[PDF][PDF] A numerical approach for an epidemic SIR model via Morgan-Voyce series

Ö İlhan, G Şahin - International Journal of Mathematics and Computer …, 2024 - sciendo.com
This study presents the problem of spreading a disease that is not fatal in a population by
using the Morgan-voyce collocation method. The main aim of this paper is to find the exact …

Numerical solution of a singularly perturbed Fredholm integro differential equation with Robin boundary condition

ME Durmaz, G AMİRALİ… - Turkish Journal of …, 2022 - journals.tubitak.gov.tr
In this paper, we deal with singularly perturbed Fredholm integro differential equation
(SPFIDE) with mixed boundary conditions. By using interpolating quadrature rules and …

A Pell–Lucas Collocation Approach for an SIR Model on the Spread of the Novel Coronavirus (SARS CoV-2) Pandemic: The Case of Turkey

Ş Yüzbaşı, G Yıldırım - Mathematics, 2023 - mdpi.com
In this article, we present a study about the evolution of the COVID-19 pandemic in Turkey.
The modelling of a new virus named SARS-CoV-2 is considered by an SIR model consisting …

Numerical solutions and simulations of the fractional COVID‐19 model via Pell–Lucas collocation algorithm

G Yıldırım, Ş Yüzbaşı - Mathematical Methods in the Applied …, 2024 - Wiley Online Library
The aim of this study is to present the evolution of COVID‐19 pandemic in Turkey. For this,
the SIR (Susceptible, Infected, Removed) model with the fractional order derivative is …

Pell-Lucas collocation method for solving a class of second order nonlinear differential equations with variable delays

Ş YÜZBAŞI, G Yildirim - Turkish Journal of Mathematics, 2023 - journals.tubitak.gov.tr
In this study, the approximate solution of the nonlinear differential equation with variable
delays is investigated by means of a collocation method based on the truncated Pell-Lucas …

Pell–Lucas polynomial method for Volterra integral equations of the second kind

AP Lukonde, DD Demir, H Emadifar, M Khademi… - Afrika Matematika, 2023 - Springer
This paper introduces a Pell-Lucas collocation method for solving Volterra integral
equations of the second kind. The proposed method employs collocation points and …

A generic numerical method for treating a system of Volterra integro-differential equations with multiple delays and variable bounds

ÖK Kürkçü, M Sezer - Engineering Computations, 2024 - emerald.com
Purpose This study aims to treat a novel system of Volterra integro-differential equations with
multiple delays and variable bounds, constituting a generic numerical method based on the …

Perturbed Galerkin Method for Solving Integro‐Differential Equations

K Issa, J Biazar, TO Agboola… - Journal of Applied …, 2022 - Wiley Online Library
In this paper, perturbed Galerkin method is proposed to find numerical solution of an integro‐
differential equations using fourth kind shifted Chebyshev polynomials as basis functions …

Pell-Lucas collocation method to solve second-order nonlinear Lane-Emden type pantograph differential equations

Ş Yüzbaşı, G Yıldırım - Fundamentals of Contemporary …, 2022 - dergipark.org.tr
In this article, we present a collocation method for second-order nonlinear Lane-Emden type
pantograph differential equations under intial conditions. According to the method, the …

[PDF][PDF] A Collocation Technique via Pell-Lucas Polynomials to Solve Fractional Differential Equation Model for HIV/AIDS with Treatment Compartment.

G Yıldırım, Ş Yüzbaşı - CMES-Computer Modeling in …, 2024 - cdn.techscience.cn
In this study, a numerical method based on the Pell-Lucas polynomials (PLPs) is developed
to solve the fractional order HIV/AIDS epidemic model with a treatment compartment. The …