A new fuzzy version of Euler's method for solving differential equations with fuzzy initial values
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Universiti Kebangsaan Malaysia (UKM)
2011
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my.unimap-140442011-10-06T06:24:05Z A new fuzzy version of Euler's method for solving differential equations with fuzzy initial values Muhammad Zaini, Ahmad M. K., Hasan Euler’s method Fuzzy initial value Fuzzy set Optimisation Link to publisher's homepage at http://www.ukm.my/ 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. 2011-10-06T06:24:05Z 2011-10-06T06:24:05Z 2011-06 Article Sains Malaysiana, vol. 40 (6), 2011, pages 651–657 0126-6039 http://www.ukm.my/jsm/pdf_files/SM-PDF-40-6-2011/17%20AHMAD%20M.Z.pdf http://hdl.handle.net/123456789/14044 en Universiti Kebangsaan Malaysia (UKM) |
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Universiti Malaysia Perlis |
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Malaysia |
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Universiti Malaysia Perlis |
| content_source |
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http://dspace.unimap.edu.my/ |
| language |
English |
| topic |
Euler’s method Fuzzy initial value Fuzzy set Optimisation |
| spellingShingle |
Euler’s method Fuzzy initial value Fuzzy set Optimisation Muhammad Zaini, Ahmad M. K., Hasan A new fuzzy version of Euler's method for solving differential equations with fuzzy initial values |
| description |
Link to publisher's homepage at http://www.ukm.my/ |
| format |
Article |
| author |
Muhammad Zaini, Ahmad M. K., Hasan |
| author_facet |
Muhammad Zaini, Ahmad M. K., Hasan |
| author_sort |
Muhammad Zaini, Ahmad |
| title |
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_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_sort |
new fuzzy version of euler's method for solving differential equations with fuzzy initial values |
| publisher |
Universiti Kebangsaan Malaysia (UKM) |
| publishDate |
2011 |
| url |
http://dspace.unimap.edu.my/xmlui/handle/123456789/14044 |
| _version_ |
1643790967186128896 |