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A NSFD discretization of two-dimensional singularly perturbed semilinear convection-diffusion problems
(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 ...
Mathematical study of transmission dynamics of SARS-CoV-2 with waning immunity
(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
(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 ...
Performance of Richardson extrapolation on some numerical methods for a singularly perturbed turning point problem whose solution has boundary layers
(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. ...
A fitted numerical method for parabolic turning point singularly perturbed problems with an interior layer
(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 NSFD method for the singularly perturbed Burgers-Huxley equation
(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 ...