[HTML][HTML] Numerical study of axisymmetric hybrid nanofluid MgO-Ag/H2O flow with non-uniform heat source/sink

M Yasir, M Khan, AS Alqahtani, MY Malik - Alexandria Engineering Journal, 2023 - Elsevier
The physical strength, mechanical resistance, chemical stability, thermal conductivity, and
other properties of hybrid nanoparticles are more satisfactory than those of individual …

Discovering novel soliton solutions for (3+ 1)-modified fractional Zakharov–Kuznetsov equation in electrical engineering through an analytical approach

M Alqhtani, KM Saad, R Shah… - Optical and Quantum …, 2023 - Springer
In recent years, the modified Extended Direct Algebraic Method (mEDAM) has demonstrated
to be an effective method for finding novel soliton solutions to nonlinear Fractional Partial …

Solving some physics problems involving fractional-order differential equations with the Morgan-Voyce polynomials

HM Srivastava, W Adel, M Izadi, AA El-Sayed - Fractal and Fractional, 2023 - mdpi.com
In this research, we present a new computational technique for solving some physics
problems involving fractional-order differential equations including the famous Bagley …

Analysis of age wise fractional order problems for the Covid-19 under non-singular kernel of Mittag-Leffler law

B Fatima, M Rahman, S Althobaiti… - Computer Methods in …, 2024 - Taylor & Francis
The developed article considers SIR problems for the recent COVID-19 pandemic, in which
each component is divided into two subgroups: young and adults. These subgroups are …

Quadratic and cubic logistic models involving Caputo–Fabrizio operator

S Al Fahel, D Baleanu, QM Al-Mdallal… - The European Physical …, 2023 - Springer
In this paper, we numerically investigate the fractional quadratic and cubic logistic models
involving the Caputo–Fabrizio operator. We construct the successive iterations using the …

[HTML][HTML] The Layla and Majnun mathematical model of fractional order: stability analysis and numerical study

M Izadi, N Sene, W Adel, A El-Mesady - Results in Physics, 2023 - Elsevier
In this research paper, we investigate the numerical solutions of the nonlinear complex
Layla and Majnun fractional mathematical model, which describes the emotional behavior of …

High-Dimensional Chaotic Lorenz System: Numerical Treatment Using Changhee Polynomials of the Appell Type

M Adel, MM Khader, S Algelany - Fractal and Fractional, 2023 - mdpi.com
Presenting and simulating the numerical treatment of the nine-dimensional fractional chaotic
Lorenz system is the goal of this work. The spectral collocation method (SCM), which makes …

Fractal dynamics and computational analysis of local fractional Poisson equations arising in electrostatics

J Singh, HK Jassim, D Kumar… - … in Theoretical Physics, 2023 - iopscience.iop.org
In this paper, the local fractional natural decomposition method (LFNDM) is used for solving
a local fractional Poisson equation. The local fractional Poisson equation plays a significant …

A potent collocation approach based on shifted gegenbauer polynomials for nonlinear time fractional Burgers' equations

E Magdy, WM Abd-Elhameed, YH Youssri… - Contemporary …, 2023 - ojs.wiserpub.com
This paper presents a numerical strategy for solving the nonlinear time fractional Burgers's
equation (TFBE) to obtain approximate solutions of TFBE. During this procedure, the …

[HTML][HTML] A new multiscale algorithm for solving the heat conduction equation

Y Zhang, Y Jia, Y Lin - Alexandria Engineering Journal, 2023 - Elsevier
In this paper, a multiscale algorithm has been initially proposed for a numerical solution to
the heat conduction equation. Firstly, the differential form of the heat conduction equation is …