Kurum Yazarı "Toprakseven, Şuayip" Bilgisayar Mühendisliği Bölümü Yayın Koleksiyonu İçin Listeleme
-
Error analysis of a weak Galerkin finite element method for two-parameter singularly perturbed differential equations in the energy and balanced norms
Toprakseven, Şuayip; Zhu, Peng (Elsevier, 2023)A weak Galerkin finite element method is proposed for solving singularly perturbed problems with two parameters. A robust uniform optimal convergence has been proved in the corresponding energy and a stronger balanced norms ... -
The existence of positive solutions and a lyapunov type inequality for boundary value problems of the fractional caputo-fabrizio differential equations
Toprakseven, Şuayip (Yıldız Teknik Üniversitesi, 2019)In this paper, a Lyapunov-type inequality and the existence of the positive solutions for boundary value problems of the nonlinear fractional Caputo-Fabrizio differential equation have been presented. By using the Guo ... -
Hartman–wintner and lyapunov-type inequalities for high order fractional boundary value problems
Toprakseven, Şuayip (University of Nis, 2020)In this paper, we obtain Hartman-Wintner and Lyapunov-type inequalities for the three-point fractional boundary value problem of the fractional Liouville-Caputo differential equation of order α ∈ (2, 3]. The results ... -
On Lyapunov-type inequalities for boundary value problems of fractional Caputo-Fabrizio derivative
Toprakseven, Şuayip (TUBITAK Scientific & Technical Research Council Turkey, 2020)In this study, Lyapunov-type inequalities for fractional boundary value problems involving the fractional Caputo Fabrizio differential equation with mixed boundary conditions when the fractional order of beta is an element ... -
Optimal order uniform convergence in energy and balanced norms of weak Galerkin finite element method on Bakhvalov-type meshes for nonlinear singularly perturbed problems
Toprakseven, Şuayip (Springer Heidelberg, 2022)In this paper, we propose a weak Galerkin finite element method (WG-FEM) for solving nonlinear boundary value problems of reaction–diffusion type on a Bakhvalov-type mesh. A robust optimal order of uniform convergence on ... -
A parameter-uniform weak Galerkin finite element method for a coupled system of singularly perturbed reaction-diffusion equations
Toprakseven, Şuayip; Zhu, Peng (Faculty of Sciences and Mathematics, University of Nis, Serbia, 2023)The aim of this paper to investigate a weak Galerkin finite element method (WG-FEM) for solving a system of coupled singularly perturbed reaction-diffusion equations. Each equation in the system has perturbation parameter ... -
Positive solutions for two-point conformable fractional differential equations by monotone iterative scheme
Toprakseven, Şuayip (Turkic World Mathematical Soc, 2021)In this paper, two successively iterative schemes have been provided to show the existence of nontrivial solutions for nonlinear conformable fractional differential equation involving nonlocal boundary condition and a ... -
A space-time discontinuous galerkin method for linear hyperbolic PDE's with high frequencies
Toprakseven, Şuayip (Ankara Üniversitesi, 2020)The main purpose of this paper is to describe a space-time discontinuous Galerkin (DG) method based on an extended space-time approximation space for the linear Örst order hyperbolic equation that contains a high frequency ... -
Superconvergence of a modified weak Galerkin method for singularly perturbed two-point elliptic boundary-value problems
Toprakseven, Şuayip (Springer Verlag Italia Srl, 2022)In this paper, superconvergence approximations of the modified weak Galerkin finite element method for the singularly perturbed two-point elliptic boundary-value problem have been studied. On the piecewise uniform Shishkin ... -
Uniform convergent modified weak Galerkin method for convection-dominated two-point boundary value problems
Toprakseven, Şuayip; Zhu, Peng (Scientific Technical Research Council Turkey-Tubitak, 2021)We propose and analyze a modified weak Galerkin finite element method (MWG-FEM) for solving singularly perturbed problems of convection-dominated type. The proposed method is constructed over piecewise polynomials of degree ... -
A weak Galerkin finite element method for time fractional reaction-diffusion-convection problems with variable coefficients
Toprakseven, Şuayip (Elsevier BV, 2021)In this paper, a weak Galerkin finite element method for solving the time fractional reaction-convection diffusion problem is proposed. We use the well known L1 discretization in time and a weak Galerkin finite element ...