Browsing Mathematics by Author "Munyakazi, Justin B."
Now showing items 1-13 of 13
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A fitted numerical method for parabolic turning point singularly perturbed problems with an interior layer
Munyakazi, Justin B.; Patidar, Kailash C.; Sayi, Mbani T. (Wiley, 2019)The objective of this paper is to construct and analyzea fitted operator finite difference method (FOFDM) forthe family of time-dependent singularly perturbed parabolicconvection–diffusion problems. The solution to the ... -
A fitted numerical method for singularly perturbed parabolic reaction-diffusion problems
Munyakazi, Justin B.; Patidar, Kailash C. (Spring Verlag, 2013)This paper treats a time-dependent singularly perturbed reaction-diffusion problem. We semidiscretize the problem in time by means of the classical backward Euler method. We develop a fitted operator finite difference ... -
Mathematical study of transmission dynamics of SARS-CoV-2 with waning immunity
Egbelowo, Oluwaseun F.; Munyakazi, Justin B.; Hoang, Manh Tuan (AIMS Press, 2022)The aim of this work is to provide a new mathematical model that studies transmission dynamics of Coronavirus disease 2019 (COVID-19) caused by severe acute respiratory syndrome coronavirus 2 (SARS-CoV-2). The model ... -
Modeling the impact of combined use of Covid Alert SA app and vaccination to curb Covid-19 infections in South Africa
Kinyili, Musyoka; Munyakazi, Justin B.; Mukhtar, Abdulaziz Y. A. (Public Library of Science, 2023)The unanticipated continued deep-rooted trend of the Severe Acute Respiratory Syndrome Corona-virus-2 the originator pathogen of the COVID-19 persists posing concurrent anxiety globally. More effort is affixed in the ... -
Modeling the impact of combined use of Covid Alert SA app and vaccination to curb Covid-19 infections in South Africa
Kinyili, Musyoka; Munyakazi, Justin B.; Mukhtar, Abdulaziz Y. A. (Public Library of Science, 2023)The unanticipated continued deep-rooted trend of the Severe Acute Respiratory Syndrome Corona-virus-2 the originator pathogen of the COVID-19 persists posing concurrent anxiety globally. More effort is affixed in the ... -
Modelling the effect of bednet coverage on malaria transmission in South Sudan
Mukhtar, Abdulaziz Y. A.; Munyakazi, Justin B.; Ouifki, Rachid; Clark, Allan E. (Public Library of Science, 2018)A campaign for malaria control, using Long Lasting Insecticide Nets (LLINs) was launched in South Sudan in 2009. The success of such a campaign often depends upon adequate available resources and reliable surveillance ... -
New parameter-uniform discretisations of singularly perturbed Volterra integro-differential equations
Iragi, Bakulikira C.; Munyakazi, Justin B. (Natural Sciences Publishing, 2018)We design and analyse two numerical methods namely a fitted mesh and a fitted operator finite difference methods for solving singularly perturbed Volterra integro-differential equations. The fitted mesh method we propose ... -
A new parameter-uniform discretization of semilinear singularly perturbed problems
Munyakazi, Justin B.; Kehinde, Olawale O. (MDPI, 2022)In this paper, we present a numerical approach to solving singularly perturbed semilinear convection-diffusion problems. The nonlinear part of the problem is linearized via the quasilinearization technique. We then design ... -
A NSFD discretization of two-dimensional singularly perturbed semilinear convection-diffusion problems
Kehinde, Olawale O.; Munyakazi, Justin B.; Appadu, Appanah R. (Frontiers Media, 2022)Despite the availability of an abundant literature on singularly perturbed problems, interest toward non-linear problems has been limited. In particular, parameter-uniform methods for singularly perturbed semilinear ... -
A NSFD method for the singularly perturbed Burgers-Huxley equation
Derzie, Eshetu B.; Munyakazi, Justin B.; Dinka, Tekle G. (Frontiers Media, 2023)This article focuses on a numerical solution of the singularly perturbed Burgers-Huxley equation. The simultaneous presence of a singular perturbation parameter and the nonlinearity raise the challenge of finding a reliable ... -
A NSFD method for the singularly perturbed Burgers-Huxley equation
Derzie, Eshetu B.; Munyakazi, Justin B.; Dinka, Tekle G. (Frontiers Media, 2023)This article focuses on a numerical solution of the singularly perturbed Burgers-Huxley equation. The simultaneous presence of a singular perturbation parameter and the nonlinearity raise the challenge of finding a ... -
Performance of Richardson extrapolation on some numerical methods for a singularly perturbed turning point problem whose solution has boundary layers
Munyakazi, Justin B.; Patidar, Kailash C. (KOREAN MATHEMATICAL SOC, 2014)Investigation of the numerical solution of singularly perturbed turning point problems dates back to late 1970s. However, due to the presence of layers, not many high order schemes could be developed to solve such problems. ... -
To use face masks or not after Covid-19 vaccination? An impact analysis using mathematical modeling
Kinyili, Musyoka; Munyakazi, Justin B.; Mukhtar, Abdulaziz Y. A. (Frontiers Media, 2022)The question of whether to drop or to continue wearing face masks especially after being vaccinated among the public is controversial. This is sourced from the efficacy levels of COVID-19 vaccines developed, approved, ...