A new fuzzy version of euler’s method for solving differential equations with fuzzy initial values |
| title_sort | new fuzzy version of euler’s method for solving differential equations with fuzzy initial values |
| url | http://journalarticle.ukm.my/2518/ http://journalarticle.ukm.my/2518/ http://journalarticle.ukm.my/2518/1/17_AHMAD_M.Z.pdf |