Yazar "Hashim, Ishak" için 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 ... -
An Efficient Scheme for Time-Dependent Emden-Fowler Type Equations Based on Two-Dimensional Bernstein Polynomials
Bataineh, Ahmad Sami; Isık, Osman Raşit; Alomari, Abedel-Karrem; Shatnawi, Mohammad; Hashim, Ishak (Mdpi, 2020)In this study, we introduce an efficient computational method to obtain an approximate solution of the time-dependent Emden-Fowler type equations. The method is based on the 2D-Bernstein polynomials (2D-BPs) and their ... -
An Enhanced Adaptive Bernstein Collocation Method for Solving Systems of ODEs
Bataineh, Ahmad Sami; Işık, Osman Raşit; Oqielat, Moa’ath; Hashim, Ishak (MDPI, 2021)In this paper, we introduce two new methods to solve systems of ordinary differential equations. The first method is constituted of the generalized Bernstein functions, which are obtained by Bernstein polynomials, and ... -
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 ... -
Multistage Bernstein collocation method for solving strongly nonlinear damped systems
Bataineh, Ahmad Sami; Al-Omari, Abd Alkreem; Işık, Osman Raşit; Hashim, Ishak (Sage Publications Ltd, 2019)In this paper, we propose an approximate solution method, called multistage Bernstein collocation method (MBCM), to solve strongly nonlinear damped systems. The method is given with an error analysis. The systems investigated ... -
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 ...
