Department of Mathematics and Physics
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Recent Submissions
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Modelling Turbulence Using the Staggered Grid and Simplec Method
(International Journal of Innovative Science and Research Technology, 2020-05)In a natural convection, local density differences and a resulting pressure gradient accelerate the fluid. In this paper a numerical study of a turbulent, natural convection problem is performed with an incompressible ... -
A NUMERICAL STUDY OF TURBULENT NATURAL CONVECTION IN A RECTANGULAR ENCLOSURE USING A TWO-EQUATION TURBULENCE MODEL
(Asian Journal of Mathematics and Computer Research, 2017)Turbulent natural convection has been studied both numerically and theoretically. This work numerically studies turbulent natural convection in a rectangular enclosure with varying aspect ratios of 0.5, 1 and 2. The vertical ... -
Effects of Fluid and Reservoir Characteristics on Dimensionless Pressure and Derivative of a Horizontal Well in a Bounded Oil Reservoir with Simultaneous SingleEdge and Bottom Water Drive
(2020-10)This study investigates the effects of fluid, wellbore and reservoir characteristics on dimensionless pressure and dimensionless pressure derivatives at late time flow of a horizontal well in a bounded oil reservoir ... -
A Mathematical Model for Pressure Distribution in a Bounded Oil Reservoir Subject to Single-Edged and Bottom Constant Pressure
(IOSR Journal of Mathematics, 2020-07)Well test analysis of a horizontal well is complex and difficult to interpret. Most horizontal well mathematical models assume that horizontal wells are perfectly horizontal and are parallel to the top and bottom ... -
Mathematical description of a bounded oil reservoir with a horizontal well
(Afr. J. Pur e Appl. Sci, 2021-01-29)Horizontal wells are more productive compared to vertical wells if their performance is optimized. For a completely bounded oil reservoir, immediately the well is put into production, the boundaries of the oil reservoir ... -
The Impact of HIV/AIDS Treatment and Counseling on the Prevalence of Tuberculosis and Malaria Co Infections
(International Journal of Mathematical Analysis, 2023)HIV/AIDS remains one of the leading causes of death in the world with its effects most devastating in Sub Saharan Africa due to its dual infection with opportunistic infections especially malaria and tuberculosis. An ... -
Parameter-free Separable Lowest-order Non-relativistic Hamiltonian for Helium Atom
(arXiv preprint arXiv, 2018-04-25)Electron-electron correlation forms the basis of difficulties encountered in many-body physics. Accurate treatment of the correlation problem is likely to unravel some nice physical properties of matter embedded in the ... -
Positron impact excitation of lowest autoionizing state of potassium atom using distorted wave method with absorption and polarization potentials
(IOP Publishing, 2021-02-25)Differential and integral cross-sections, aswell as the alignment and lambda parametersfor positron impact excitation of the lowest autoionizing state of potassium atom, have been calculated using a non-relativistic distorted ... -
Symmetry-dependent analytical all-electron potential for helium atom
(Elsevier, 2022-09-01)Electron–electron interaction is the origin of the many-body problems usually encountered in physics and chemistry. Helium atom and other two-electron systems are the simplest many-body systems in nature. The Schrödinger ... -
Near-exact non-relativistic ionization energies for many-electron atoms
(The Royal Society, 2022-03-23)Electron–electron interactions and correlations form the basis of difficulties encountered in the theoretical solution of problems dealing with multi-electron systems. Accurate treatment of the electron–electron problem ... -
Partitioning of the Electron-Electron Interaction
(New Horizons in Mathematical Physics, 2020-06)Electron-electron correlation forms the basis of difficulties encountered in many-body problems. Accurate treatment of the correlation problem is likely to unravel some nice physical properties of matter embedded in this ... -
Pseudopotential for Many-Electron Atoms
(Journal of Advances in Applied Physics, 2020-05)Electron-electron correlation forms the basis of difficulties encountered in multi-electron systems. Accurate treatment of the correlation problem is likely to unravel some nice physical properties of matter embedded in ... -
Multipole expansion of integral powers of cosine theta
(2020-11)Legendre polynomials form the basis for multipole expansion of spatially varying functions. The technique allows for decomposition of the function into two separate parts with one depending on the radial coordinates only ... -
Partitioning of the Electron Correlation Energy
(arXiv preprint arXiv, 2017-08-14)Electron-electron correlation forms the basis of difficulties encountered in many-body problems. Accurate treatment of the correlation problem is likely to unravel some nice physical properties of matter embedded in this ... -
ON THE CYCLE INDICES OF FROBENIOUS GROUPS
(2010)There are several very useful formulas, which give the cycle indices of the binary operation of the sum, product, composition and power group of M and H in terms of cycle indices of M and H. One very useful binary operation ... -
Evaluation of Sea-Water Intrusion in Coastal Aquifers Using both Numerical Methods and Causal Research: A Case Study of Mombasa, Kenya
(Scientific Research Publishing, 2021-07-02)This research carried out in Mombasa Island links research done in 2020 on the effects of sea-water intrusion and the current state. The aquifer in Mombasa Island is semi-confined and consists of limestone and coral rock. ... -
THE NUMBER OF DISTINCT FUZZY SUBGROUPS OF THE GROUP r p q Z n × Z m × Z FOR DISTINCT PRIMES p, q, r AND m, n ∈ Z+
(2022)The equivalence relation ‘~’ defined by Murali and Makamba is used to find the number of the distinct fuzzy subgroups of the group r , p q Z n × Z m × Z where p, q, r are distinct primes with m and n as Received: ... -
Classifying fuzzy subgroups of the abelian group Zp1× Zp2×···× Zpn for distinct primes p1, p2,···, pn
(2017)In this paper, we classify the fuzzy subgroups of the group G= Zp1× Zp2×···× Zpn where p1, p2,···, pn are distinct primes and n∈ Z+. We develop an algorithm for counting the distinct fuzzy subgroups of the group G using ... -
Sum Construction of Automorphic Symmetric Balanced Incomplete Block Designs
(International Journal of Scientific Research in Mathematical and Statistical Sciences, 2020)- In this study Sum construction method of automorphic symmetric balanced incomplete block designs has been presented in details. Efficiency of a test design used in the Sum construction of automorphic symmetric ... -
Semi-Parametric Modeling of Churn Confounding Competing Risks Using Time-Dependent Covariates Among Mobile Phone Subscribers in Kenya
(Istanbul University, 2023-06-01)Mobile phone service providers are currently experiencing high churn rates. As a result, service providers are trying to develop ways to predict churn rates and uncover why subscribers’ churn occurs. However, the task of ...