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Mathematical modeling of the COVID-19 spread: a case of Turkey
(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 ...
A comparison between MMAE and SCEM for solving singularly perturbed linear boundary layer problems
(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 ...
On an asymptotic-numerical hybrid method for solving singularly perturbed nonlinear delay differential equations
(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 ...
An asymptotic-numerical hybrid method for singularly perturbed system of two-point reaction-diffusion boundary-value problems
(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 ...
Stabilized finite element simulations for burgers'-type equations
(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 mathematical model for human-to-human transmission of COVID-19: a case study for Turkey’s data
(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 ...
A stabilized finite element formulation for numerical simulation of convection-dominated reactive models
(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 ...
One-dimensional finite element simulations for chemically reactive hypersonic flows
(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 ...
On an efficient hybrid method for solving singularly perturbed difference-differential equations exhibiting turning layer behavior
(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. ...
A streamline-upwind/petrov-galerkin formulation for supersonic and hypersonic flow simulations
(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 ...