Özaltun, Gökçe

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Profile URL
https://hdl.handle.net/20.500.14365/6762
Name Variants
özaltun, Gökçe
Job Title
Email Address
gokce.ozaltun@ieu.edu.tr
Main Affiliation
02.02. Mathematics
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Former Staff
Website
ORCID ID
0000-0002-7197-1184
Scopus Author ID
57208279582
Turkish CoHE Profile ID
Google Scholar ID
WoS Researcher ID
JGQ-7451-2023

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DECENT WORK AND ECONOMIC GROWTH
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QUALITY EDUCATION
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GOOD HEALTH AND WELL-BEING
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WoS Citation Count

44

Scopus Citation Count

56

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5

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WoS Citations per Publication

8.80

Scopus Citations per Publication

11.20

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2

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JournalCount
Hacettepe Journal of Mathematics and Statistics1
Journal of Applıed Mathematıcs And Computıng1
Journal of Computatıonal And Applıed Mathematıcs1
Mathematics and Computers in Simulation1
Turkısh Journal of Mathematıcs1
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  • Thumbnail Image
    Article
    Citation - WoS: 6
    Citation - Scopus: 8
    Numerical Solutions of the Hiv Infection Model of Cd4(+) Cells by Laguerre Wavelets
    (Elsevier, 2023) Beler, Ayse; Özaltun, Gökçe; Gümgüm, Sevin
    In this study, we analyze the numerical solutions of the Human Immunodeficiency Virus (HIV) infection on helper T cells by using the Laguerre wavelet method. Our goal is to find accurate approximate results of the models that measure the number of helper infected and uninfected T cells as well as the number of free virus particles at a given time. We present two different models which are governed by three first order nonlinear differential equations with different parameters. We include an error analysis in order to compare the results with other methods available in the literature, and observe that the Laguerre wavelet method gives highly accurate results, is very easy to implement, hence efficient, in the solution of the type of problems indicated.(c) 2023 International Association for Mathematics and Computers in Simulation (IMACS). Published by Elsevier B.V. All rights reserved.
  • Thumbnail Image
    Article
    Citation - WoS: 11
    Citation - Scopus: 15
    Legendre Wavelet Solution of Neutral Differential Equations With Proportional Delays
    (Springer Heidelberg, 2019) Gumgum, Sevin; Ersoy Özdek, Demet; Özaltun, Gökçe; Bildik, Necdet
    The aim of this paper is to solve neutral differential equations with proportional delays by using Legendre wavelet method. Using orthonormal polynomials is the main advantage of this method since it enables a decrease in the computational cost and runtime. Some examples are displayed to illustrate the efficiency and accuracy of the proposed method. Numerical results are compared with various numerical methods in literature and show that the present method is very effectual in solving neutral differential equations with proportional delays.
  • Thumbnail Image
    Article
    Citation - WoS: 11
    Citation - Scopus: 14
    Legendre Wavelet Solution of High Order Nonlinear Ordinary Delay Differential Equations
    (Scientific Technical Research Council Turkey-Tubitak, 2019) Gumgum, Sevin; Ersoy Ozdek, Demet; Ozaltun, Gokce
    The purpose of this paper is to illustrate the use of the Legendre wavelet method in the solution of high-order nonlinear ordinary differential equations with variable and proportional delays. The main advantage of using Legendre polynomials lies in the orthonormality property, which enables a decrease in the computational cost and runtime. The method is applied to five differential equations up to sixth order, and the results are compared with the exact solutions and other numerical solutions when available. The accuracy of the method is presented in terms of absolute errors. The numerical results demonstrate that the method is accurate, effectual and simple to apply.
  • Thumbnail Image
    Article
    Citation - WoS: 6
    Citation - Scopus: 8
    Numerical Solutions of Troesch and Duffing Equations by Taylor Wavelets
    (Hacettepe University, 2023) Özaltun, Gökçe; Gümgüm, Sevin
    The aim of this study is to obtain accurate numerical results for the Troesch and Duffing equations by using Taylor wavelets. Important features of the method include easy imple-mentation and simple calculation. The effectiveness and accuracy of the applied method is illustrated by solving these problems for several variables. One of the important vari-able is the resolution parameter which enables to use low degree polynomials and decrease the computational cost. Results show that the proposed method yields highly accurate solutions by using quite low degree polynomials. © 2023, Hacettepe University. All rights reserved.
  • Thumbnail Image
    Article
    Citation - WoS: 10
    Citation - Scopus: 11
    Gegenbauer Wavelet Solutions of Fractional Integro-Differential Equations
    (Elsevier, 2023) Ozaltun, Gokce; Konuralp, Ali; Gumgum, Sevin
    The aim of this study is to use Gegenbauer wavelets in the solution of fractional integrodifferential equations. The method is applied to several problems with different values of resolution parameter and the degree of the truncated polynomial. The results are compared with those obtained from other numerical methods. We observe that the current method is very effective and gives accurate results. One of the reasons for that is it enables us to improve accuracy by increasing resolution parameter, while keeping the degree of polynomial fixed. Another reason is nonlinear terms do not require linearization. Hence the method can be directly implemented and results in the system of algebraic equations which solved by Wolfram Mathematica. It can be asserted that this is the first application of the Gegenbauer wavelet method to the aforementioned types of problems. (C) 2022 Elsevier B.V. All rights reserved.