Browsing by Author "Leung, Ho-Hon"
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Item A computational numerical performance for solving the mathematical epidemiological model based on influenza disease(Elsevier B.V., 2022-09) Jain, Sonal; Leung, Ho-Hon; Kamalov, FiruzUnderstanding epidemic propagation patterns and assessing disease control measures require the use of mathematical and computational methodologies. In recent years, complexity science, management science, sociology, and computer science have all been progressively merged with epidemiology. The interdisciplinary collaboration has sped up the development of computational and mathematical methods for simulating epidemics. The model with the classical time derivative in the influenza disease model is formulated with the Caputo (power-law kernel), Caputo–Fabrizio (exponential kernel), and the novel Atangana–Baleanu fractional derivatives which combined both nonlocal and non-singular properties. Also this article presents the boundness and positiveness Solutions for the influenza model. The analysis of the equilibrium point is also given. Various published articles have utilized the reproductive number notion to investigate disease-spread stability. There were certain conditions proposed to predict whether there would be stability or instability. It was also advised that an analysis be conducted to discover the conditions under which infectious classes will grow or die out. Some authors pointed out that the reproductive number is limited, including its inability to fairly aid in understanding distribution patterns. The concept of strength number and analysis of derivatives of mathematical models were presented to help in understanding the disease model. Further, the stability of disease-free and endemic equilibrium is presented. Finally, a numerical solution with simulation is given. We hope to use these extra studies in a basic model to forecast the future of this research. © 2022 The Author(s)Item A visualization approach to multiplicative reasoning and geometric measurement for primary-school students-a pilot study(City University of New York, 2022-12) Jain, Sonal; Leung, Ho-Hon; Kamalov, FiruzUnderstanding the concept of area requires an understanding of the relationship between geometry and multiplication. The multiplicative reasoning required to find the areas of regular figures is used in many courses in elementary mathematical education. This paper explores various methods in which multiplicative reasoning is incorporated into the measurement of area. The main goal is to provide tasks that encourage the application of multiplicative reasoning when students are asked to measure the areas of geometric figures. Student performance is analyzed in two pilot studies of the relationship between geometric measurement and multiplicative reasoning. © 2022 City University of New York. All rights reserved.Item Arithmetic properties of complex fibonacci numbers and fibonacci quaternions(SAS International Publications, 2021-09) Leung, Ho-Hon; Kamalov, FiruzIn this paper, we investigate certain arithmetic properties of complex Fibonacci numbers and Fibonacci quaternions. More specifically, we look at the divisibility properties of complex Fibonacci numbers and Fibonacci quaternions. Our results make use of some well-known Fibonacci identities. Since quaternions are non-commutative algebra, extra care has been taken to investigate the various divisibility properties of the Fibonacci quaternions. © SAS International Publications.Item Comparative heat transfer analysis of electroconductive F e 3 O 4 - MWCNT - water and F e 3 O 4 - MWCNT - kerosene hybrid nanofluids in a square porous cavity using the non-Fourier heat flux model(American Institute of Physics Inc., 2022-12) Thirumalaisamy K.; Ramachandran, Sivaraj; Ramachandra Prasad V.; Anwar Bég O.; Leung, Ho-Hon; Kamalov, Firuz; Panneer Selvam R.Item Comparative heat transfer analysis of γ - A l 2 O 3 - C 2 H 6 O 2 and γ - 2 O 3 - H 2 O electroconductive nanofluids in a saturated porous square cavity with Joule dissipation and heat source/sink effects(American Institute of Physics Inc., 2022-07-01) Thirumalaisamy K.; Ramachandran, Sivaraj; Ramachandra Prasad V.; Anwar Bég O.; Leung, Ho-Hon; Kamalov, Firuz; Vajravelu K.Inspired by the applications in electromagnetic nanomaterials processing in enclosures and hybrid fuel cell technologies, a mathematical model is presented to analyze the mixed convective flow of electrically conducting nanofluids (γ- A l 2 O 3 - H 2 O and γ- A l 2 O 3 - C 2 H 6 O 2) inside a square enclosure saturated with porous medium under an inclined magnetic field. The Tiwari-Das model, along with the viscosity, thermal conductivity, and effective Prandtl number correlations, is considered in this study. The impacts of Joule heating, viscous dissipation, and internal heat absorption/generation are taken