Yazar "Şendur, Ali" için Araştırma Çıktıları (TR Dizin / Web of Science / Scopus / PubMed) listeleme
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Bubble-based stabilized finite element methods for time-dependent convection-diffusion-reaction problems
Şendur, Ali; Neslitürk, Ali İhsan (Wiley, 2016)In this paper, we propose a numerical algorithm for time-dependent convection-diffusion-reaction problems and compare its performance with the well-known numerical methods in the literature. Time discretization is performed ... -
A comparative study on stabilized finite element methods for the convection-diffusion-reaction problems
Şendur, Ali (Hindawi Limited, 2018)The disproportionality in the problem parameters of the convection-diffusion-reaction equation may lead to the formation of layer structures in some parts of the problem domain which are difficult to resolve by the standard ... -
Error estimates for a fully discrete epsilon-uniform finite element method on quasi uniform meshes
Şendur, Ali; Natesan, Srinivasan; Singh, Gautam (2021)In this article, we analyze a fully discrete epsilon-uniformly convergent finite element method for singularly perturbed convection-diffusion-reaction boundary-value problems, on piecewise-uniform meshes. Here, we choose ... -
Error estimates for a fully discrete varepsilon−uniform finite element methodon quasi uniform meshes
Şendur, Ali; Natesan, Srinivasan; Singh, Gautam (2021)In this article, we analyze a fully discrete varepsilon−uniformly convergent finite element method for singularly perturbed convection-diffusion-reaction boundary-value problems, on piecewise-uniform meshes. Here, we choose ... -
Finite difference approximations of multidimensional convection-diffusion-reaction problems with small diffusion on a special grid
Kaya, Adem; Şendur, Ali (Academic Press Inc Elsevier Science, 2015)A numerical scheme for the convection-diffusion-reaction (CDR) problems is studied herein. We propose a finite difference method on a special grid for solving CDR problems particularly designed to treat the most interesting ... -
A note on epidemiologic models: SIR modeling of the COVID-19 with variable coefficients
Çakır, Zafer; Şendur, Ali (Karaganda Üniversitesi-Matematik Bülteni, 2022)The coronavirus disease 2019 (COVID-19) has been responsible for over three million reported cases worldwide. The construction of an appropriate mathematical (epidemiological) model for this disease is a challenging task. ... -
A note on stabilized finite element methods for predator-prey systems
Şendur, Ali (2019)A numerical method that will improve and produce effective results for solving mathematical model for the system of predator-prey interactions which is defined by convection-diffusion-reaction problem is studied herein. ... -
A stabilizing augmented grid for rectangular discretizations of the convection-diffusion-reaction problems
Şendur, Ali (Springer-Verlag Italia Srl, 2018)We propose a numerical method for approximate solution of the convection-diffusion-reaction problems in the case of small diffusion. The method is based on the standard Galerkin finite element method on an extended space ...