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Toplam kayıt 11, listelenen: 1-10
Analysis of second order and unconditionally stable BDF2-AB2 method for the Navier-Stokes equations with nonlinear time relaxation
(Wiley, 2018)
In this study, we first consider a second order time stepping finite element BDF2-AB2 method for Navier-Stokes equations (NSE). We prove that the method is unconditionally stable and O(Delta t(2)) accurate. Second, we ...
Second order time relaxation model for accelerating convergence to steady-state equilibrium for Navier-Stokes equations
(Elsevier Science Bv, 2017)
This paper deals with the problem of accelerating convergence to equilibrium for the Navier-Stokes equation using time relaxation models. We show that the BDF2 based semidiscrete solution of the regularized scheme converges ...
Multistage Bernstein collocation method for solving strongly nonlinear damped systems
(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 ...
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 ...
Taylor collocation approach for delayed Lotka-Volterra predator-prey system
(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 ...
Bernstein method for the MHD flow and heat transfer of a second grade fluid in a channel with porous wall
(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 ...
Solution of fractional-order differential equations based on the operational matrices of new fractional Bernstein functions
(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 ...
Bernstein Series Solution of a Class of Lane-Emden Type Equations
(Hindawi Ltd, 2013)
The purpose of this study is to present an approximate solution that depends on collocation points and Bernstein polynomials for a class of Lane-Emden type equations with mixed conditions. The method is given with some ...
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 ...