A fractional order investigation of smoking model using Caputo-Fabrizio differential operator

YN Anjam, R Shafqat, IE Sarris, M Ur Rahman… - Fractal and …, 2022 - mdpi.com
Smoking is a social trend that is prevalent around the world, particularly in places of learning
and at some significant events. The World Health Organization defines smoking as the most …

Numerical simulation of entropy optimization in radiative hybrid nanofluid flow in a variable features Darcy–Forchheimer curved surface

AU Hayat, I Ullah, H Khan, W Weera, AM Galal - Symmetry, 2022 - mdpi.com
Studies associated with ethylene glycol (EG) have great significance in various engineering
sectors because EG is more useful as a cooling agent in various engines. Furthermore, fluid …

Two novel computational techniques for solving nonlinear time-fractional Lax's Korteweg-de Vries equation

NK Mishra, MM AlBaidani, A Khan, AH Ganie - Axioms, 2023 - mdpi.com
This article investigates the seventh-order Lax's Korteweg–de Vries equation using the Yang
transform decomposition method (YTDM) and the homotopy perturbation transform method …

Energy transfer through a magnetized williamson hybrid nanofluid flowing around a spherical surface: Numerical simulation

OAS Alzu'bi, FA Alwawi, MZ Swalmeh, IM Sulaiman… - Mathematics, 2022 - mdpi.com
A computational simulation of Williamson fluid flowing around a spherical shape in the case
of natural convection is carried out. The Lorentz force and constant wall temperature are …

Novel Approaches for solving fuzzy fractional partial differential equations

M Osman, Y Xia, M Marwan, OA Omer - Fractal and Fractional, 2022 - mdpi.com
In this paper, we present a comparison of several important methods to solve fuzzy partial
differential equations (PDEs). These methods include the fuzzy reduced differential …

Fractional view analysis of Emden-Fowler equations with the help of analytical method

T Botmart, M Naeem, R Shah, N Iqbal - Symmetry, 2022 - mdpi.com
This work aims at a new semi-analytical technique called the Adomian decomposition
method for the analysis of time-fractional Emden–Fowler equations. The Laplace …

Multi-term fractional linear equations modeling oxygen subdiffusion through capillaries

V Pata, S Siryk, N Vasylyeva - arXiv preprint arXiv:2210.05009, 2022 - arxiv.org
For $0<\nu_2<\nu_1\leq 1$, we analyze a linear integro-differential equation on the space-
time cylinder $\Omega\times (0, T) $ in the unknown $ u= u (x, t) $$$\mathbf {D} …

Development and Research of a Modified Upwind Leapfrog Scheme for Solving Transport Problems

A Sukhinov, A Chistyakov, I Kuznetsova, Y Belova… - Mathematics, 2022 - mdpi.com
Modeling complex hydrodynamic processes in coastal systems is an important problem of
mathematical modeling that cannot be solved analytically. The approximation of convective …

Fractional view analysis of Fornberg–Whitham equations by using Elzaki transform

F Haroon, S Mukhtar, R Shah - Symmetry, 2022 - mdpi.com
We present analytical solutions of the Fornberg–Whitham equations with the aid of two well-
known methods: Adomian decomposition transform and variational iteration transform …

A note on the application of the Guermond–Pasquetti mass lumping correction technique for convection–diffusion problems

SV Siryk - Journal of Computational Physics, 2019 - Elsevier
We provide a careful Fourier analysis of the Guermond–Pasquetti mass lumping correction
technique (Guermond and Pasquetti, 2013 [11]) applied to pure transport and convection …