Hypercomplex systems and non-Gaussian stochastic solutions of χ-Wick-type (3+1)-dimensional modified Benjamin-Bona-Mahony equation

Zakarya, Mohammed

doi:10.2298/tsci20s1209z

Cited by 4 publications

(2 citation statements)

References 8 publications

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“…For detailed studies in q-calculus, readers may see [1]. Since the q-calculus and time scale calculus are correlated, readers can see [2][3][4][5] and references therein for more information.…”

Section: Introduction Furthermore Preliminariesmentioning

confidence: 99%

The Spectrum of Second Order Quantum Difference Operator

Yaying¹,

Hazarika

Tripathy

et al. 2022

Symmetry

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In this study, we give another generalization of second order backward difference operator ∇2 by introducing its quantum analog ∇q2. The operator ∇q2 represents the third band infinite matrix. We construct its domains c0(∇q2) and c(∇q2) in the spaces c0 and c of null and convergent sequences, respectively, and establish that the domains c0(∇q2) and c(∇q2) are Banach spaces linearly isomorphic to c0 and c, respectively, and obtain their Schauder bases and α-, β- and γ-duals. We devote the last section to determine the spectrum, the point spectrum, the continuous spectrum and the residual spectrum of the operator ∇q2 over the Banach space c0 of null sequences.

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Section: Introduction Furthermore Preliminariesmentioning

confidence: 99%

The Spectrum of Second Order Quantum Difference Operator

Yaying¹,

Hazarika

Tripathy

et al. 2022

Symmetry

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“…Investigations on the flow characteristics of Williamson nanofluid by considering changed geometries have been given in detail by [23][24][25][26][27][28]. A more detailed discussion is given in some related works (see, for example, [29][30][31][32]).…”

Section: Introductionmentioning

confidence: 99%

Numerical Simulation of Williamson Nanofluid Flow over an Inclined Surface: Keller Box Analysis

Rafique¹,

Alotaibi

2021

Applied Sciences

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The study of nanofluids has become a key research area in mathematics, physics, engineering, and materials science. Nowadays, nanofluids are widely used in many industrial applications to improve thermophysical properties such as thermal conductivity, thermal diffusivity, convective heat transfer, and viscosity. This article discusses the effects of heat generation/absorption and chemical reaction on magnetohydrodynamics (MHD) flow of Williamson nanofluid over an inclined stretching surface. The impact of Williamson factor on velocity field is investigated numerically using Keller box analysis (KBA). Suitable similarity transformations are used to recover ordinary differential equations (ODEs) from the boundary flow equations. These ordinary differential equations are addressed numerically. The numerical computations revealed that energy and species exchange decrease with rising values of magnetic field. Moreover, it is found that increasing the chemical reaction parameter increases the Nusselt number and decreases skin friction. Further, the effect of Lewis parameter diminishes energy transport rate. In the same vein, it is also observed that increasing the inclination can enhance skin friction, while the opposite occurred for the energy and species transport rate. As given numerical computations demonstrate, our results are in reasonable agreement with the reported earlier studies.

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