Browsing by Author "Alghamdi, Metib"

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Citation Count: Alghamdi, Metib...et al. (2020). "Dynamics of COVID-19 via singular and non-singular fractional operators under real statistical observations", Mathematical Methods in the Applied Sciences.
Dynamics of COVID-19 via singular and non-singular fractional operators under real statistical observations
(2020) Alghamdi, Metib; Alqarni, M. S.; Alshomrani, Ali Saleh; Ullah, Malik Zaka; Baleanu, Dumitru; 56389
Coronavirus has paralyzed various socio-economic sectors worldwide. Such unprecedented outbreak was proved to be lethal for about 1,069,513 individuals based upon information released by Worldometers on October 09, 2020. In order to fathom transmission dynamics of the virus, different kinds of mathematical models have recently been proposed in literature. In the continuation, we have formulated a deterministic COVID-19 model under fractional operators using six nonlinear ordinary differential equations. Using fixed-point theory and Arzela Ascoli principle, the proposed model is shown to have existence of unique solution while stability analysis for differential equations involved in the model is carried out via Ulam-Hyers and generalized Ulam-Hyers conditions in a Banach space. Real COVID-19 cases considered from July 01 to August 14, 2020, in Pakistan were used to validate the model, thereby producing best fitted values for the parameters via nonlinear least-squares approach while minimizing sum of squared residuals. Elasticity indices for each parameter are computed. Two numerical schemes under singular and non-singular operators are formulated for the proposed model to obtain various simulations of particularly asymptomatically infectious individuals and of control reproduction number Rc. It has been shown that the fractional operators with order alpha=9.8254e-01 generated Rc=2.5087 which is smaller than the one obtained under the classical case ( alpha=1). Interesting behavior of the virus is explained under fractional case for the epidemiologically relevant parameters. All results are illustrated from biological viewpoint.
Citation Count: Alghamdi, Metib...at all (2021). "Significance of variability in magnetic field strength and heat source on the radiative-convective motion of sodium alginate-based nanofluid within a Darcy-Brinkman porous structure bounded vertically by an irregular slender surface", Case Studies in Thermal Engineering, Vol. 28.
Significance of variability in magnetic field strength and heat source on the radiative-convective motion of sodium alginate-based nanofluid within a Darcy-Brinkman porous structure bounded vertically by an irregular slender surface
(2021) Alghamdi, Metib; Wakif, A.; Thumma, Thirupathi; Khan, Umair; Baleanu, Dumitru; Rasool, Ghulam; 56389
The dynamical behavior and thermal transportation feature of an enhanced MHD convective Casson bi-phasic flows of sodium alginate-based nanofluids are examined numerically in a Darcy-Brinkman medium bounded by a vertical elongating slender concave-shaped surface. The mathematical framework of the present flow model is developed properly by adopting the single-phase approach, whose solid phase is selected to be metallic or metallic oxide nanoparticles. Besides, the influence of thermal radiation is taken into consideration in the presence of an internal variable heat generation. A set of feasible similarity transformations are applied for the conversion of the governing PDEs into a nonlinear differential structure of coupled ODEs. An advanced differential quadrature algorithm is employed herein to acquire accurate numerical solutions for momentum and energy equations. For validating the obtained numerical findings, extensive comparison tests are carried out in this sense. The results of the current exploration show that the wall heat transfer rate and the frictional effect are strengthened with the loading of nanoparticles and weakened with the mounting values of the heat source parameters. However, the magnetic parameter exhibits a reverse trend concerning those engineering quantities. Statistically, the slope linear regression method (SLRM) proves that the aurum-sodium alginate nanofluid presents the higher frictional factor, whereas the copper oxide-sodium alginate is the more thermal performant nanofluid.