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dc.contributor.authorMuhammad Zaini, Ahmad
dc.contributor.authorMohammad Khatim, Hasan
dc.date.accessioned2010-11-25T02:48:48Z
dc.date.available2010-11-25T02:48:48Z
dc.date.issued2010-06-02
dc.identifier.urihttp://dspace.unimap.edu.my/123456789/10295
dc.description1st Regional Conference on Applied and Engineering Mathematics (RCAEM-I) 2010 organized by Universiti Malaysia Perlis (UniMAP) and co-organized by Universiti Sains Malaysia (USM) & Universiti Kebangsaan Malaysia (UKM), 2nd - 3rd June 2010 at Eastern & Oriental Hotel, Penang.en_US
dc.description.abstractFuzzy set provides a powerful technique to introduce uncertainty into numerical methods. However, the computations of fuzzy sets often face difficult problems. This is due to non-applicability of common existing methods, severe overestimation in computation, or very high computational complexity. This paper proposes a new strategy to introduce uncertainty into Euler’s method. It consists of two parts. First, we develop a new fuzzy version of Euler’s method, which takes into account the dependency problem that arises in the classical Euler’s method. Second, we perform optimisation technique to approximate the solution of differential equations with fuzzy initial values. This combination gives accurate results and requires only few function evaluations. Several examples are provided to show the capability of our proposed methods compared to the conventional fuzzy version of Euler’s method proposed in the literature.en_US
dc.language.isoenen_US
dc.publisherUniversiti Malaysia Perlis (UniMAP)en_US
dc.relation.ispartofseriesProceedings of the 1st Regional Conference on Applied and Engineering Mathematics (RCAEM-I) 2010en_US
dc.subjectEuler’s methoden_US
dc.subjectFuzzy seten_US
dc.subjectFuzzy initial valueen_US
dc.subjectOptimisationen_US
dc.subjectZadeh’s extension principleen_US
dc.subjectRegional Conference on Applied and Engineering Mathematics (RCAEM)en_US
dc.titleIncorporating optimisation technique into Euler’s method for solving differential equations with fuzzy initial valuesen_US
dc.typeWorking Paperen_US
dc.publisher.departmentInstitut Matematik Kejuruteraanen_US
dc.contributor.urlmzaini@unimap.edu.myen_US
dc.contributor.urlkhatim@ftsm.ukm.myen_US


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