Yazar "Yüksel, Gamze" için listeleme
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Analysis of second order and unconditionally stable BDF2-AB2 method for the Navier-Stokes equations with nonlinear time relaxation
Işık, Osman Raşit; Yüksel, Gamze; Demir, Bülent (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 ... -
A Chebyshev Polynomial Approach for High-Order Linear Fredholm-Volterra Integro-Differential Equations
Yüksel, Gamze; Gülsu, Mustafa; Sezer, Mehmet (Gazi Univ, 2012)The purpose of this study is to present a method for solving high order linear Fredholm-Volterra integrodifferential equations in terms of Chebyshev polynomials under the mixed conditions. The method is based on the ... -
EGE BÖLGESİ İÇİN DİNAMİK MOD AYRIŞTIRMASI İLE KURAKLIK ANALİZİ
Yüksel, Gamze; Sökün, Hakan (Kerim ÇETİNKAYA, 2022)Küresel ısınma ve diğer insani faktörlerle dünya coğrafyasını tehdit eden en önemli afetlerden biri de kuraklıktır. Kuraklık, suda yaşayan canlılardan başlayarak tüm dünya üzerindeki canlı ekosistemini doğrudan/dolaylı ... -
Error analysis of the Chebyshev collocation method for linear second-order partial differential equations
Yüksel, Gamze; Işık, Osman Raşit; Sezer, Mehmet (Taylor & Francis Ltd, 2015)The purpose of this study is to apply the Chebyshev collocation method to linear second-order partial differential equations (PDEs) under the most general conditions. The method is given with a priori error estimate which ... -
Numerical analysis of Backward-Euler discretization for simplified magnetohydrodynamic flows
Yüksel, Gamze; Işık, Osman Raşit (Elsevier Science Inc, 2015)Magnetohydrodynamics (MHD) studies consider the dynamics of electrically conducting fluids. MHD are described by a set of equations, which are a combination of the Navier-Stokes equations of fluid dynamics and Maxwell's ... -
A numerical approach for solving Volterra type functional integral equations with variable bounds and mixed delays
Gökmen, Elçin; Yüksel, Gamze; Sezer, Mehmet (Elsevier Science Bv, 2017)In this paper, the Taylor collocation method has been used the integro functional equation with variable bounds. This method is essentially based on the truncated Taylor series and its matrix representations with collocation ...
