Ersoy Özdek, Demet

Profile Picture
Profile URL
https://hdl.handle.net/20.500.14365/6734
Name Variants
Özdek, D. Ersoy
Ozdek, Demet Ersoy
Özdek, Demet
Ozdek, Demet
Ozdek, D
Ersoy Ozdek, Demet
Ozdek, D. Ersoy
Job Title
Email Address
demet.ersoy@ieu.edu.tr
Main Affiliation
02.02. Mathematics
Status
Current Staff
Website
ORCID ID
0000-0003-3877-6739
Scopus Author ID
55336465300
Turkish CoHE Profile ID
2A6DF11598A82924
Google Scholar ID
UwX1JTkAAAAJ
WoS Researcher ID
AAN-9577-2021
Files
Demet_Ozdek.png (82.19 KB)

Sustainable Development Goals

NO POVERTY1
NO POVERTY
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ZERO HUNGER2
ZERO HUNGER
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GOOD HEALTH AND WELL-BEING3
GOOD HEALTH AND WELL-BEING
2
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QUALITY EDUCATION4
QUALITY EDUCATION
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GENDER EQUALITY5
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CLEAN WATER AND SANITATION6
CLEAN WATER AND SANITATION
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AFFORDABLE AND CLEAN ENERGY7
AFFORDABLE AND CLEAN ENERGY
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DECENT WORK AND ECONOMIC GROWTH8
DECENT WORK AND ECONOMIC GROWTH
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INDUSTRY, INNOVATION AND INFRASTRUCTURE9
INDUSTRY, INNOVATION AND INFRASTRUCTURE
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REDUCED INEQUALITIES10
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SUSTAINABLE CITIES AND COMMUNITIES11
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RESPONSIBLE CONSUMPTION AND PRODUCTION12
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LIFE BELOW WATER14
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LIFE ON LAND15
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PEACE, JUSTICE AND STRONG INSTITUTIONS16
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PARTNERSHIPS FOR THE GOALS17
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Documents

9

Citations

53

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Documents

9

Citations

44

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Scholarly Output

10

Articles

10

Views / Downloads

67/51

Supervised MSc Theses

0

Supervised PhD Theses

0

WoS Citation Count

38

Scopus Citation Count

47

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0

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0

WoS Citations per Publication

3.80

Scopus Citations per Publication

4.70

Open Access Source

3

Supervised Theses

0

JournalCount
Cmc-Computers Materıals & Contınua1
Gazi Mühendislik Bilimleri Dergisi1
Internatıonal Journal of Computatıonal Methods1
Internatıonal Journal of Computer Mathematıcs1
Journal of Applied Mathematics and Computing1
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  • Thumbnail Image
    Article
    Chebyshev Polynomial Solution for the Sir Model of Covid 19
    (2023-12-31) Özdek, Demet
    In this study, we deal with solving numerically initial value problem of a mathematical model of COVID-19 pandemic in Turkey. This model is a SIR model consisting of a nonlinear system of differential equations. In order to solve these equations, a collocation approach based on the Chebyshev polynomials is used. Chebyshev polynomials are orthonormal polynomials and the orthonormality reduces the computation cost of the method as an advantage. Another advantage is that the present method does not require any discretization of the domain. So the method is easy to implement. The main idea of the method is to convert the model to a system of nonlinear algebraic equations. For this we write the approximate solution of the system and its first derivative as the truncated series of Chebyshev polynomials with unknown coefficients in matrix forms and then utilizing the collocation points, the SIR model is converted to a system of the nonlinear equations. The obtained system is solved for the unknown coefficients of the assumed Chebyshev polynomial solution by MATLAB, and so the approximate solution is obtained. In order to check the robustness of the method, residual error of the solution is reviewed. The results show that the method is efficient and accurate.
  • Thumbnail Image
    Article
    Citation - WoS: 3
    Citation - Scopus: 4
    Computing the Green's Function of the Initial Boundary Value Problem for the Wave Equation in a Radially Layered Cylinder
    (World Scientific Publ Co Pte Ltd, 2015-10) Yakhno, V.; Ersoy Özdek, Demet
    In this paper, a method for construction of the time-dependent approximate Green's function for the initial boundary value problem in a radially multilayered cylinder is suggested. This method is based on determination of the eigenvalues and the orthogonal set of the eigenfunctions; regularization of the Dirac delta function in the form of the Fourier series with a finite number of terms; expansion of the unknown Green's function in the form of Fourier series with unknown coefficients and computation of a finite number of unknown Fourier coefficients. Computational experiment confirms the robustness of the method for the approximate computation of the Dirac delta function and Green's function.
  • Thumbnail Image
    Article
    Gegenbauer Parameter Effect on Gegenbauer Wavelet Solutions of Lane-Emden Equations
    (2024-04-30) Özdek, Demet
    In this study, we aim to solve Lane-Emden equations numerically by the Gegenbauer wavelet method. This method is mainly based on orthonormal Gegenbauer polynomials and takes advantage of orthonormality which reduces the computational cost. As a further advantage, Gegenbauer polynomials are associated with a real parameter allowing them to be defined as Legendre polynomials or Chebyshev polynomials for some values. Although this provides an opportunity to be able to analyze the problem under consideration from a wide point of view, the effect of the Gegenbauer parameter on the solution of Lane-Emden equations has not been studied so far. This study demonstrates the robustness of the Gegenbauer wavelet method on three problems of Lane-Emden equations considering different values of this parameter.