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Utilization of Chebyshev collocation approach for differential, differential-difference and integro-differential equations
(Taylor and Francis Ltd., 2021)
Numerical solutions to differential and integral equations have been a very active field of research. The necessary tools to solve differential equations can add much fuel for acceleration of scientific development. ...
Time fractional model of electro-osmotic Brinkman-type nanofluid with heat generation and chemical reaction effects: application in cleansing of contaminated water
(Nature Research, 2021)
Drilling fluids execute a dominant role in the extraction of oil and gas from the land and rocks. To enhance the efficiency of drilling fluid, clay nanoparticulate has been utilized. The inclusion of clay nanomaterial to ...
Parametric estimation of gyrotactic microorganism hybrid nanofluid flow between the conical gap of spinning disk-cone apparatus
(Nature Research, 2022)
The silver, magnesium oxide and gyrotactic microorganism-based hybrid nanofluid flow inside the conical space between disc and cone is addressed in the perspective of thermal energy stabilization. Different cases have been ...
Induced magnetic field and viscous dissipation on flows of two immiscible fluids in a rectangular channel
(Nature Research, 2022)
The unsteady, magneto-hydrodynamic generalized Couette flows of two immiscible fluids in a rectangular channel with isothermal walls under the influence of an inclined magnetic field and an axial electric field have been ...
On existence and stability results for pantograph fractional boundary value problems
(World Scientific, 2022)
In this paper, we investigated some essential provisions for the existence and stability of the solution to integral boundary value problems with proportional delay of fractional order Atangana-Baleanu-Caputo (ABC) derivative. ...
Numerical study of non-Darcy hybrid nanofluid flow with the effect of heat source and hall current over a slender extending sheet
(NLM (Medline), 2022)
The current evaluation described the flow features of Darcy Forchhemier hybrid nanoliquid across a slender permeable stretching surface. The consequences of magnetic fields, second order exothermic reaction, Hall current ...
On coupled system of drug therapy via piecewise equations
(World Scientific, 2022)
This paper is devoted to establish some theoretical and computational results for a coupled system of drug therapy process. The considered problem is investigated by using the concept of piecewise modeling. We apply piecewise ...
Generalized heat and mass transport features of MHD Maxwell nanofluid flows past a linearly Bi-stretching surface in the presence of motile microorganisms and chemical reaction
(Elsevier B.V., 2023)
Recent studies have shown that non-Newtonian fluid flows over stretching sheets have received a lot of interest. These fluids have extensive practical applications in various fields of engineering and industries. The ...
Analytical solutions for time-fractional diffusion equation with heat absorption in spherical domains
(Ain Shams University, 2022)
Under the time-variable Dirichlet condition, the time-fractional diffusion equation with heat absorption in a sphere is taken into consideration. The time-fractional derivative with the power-law kernel is used in the ...
Stability and numerical analysis via non-standard finite difference scheme of a nonlinear classical and fractional order model
(Elsevier B.V., 2023)
In this paper, we develop a new mathematical model for an in-depth understanding of COVID-19 (Omicron variant). The mathematical study of an omicron variant of the corona virus is discussed. In this new Omicron model, we ...