into consideration. Strongly nonlinear conservation equations, which govern the heat transfer and momentum inside the cavity with associated initial and boundary conditions, are rendered dimensionless with appropriate transformations. The marker-and-cell technique is deployed to solve the non-dimensional initial-boundary value problem. Validations with a previous study are included. A detailed parametric study is carried out to evaluate the influences of the emerging parameters on the transport phenomena. When 5 % γ- A l 2 O 3 nanoparticles are suspended into H 2 O base-fluid, the average heat transfer rate of γ- A l 2 O 3 - H 2 O nanoliquid is increased by 25.63 % compared with the case where nanoparticles are absent. When 5 % γ- A l 2 O 3 nanoparticles are suspended into C 2 H 6 O 2 base-fluid, the average heat transfer rate of γ- A l 2 O 3 - C 2 H 6 O 2 nanofluid is increased by 43.20 % compared with the case where nanoparticles are absent. Furthermore, when the heat source is present, the average heat transfer rate of γ- A l 2 O 3 - C 2 H 6 O 2 nanofluid is 194.92 % higher than that in the case of γ- A l 2 O 3 - H 2 O nanofluid. © 2022 Author(s).Item Computation of inclined magnetic field, thermophoresis and Brownian motion effects on mixed convective electroconductive nanofluid flow in a rectangular porous enclosure with adiabatic walls and hot slits(World Scientific, 2023) Sumithra, A.; Sivaraj, R.; Prasad, V. Ramachandra; Bég, O. Anwar; Leung, Ho-Hon; Kamalov, Firuz; Kuharat S.; Kumar, B. RushiItem Computational study of MHD mixed convective flow of Cu/Al2O3-water nanofluid in a porous rectangular cavity with slits, viscous heating, Joule dissipation and heat source/sink effects(Taylor and Francis Ltd., 2023) Santhosh N.; Sivaraj R.; Ramachandra Prasad V.; Anwar Bég O.; Leung, Ho-Hon; Kamalov, Firuz; Kuharat S.A mathematical model is presented to analyze the mixed convective magnetohydrodynamic (MHD) flow of two different nanofluids within a cavity saturated with porous media. The Tiwari–Das model, along with Maxwell and Brinkman formulations, is adopted to feature the characteristics of the considered nanofluids. The two different working fluids of this investigation are considered aluminum oxide (Formula presented.) -water and copper (Formula presented.) -water nanofluids. The impacts of viscous dissipation, internal heat generation/absorption, magnetic field, and Joule heating are examined in this model. The robust, well-tested Marker And Cell (MAC) algorithm is utilized to numerically solve the transformed, dimensionless, nonlinear coupled two-dimensional momentum and energy conservation equations with the prescribed wall boundary conditions. The comparative study finds an upright accordance with the literature. The effect of various pertinent parameters on the rate of heat transfer, isotherms and streamlines contour distributions in the enclosure is graphically displayed. With an increment in nanoparticles volume fraction, the velocity and heat transfer inside the rectangular enclosure are increased. The (Formula presented.) -water nanofluid and (Formula presented.) -water nanofluid in order have (Formula presented.) and (Formula presented.) higher average heat transfer rate when (Formula presented.) (Formula presented.) nanoparticles are suspended into water. This kind of simulation may be useful in electromagnetic nanomaterials processing and hybrid fuel cells. © 2023 Informa UK Limited, trading as Taylor & Francis Group.Item Keep it simple: random oversampling for imbalanced data(Institute of Electrical and Electronics Engineers Inc., 2023) Kamalov, Firuz; Leung, Ho-Hon; Cherukuri, Aswani KumarItem Numerical computing in engineering mathematics(Institute of Electrical and Electronics Engineers Inc., 2022) Kamalov, Firuz; Leung, Ho-HonThe rapid advances in technology over the last decade have significantly altered the nature of engineering knowledge and skills required in the modern industries. In response to the changing professional requirements, engineering institutions have updated their curriculum and pedagogical practices. However, most of the changes in the curriculum have been focused on the core engineering courses without much consideration for the auxiliary courses in mathematics and sciences. In this paper, we aim to propose a new, augmented mathematics curriculum aimed at meeting the requirements of the modern, technology-based engineering workplace. The proposed updates require minimal resources and can be seamlessly integrated into the existing curriculum. © 2022 IEEE.Item Numerical study of axisymmetric magneto-gyrotactic bioconvection in non-Fourier tangent hyperbolic nano-functional reactive coating flow of a cylindrical body in porous media(Springer Science and Business Media Deutschland GmbH, 2021-11) Kumaran, G.; Sivaraj, R.; Ramachandra Prasad, V.; Anwar Beg, O.; Leung, Ho-Hon; Kamalov, F.