[HTML][HTML] Unsteady natural convection flow due to fractional thermal transport and symmetric heat source/sink
Unsteady natural convection flow of viscous fluids in a circular cylinder, due to a generalized
fractional thermal transport is analytically studied. The considered mathematical model is …
fractional thermal transport is analytically studied. The considered mathematical model is …
Novel expressions for the derivatives of sixth kind Chebyshev polynomials: Spectral solution of the non-linear one-dimensional Burgers' equation
WM Abd-Elhameed - Fractal and Fractional, 2021 - mdpi.com
This paper is concerned with establishing novel expressions that express the derivative of
any order of the orthogonal polynomials, namely, Chebyshev polynomials of the sixth kind in …
any order of the orthogonal polynomials, namely, Chebyshev polynomials of the sixth kind in …
Novel spectral schemes to fractional problems with nonsmooth solutions
AG Atta, WM Abd‐Elhameed… - … Methods in the …, 2023 - Wiley Online Library
In this article, we present two numerical methods for treating the fractional initial‐value
problem (FIVP) and time‐fractional partial differential problem (FPDP) that caused the error …
problem (FIVP) and time‐fractional partial differential problem (FPDP) that caused the error …
An efficient computational approach for nonlinear variable order fuzzy fractional partial differential equations
This research work employs the Bernstein spectral technique based on Bernstein
polynomials to analyze and to obtain the approximate numerical solution of a class of …
polynomials to analyze and to obtain the approximate numerical solution of a class of …
Chaotic characteristics of thermal convection at smaller verse larger Prandtl number through fractal and fractional differential operators from nanofluid
Nanofluids with a smaller and larger Prandtl number reflect the dominations of thermal
diffusivity and momentum diffusivity, respectively. This fact shows how much heat is carried …
diffusivity and momentum diffusivity, respectively. This fact shows how much heat is carried …
A numerical scheme for fractional mixed convection flow over flat and oscillatory plates
A fractional scheme is proposed to solve time-fractional partial differential equations.
According to the considered fractional Taylor series, the scheme is compact in space and …
According to the considered fractional Taylor series, the scheme is compact in space and …
Generalized Defensive Modeling of Malware Propagation in WSNs Using Atangana–Baleanu–Caputo (ABC) Fractional Derivative
The malware spreading in Wireless Sensor Network (WSN) has lately attracted the attention
of many researchers as a hot problem in nonlinear systems. WSN is a collection of sensor …
of many researchers as a hot problem in nonlinear systems. WSN is a collection of sensor …
Thermal analysis of unsteady convective flows over a vertical cylinder with time-dependent temperature using the generalized Atangana–Baleanu derivative
Unsteady convective flows, over an infinite, vertical, heated, circular cylinder is investigated
by considering the generalized Fourier's law of the thermal process. The generalized …
by considering the generalized Fourier's law of the thermal process. The generalized …
[HTML][HTML] Thermography of ferromagnetic Walter's-B fluid through varying thermal stratification
Thermally induced damages (hypolimnion, metalimnion and epilimnion) are usually caused
by thermal stratification; due to a fact that fluid flows at a low velocity with large temperature …
by thermal stratification; due to a fact that fluid flows at a low velocity with large temperature …
Numerical solution of space fractional diffusion equation using shifted Gegenbauer polynomials.
This paper is concerned with numerical approach for solving space fractional diffusion
equation using shifted Gegenbauer polynomials, where the fractional derivatives are …
equation using shifted Gegenbauer polynomials, where the fractional derivatives are …