Browsing İşletme Bölümü / Department of Business Administration by ABU Author "Cengizci, Süleyman"
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An asymptotic-numerical hybrid method for singularly perturbed system of two-point reaction-diffusion boundary-value problems
Cengizci, Süleyman; Natesan, Srinivasan; Atay, Mehmet Tarık (Turkish Journal of Mathematics, 2019)This article focuses on the numerical approximate solution of singularly perturbed systems of secondorder reaction-diffusion two-point boundary-value problems for ordinary differential equations. To handle these types of ... -
A comparison between MMAE and SCEM for solving singularly perturbed linear boundary layer problems
Cengizci, Süleyman (FILOMAT, 2019)In this study, we propose an efficient method so-called Successive Complementary Expansion Method (SCEM), that is based on generalized asymptotic expansions, for approximating to the solutions of singularly perturbed ... -
A mathematical model for human-to-human transmission of COVID-19: a case study for Turkey’s data
Cengizci, Süleyman; Dursun Cengizci, Aslıhan; Uğur, Ömür (Mathematical Biosciences and Engineering, 2021)In this study, a mathematical model for simulating the human-to-human transmission of the novel coronavirus disease (COVID-19) is presented for Turkey’s data. For this purpose, the total population is classified into eight ... -
Mathematical modeling of the COVID-19 spread: a case of Turkey
Cengizci, Süleyman; Uğur, Ömür; Dursun Cengizci, Aslıhan (Australia and New Zealand Industrial and Applied Mathematics (ANZIAM), 2021)In this presentation, a mathematical model for the human-to-human transmission of the novel coronavirus disease (COVID-19) is investigated. For this purpose, the total population is classified into eight epidemiological ... -
On an asymptotic-numerical hybrid method for solving singularly perturbed nonlinear delay differential equations
Cengizci, Süleyman; Kıroğlu, Ekrem (4th International Conference on Computational and Experimental Science and Engineering (ICCESEN-2017), 2017)Modelling automatic systems often involves the idea of control because feedback is necessary in order to maintain a stable state. But much of this feedback require a finite time to sense information and react to it. A ... -
On an efficient hybrid method for solving singularly perturbed difference-differential equations exhibiting turning layer behavior
Cengizci, Süleyman; Kıroğlu, Ekrem (4th International Conference on Computational and Experimental Science and Engineering (ICCESEN-2017), 2017)Singularly perturbed differential equations that involve positive small perturbation parameter(s) 0<ɛ≪1 as the multiplier to the highest order derivative term are important concepts of mathematical and engineering sciences. ... -
One-dimensional finite element simulations for chemically reactive hypersonic flows
Cengizci, Süleyman (8th International Eurasian Conference on Mathematical Sciences and Applications (IECMSA-2019), 2019)Hypersonic vehicles are utilized in recent years massively for both military and civilian purposes. As the vehicles fly through an atmosphere at hypersonic speeds (generally considered as Mach>), they experience critical ... -
Some comparisons between MMAE and SCEM for solving singularly perturbed linear problems
Cengizci, Süleyman (3rd International Conference on Computational Mathematics and Engineering Sciences (CMES-2018), 2018)In this study, we propose an efficient method so-called Successive Complementary Expansion Method (SCEM) for approximating to the solutions of singularly perturbed two point boundary value problems. In this efficient ... -
Some numerical experiments on singularly perturbed problems with multi-parameters
Cengizci, Süleyman (8th International Eurasian Conference on Mathematical Sciences and Applications (IECMSA-2019), 2019)In this study, numerical behavior of singular perturbed ordinary differential equations that depend on positive small parameters is investigated. An efficient method that combines the well-known Finite Element Method ... -
A stabilized finite element formulation for numerical simulation of convection-dominated reactive models
Cengizci, Süleyman; Uğur, Ömür; Natesan, Srinivasan (Advances in Differential Equations and Numerical Analysis (ADENA), Indian Institute of Technology Guwahati, India, 2020)In this talk, we are interested in the numerical solution of convection-dominated models with nonlinear reaction mechanisms. The existence of the advection term(s) in the relevant models causes the numerical solutions ... -
Stabilized finite element simulations for burgers'-type equations
Cengizci, Süleyman; Uğur, Ömür; Srinivasan, Natesan (International Conference on Analysis and Its Applications, 2021)In this talk, we are dealing with the numerical solutions to Burgers' type partial differential equations at high Reynolds numbers. The governing equations become more convection-dominated as the Reynolds numbers increase, ... -
A streamline-upwind/petrov-galerkin formulation for supersonic and hypersonic flow simulations
Cengizci, Süleyman; Uğur, Ömür; Kenji, Takizawa; Tezduyar, Tayfun E. (The 20th Biennial Computational Techniques and Applications Conference (CTAC2020), 2020)In this talk, we deal with a simplified version of chemically reactive multi-species hypersonic flow around a cylinder. For this purpose, it is assumed that the flow environment only consists of nitrogen gas (N$_{2}$), and ... -
A SUPG formulation for solving a class of singularly perturbed steady problems in 2D
Cengizci, Süleyman; Uğur, Ömür; Natesan, Srinivasan (The 20th Biennial Computational Techniques and Applications Conference (CTAC2020), 2020)In this presentation, approximate solutions of singularly perturbed partial differential equations are examined. It is a well-known fact that the standard Galerkin finite element method (GFEM) experiences some instability ...
