Demonstration of unique problems from Soliton solutions to nonlinear Selkov–Schnakenberg system

MS Iqbal, AR Seadawy, MZ Baber - Chaos, Solitons & Fractals, 2022 - Elsevier
This article investigates the existence theory, exact solutions, and the unique solutions of
physical problems. In this study the well-known Selkov–Schnakenberg system of coupled …

General methods to synchronize fractional discrete reaction–diffusion systems applied to the glycolysis model

T Hamadneh, A Hioual, R Saadeh, MA Abdoon… - Fractal and …, 2023 - mdpi.com
Because they are useful for both enabling numerical simulations and containing well-
defined physical phenomena, discrete fractional reaction–diffusion models have attracted a …

Positivity and boundedness preserving numerical algorithm for the solution of fractional nonlinear epidemic model of HIV/AIDS transmission

Z Iqbal, N Ahmed, D Baleanu, W Adel, M Rafiq… - Chaos, Solitons & …, 2020 - Elsevier
In this article, an integer order nonlinear HIV/AIDS infection model is extended to the non-
integer nonlinear model. The Grunwald Letnikov nonstandard finite difference scheme is …

[HTML][HTML] On traveling wave solutions of an autocatalytic reaction–diffusion Selkov–Schnakenberg system

YH Zhao, MS Iqbal, MZ Baber, M Inc, MO Ahmed… - Results in physics, 2023 - Elsevier
This paper investigates the analytical solutions of the autocatalytic reaction–diffusion Selkov–
Schnakenberg system of coupled nonlinear PDEs mathematical perspective. This is a …

The coupled nonlinear Schrödinger-type equations

MAE Abdelrahman, SZ Hassan, M Inc - Modern Physics Letters B, 2020 - World Scientific
Nonlinear Schrodinger equations can model nonlinear waves in plasma physics, optics,
fluid and atmospheric theory of profound water waves and so on. In this work, the exp (− φ …

Reliable numerical analysis for stochastic reaction-diffusion system

MW Yasin, N Ahmed, MS Iqbal, M Rafiq, A Raza… - Physica …, 2022 - iopscience.iop.org
In this article, stochastic behavior of reaction diffusion brusselator model is under
consideration. There are many physical phenomena which are related to chemical …

Synchronization of the glycolysis reaction-diffusion model via linear control law

A Ouannas, IM Batiha, S Bekiros, J Liu, H Jahanshahi… - Entropy, 2021 - mdpi.com
The Selkov system, which is typically employed to model glycolysis phenomena, unveils
some rich dynamics and some other complex formations in biochemical reactions. In the …

Local stability, global stability, and simulations in a fractional discrete glycolysis reaction–diffusion model

T Hamadneh, A Hioual, O Alsayyed… - Fractal and …, 2023 - mdpi.com
In the last few years, reaction–diffusion models associated with discrete fractional calculus
have risen in prominence in scientific fields, not just due to the requirement for numerical …

A reliable computational scheme for stochastic reaction–diffusion nonlinear chemical model

MS Arif, K Abodayeh, Y Nawaz - Axioms, 2023 - mdpi.com
The main aim of this contribution is to construct a numerical scheme for solving stochastic
time-dependent partial differential equations (PDEs). This has the advantage of solving …

[HTML][HTML] Nonlinear forced vibration analysis of composite beam combined with DQFEM and IHB

K Ri, P Han, I Kim, W Kim, H Cha - AIP Advances, 2020 - pubs.aip.org
In this paper, a forced vibration model of composite beams under the action of periodic
excitation force considering geometric nonlinearity is proposed. For the strain–displacement …