Browsing Department of Mathematics and Physics by Issue Date
Now showing items 21-31 of 31
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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 ... -
Modeling of Petroleum Prices in Kenya Using Autoregressive Integrated Moving Average and Vector Autoregressive Models
(2021)The demand for crude oil and petroleum products in Kenya has been increasing very fast over the past twenty years. This is mainly because this particular commodity is used in many sectors of the country’s economy. ... -
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 ... -
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 ... -
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: ... -
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 ... -
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 ... -
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 ... -
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 ... -
Convergence of the Laplace and the alternative multipole expansion approximation series for the Coulomb potential
(2023-06-20)Multipole expansion is a powerful technique used in many-body physics to solve dynamical problems involving correlated interactions between constituent particles. The Laplace multipole expansion series of the Coulomb ...