Beler, Ayşe

Scholarly Output Search Results

Now showing 1 - 2 of 2

Citation - Scopus: 1
Gegenbauer Wavelet Solutions of the Sir and Sitr Systems of the Covid-19 Disease
(World Scientific Publ Co Pte Ltd, 2024) Simsek, Gokce ozaltun; Beler, Ayse; Gumgum, Sevin
This study aimed to investigate the influence of various parameters on the solutions of the susceptible-infected-recovered (SIR) and susceptible-treated-infectious-recovering (SITR) models to describe the spread of COVID-19. To achieve this, we employ the Gegenbauer wavelet technique to convert the system of nonlinear differential equations into a system of nonlinear algebraic equations. This approach has the advantage of not requiring the linearization of the nonlinear expressions, which significantly reduces truncation errors commonly associated with other methods. We conduct a thorough comparison of the absolute and residual errors generated by this technique against those produced by other numerical methods, finding that our results demonstrate a high level of accuracy. Additionally, the Gegenbauer wavelet technique is not only efficient but also straightforward to implement, contributing to a lower CPU time requirement. Overall, this study highlights the effectiveness of the Gegenbauer wavelet technique in accurately modeling the dynamics of COVID-19 transmission while offering practical computational advantages.
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.

Journal	Count
International Journal of Biomathematics	1
Mathematics and Computers in Simulation	1

Beler, Ayşe

Profile URL

Name Variants

Job Title

Email Address

Main Affiliation

Status

Website

ORCID ID

Scopus Author ID

Turkish CoHE Profile ID

Google Scholar ID

WoS Researcher ID

Files

Sustainable Development Goals

8

DECENT WORK AND ECONOMIC GROWTH

0

Research Products

9

INDUSTRY, INNOVATION AND INFRASTRUCTURE

0

Research Products

10

REDUCED INEQUALITIES

0

Research Products

17

PARTNERSHIPS FOR THE GOALS

0

Research Products

12

RESPONSIBLE CONSUMPTION AND PRODUCTION

0

Research Products

7

AFFORDABLE AND CLEAN ENERGY

0

Research Products

1

NO POVERTY

0

Research Products

5

GENDER EQUALITY

0

Research Products

13

CLIMATE ACTION

0

Research Products

4

QUALITY EDUCATION

0

Research Products

14

LIFE BELOW WATER

0

Research Products

2

ZERO HUNGER

0

Research Products

15

LIFE ON LAND

0

Research Products

16

PEACE, JUSTICE AND STRONG INSTITUTIONS

0

Research Products

6

CLEAN WATER AND SANITATION

0

Research Products

3

GOOD HEALTH AND WELL-BEING

1

Research Products

11