[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 the fractional‐order logistic equation via the first‐kind Dickson polynomials and spectral tau method

A Abd Elaziz El‐Sayed, S Boulaaras… - … Methods in the …, 2023 - Wiley Online Library
In this article, a numerical technique for solving numerically the fractional‐order logistic
equation (FLE) is presented. The fractional‐order derivative of the studied problem is given …

Rational Chebyshev collocation method for solving nonlinear heat transfer equations

S Deniz, M Sezer - International Communications in Heat and Mass …, 2020 - Elsevier
In this paper, the classical collocation method has been revisited and modified by using the
Chebyshev polynomials for solving nonlinear differential equations. Linear and nonlinear …

A novel operational matrix method for solving the fractional delay integro-differential equations with a weakly singular kernel

S Yaghoubi, H Aminikhah, K Sadri - Iranian Journal of Science, 2024 - Springer
In this work, we introduce a feasible and efficient method for solving weakly singular
fractional pantograph delay integro-differential equations. To implement the proposed …

Fractional-order Liouville–Caputo electrical circuit models: QLM-Dickson matrix collocation algorithms

M Izadi, M Kamandar - Computers and Electrical Engineering, 2025 - Elsevier
The current manuscript is a step forward towards solving the generalized electrical circuit
models considered via the concept of Liouville–Caputo fractional operators with two orders …

A novel operational matrix for the numerical solution of nonlinear Lane–Emden system of fractional order

AM Nagy, AA El-Sayed - Computational and Applied Mathematics, 2021 - Springer
In this work, we introduce a numerical method for solving nonlinear fractional system of Lane–
Emden type equations. The proposed technique is based on Dickson operational matrix of a …

Lucas polynomial solution for neutral differential equations with proportional delays

S Gumgum, NB Savasaneril, OK Kurkcu… - TWMS Journal of …, 2020 - dergipark.org.tr
This paper proposes a combined operational matrix approach based on Lucas and Taylor
polynomials for the solution of neutral type di erential equations with proportional delays …

Numerical solution of second-order linear delay differential and integro-differential equations by using Taylor collocation method

A Bellour, M Bousselsal, H Laib - International Journal of …, 2020 - World Scientific
The main purpose of this work is to provide a numerical approach for linear second-order
differential and integro-differential equations with constant delay. An algorithm based on the …

An advanced method with convergence analysis for solving space-time fractional partial differential equations with multi delays

Ö Kıvanç Kürkçü, E Aslan, M Sezer - The European Physical Journal Plus, 2019 - Springer
This study considers the space-time fractional partial differential equations with multi delays
under a unique formulation, proposing a numerical method involving advanced matrix …

An inventive numerical method for solving the most general form of integro-differential equations with functional delays and characteristic behavior of orthoexponential …

ÖK Kürkçü, E Aslan, M Sezer - Computational and Applied Mathematics, 2019 - Springer
In this study, we constitute the most general form of functional integro-differential equations
with functional delays. An inventive method based on Dickson polynomials with the …