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Toplam kayıt 4, listelenen: 1-4
Fractional bernstein series solution of fractional diffusion equations with error estimate
(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 ...
An Enhanced Adaptive Bernstein Collocation Method for Solving Systems of ODEs
(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 ...
Bernstein Collocation Method for Solving MHD Jeffery-Hamel Blood Flow Problem with Error Estimations
(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 ...
A numerical approach based on Bernstein collocation method: Application to differential Lyapunov and Sylvester matrix equations
(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 ...