Browsing by Author "Tahir, Madeeha"

Now showing 1 - 2 of 2

Citation Count: Al-Qurashi, Maysaa...et al. (2022). "New computations for the two-mode version of the fractional zakharov-kuznetsov model in plasma fluid by means of the shehu decomposition method", AIMS Mathematics, Vol. 7, No. 2, pp. 2044-2060.
New computations for the two-mode version of the fractional zakharov-kuznetsov model in plasma fluid by means of the shehu decomposition method
(2022) Al-Qurashi, Maysaa; Rashid, Saima; Jarad, Fahd; Tahir, Madeeha; Alsharif, Abdullah M.; 234808
In this research, the Shehu transform is coupled with the Adomian decomposition method for obtaining the exact-approximate solution of the plasma fluid physical model, known as the Zakharov-Kuznetsov equation (briefly, ZKE) having a fractional order in the Caputo sense. The Laplace and Sumudu transforms have been refined into the Shehu transform. The action of weakly nonlinear ion acoustic waves in a plasma carrying cold ions and hot isothermal electrons is investigated in this study. Important fractional derivative notions are discussed in the context of Caputo. The Shehu decomposition method (SDM), a robust research methodology, is effectively implemented to generate the solution for the ZKEs. A series of Adomian components converge to the exact solution of the assigned task, demonstrating the solution of the suggested technique. Furthermore, the outcomes of this technique have generated important associations with the precise solutions to the problems being researched. Illustrative examples highlight the validity of the current process. The usefulness of the technique is reinforced via graphical and tabular illustrations as well as statistics theory. © 2022 the Author(s), licensee AIMS Press. This is an open access article distributed under the terms of the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0).
Citation Count: Javaid, Maria...et al. (2022). "Unsteady flow of fractional Burgers’ fluid in a rotating annulus region with power law kernel", Alexandria Engineering Journal, Vol. 61, No. 1, pp. 17-27.
Unsteady flow of fractional Burgers’ fluid in a rotating annulus region with power law kernel
(2022) Javaid, Maria; Tahir, Madeeha; Imran, Muhammad; Baleanu, Dumitru; Akgül, Ali; Imran, Muhammad Asjad; 56389
Keeping in view of the complex fluid mechanics in bio-medicine and engineering, the Burgers’ fluid with a fractional derivatives model analyzed through a rotating annulus. The governing partial differential equation solved for velocity field and shear stress by using integral transformation method and using Bessel equations. The transformed equation inverted numerically by using Gaver-Stehfest's algorithm. The approximate analytical solution for rotational velocity, and shear stress are presented. The influence of various parameters like fractional parameters, relaxation and retardation time parameters material constants, time and viscosity parameters are drawn numerically. It is found that the relaxation time and time helps the flow pattern, on the other hand other material constants resist the fluid rotation. Fractional parameters effect on fluid flow is opposite to each other. Finally, to check the validity of the solution there are comparisons for velocity field and shear stress for obtained results with an other numerical algorithm named Tzou's algorithm.