Yazar "0000-0003-1401-4553" için Matematik ve Fen Bilimleri Eğitimi Bölümü Koleksiyonu listeleme
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Bernstein Collocation Method for Solving MHD Jeffery-Hamel Blood Flow Problem with Error Estimations
Bataineh, Ahmad Sami; Işık, Osman Raşit; Hashim, Ishak (HINDAWI LTD, 2022)n this paper, the Bernstein collocation method (BCM) is used for the first time to solve the nonlinear magnetohydrodynamics (MHD) Jeffery-Hamel arterial blood flow issue. The flow model described by nonlinear partial ... -
Bernstein method for the MHD flow and heat transfer of a second grade fluid in a channel with porous wall
Bataineh, A. Sami; Işık, Osman Raşit; Hashim, I. (Elsevier Science Inc, 2016)In this paper, we present an approximate solution method for the problem of magnetohydrodynamic (MHD) flow and heat transfer of a second grade fluid in a channel with a porous wall. The method is based on the Bernstein ... -
Fractional bernstein series solution of fractional diffusion equations with error estimate
Alshbool, Mohammed Hamed; Işık, Osman Raşit; Hashim, Ishak (MDPI, 2021)In the present paper, we introduce the fractional Bernstein series solution (FBSS) to solve the fractional diffusion equation, which is a generalization of the classical diffusion equation. The Bernstein polynomial method ... -
A numerical approach based on Bernstein collocation method: Application to differential Lyapunov and Sylvester matrix equations
Sadek, Lakhlifa; Bataineh, Ahmad Sami; Işık, Osman Raşit; Alaoui, Hamad Talibi; Hashim, Ishak (Elsevier B.V., 2023)In this paper, we apply the Bernstein collocation method to construct the solution set of the Sylvester matrix differential equation (Sy-MDE) which involves the Lyapunov matrix differential equation. The method depends on ... -
Solution of fractional-order differential equations based on the operational matrices of new fractional Bernstein functions
Alshbool, M. H. T.; Bataineh, A. S.; Hashim, I.; Işık, Osman Raşit (Elsevier, 2017)An algorithm for approximating solutions to fractional differential equations (FDEs) in a modified new Bernstein polynomial basis is introduced. Writing x -> x(alpha) (0 < alpha < 1) in the operational matrices of Bernstein ... -
Taylor collocation approach for delayed Lotka-Volterra predator-prey system
Gökmen, Elçin; Işık, Osman Raşit; Sezer, Mehmet (Elsevier Science Inc, 2015)In this study, a numerical approach is proposed to obtain approximate solutions of the system of nonlinear delay differential equations defining Lotka-Volterra prey predator model. By using the Taylor polynomials and ...