TR Dizin İndeksli Yayınlar Koleksiyonu / TR Dizin Indexed Publications Collection

Permanent URI for this collectionhttps://hdl.handle.net/20.500.14365/4

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Department: search.filters.department.İEÜ, Fen Edebiyat Fakültesi, Matematik BölümüSubject: search.filters.subject.nonlinear delay differential equations

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  • Article
    Citation - WoS: 17
    Citation - Scopus: 20
    Lucas Polynomial Solution of Nonlinear Differential Equations With Variable Delays
    (Hacettepe Univ, Fac Sci, 2020-04-02) Gumgum, Sevin; Savasaneril, Nurcan Baykus; Kürkçü, ÖmÜr Kıvanç; Sezer, Mehmet; Kürkҫü, Ömür Kıvanҫ
    In this study, a novel matrix method based on Lucas series and collocation points has been used to solve nonlinear differential equations with variable delays. The application of the method converts the nonlinear equation to a matrix equation which corresponds to a system of nonlinear algebraic equations with unknown Lucas coefficients. The method is tested on three problems to show that it allows both analytical and approximate solutions.