Nonstandard finite difference schemes for an SIR epidemic model

M Mehdizadeh Khalsaraei, A Shokri, S Noeiaghdam… - Mathematics, 2021 - mdpi.com
This paper aims to present two nonstandard finite difference (NFSD) methods to solve an
SIR epidemic model. The proposed methods have important properties such as positivity …

The new class of multistep multiderivative hybrid methods for the numerical solution of chemical stiff systems of first order IVPs

MM Khalsaraei, A Shokri, M Molayi - Journal of Mathematical Chemistry, 2020 - Springer
In this paper, we present a general form of N th derivative multistep methods. In these hybrid
multistep multiderivative methods, additional stage points (or off-step points) have been …

Numerical simulation of second-order initial-value problems using a new class of variable coefficients and two-step semi-hybrid methods

A Shokri, M Mehdizadeh Khalsaraei… - …, 2021 - journals.sagepub.com
In this paper, a new family of two-step semi-hybrid schemes of the 12th algebraic order is
proposed for the numerical simulation of initial-value problems of second-order ordinary …

A new implicit high-order six-step singularly P-stable method for the numerical solution of Schrödinger equation

A Shokri, M Mehdizadeh Khalsaraei - Journal of Mathematical Chemistry, 2021 - Springer
In this paper, we present a new implicit six-step singularly P-stable method with vanished
phase-lag and its derivatives up to fifth order for the numerical integration of the one …

The local representation formula of solution for the perturbed controlled differential equation with delay and discontinuous initial condition

A Nachaoui, T Shavadze, T Tadumadze - Mathematics, 2020 - mdpi.com
For the perturbed controlled nonlinear delay differential equation with the discontinuous
initial condition, a formula of the analytic representation of solution is proved in the left …

On the representation of solution for the perturbed quasi-linear controlled neutral functional-differential equation with the discontinuous initial condition

A Nachaoui, T Shavadze… - Georgian Mathematical …, 2024 - degruyter.com
On the representation of solution for the perturbed quasi-linear controlled neutral functional-differential
equation with the discontinuous initial condition Skip to content Should you have institutional …

The local formula of representation of a solution for a functional differential equation with the mixed initial condition considering perturbations of delays containing in …

L Alkhazishvili, M Iordanishvili - Georgian Mathematical Journal, 2022 - degruyter.com
For the perturbed controlled nonlinear delay functional differential equation with the mixed
initial condition a formula of the analytic representation of solution is proved in the left …

[PDF][PDF] On the Representation Formula of a Solution for a Class of Perturbed Controlled Neutral Functional Differential Equation

N Gorgodze, I Ramishvili, T Shavadze - REPORTS OF QUALITDE, 2023 - researchgate.net
The neutral functional-differential equation is a mathematical model of such a system whose
behavior at a given moment depends on the velocity of the system in the past. In the paper …

[PDF][PDF] Seminar of I. Vekua Institute of Applied Mathematics REPORTS, Vol. 48, 2022

T Tadumadze, A Nachaoui, T Shavadze - viam.science.tsu.ge
Seminar of I. Vekua Institute of Applied Mathematics REPORTS, Vol. 48, 2022 ON THE
COEFFICIENT OF SENSITIVITY OF A CONTROLLED DI Page 1 Seminar of I. Vekua Institute of …

[PDF][PDF] Nonstandard Finite Difference Schemes for an SIR Epidemic Model. Mathematics 2021, 9, 3082

M Mehdizadeh Khalsaraei, A Shokri, S Noeiaghdam… - 2021 - academia.edu
This paper aims to present two nonstandard finite difference (NFSD) methods to solve an
SIR epidemic model. The proposed methods have important properties such as positivity …