Browsing Research Articles (Mathematics and Applied Mathematics) by Type "Article"

Browsing Research Articles (Mathematics and Applied Mathematics) by Type "Article"

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  • Adaptive techniques for solving chaotic system of parabolic-type 
    Owolabi, Kolade M.; Pindza, Edson (Elsevier, 2023-03)
    Time-dependent partial differential equations of parabolic type are known to have a lot of applications in biology, mechanics, epidemiology and control processes. Despite the usefulness of this class of differential ...
  • Analysis and new simulations of fractional Noyes-Field model using Mittag-Leffler kernel 
    Karaagac, Berat; Owolabi, Kolade M.; Pindza, Edson (Elsevier, 2022-09)
    In this manuscript, the fractional-in-time NoyesField model for Belousov-Zhabotinsky re- action transport is considered with a novel numerical technique, which was used to ap- proximate the Atangana-Baleanu (ABC) operator ...
  • Application of deep reinforcement learning in asset liability management 
    Wekwete, Takura Asael; Kufakunesu, Rodwell; Van Zyl, A.J. (Gusti) (Elsevier, 2023-11)
    Asset Liability Management (ALM) is an essential risk management technique in Quantitative Finance and Actuarial Science. It aims to maximise a risk-taker’s ability to fulfil future liabilities. ALM is especially critical in ...
  • Applying the barycentric Jacobi spectral method to price options with transaction costs in a fractional Black-Scholes framework 
    Nteumagné, B.F.; Pindza, Edson; Mare, Eben (Scientific Research Publishing, 2014-01)
    The aim of this paper is to show how options with transaction costs under fractional, mixed Brownian-fractional, and subdiffusive fractional Black-Scholes models can be efficiently computed by using the barycentric Jacobi ...
  • Approximating fixed points of multivalued ρ-nonexpansive mappings in modular function spaces 
    Khan, Safeer Hussain; Abbas, Mujahid (SpringerOpen, 2014)
    The existence of fixed points of single-valued mappings in modular function spaces has been studied by many authors. The approximation of fixed points in such spaces via convergence of an iterative process for single-valued ...
  • Are OBE-trained learners ready for university mathematics? 
    Engelbrecht, Johann; Harding, Ansie; Phiri, Patrick A. (Association of Mathematics Education of South Africa, 2010-12)
    The 2009 intake of university students were the first to have received complete school education within the recently implemented Outcomes‐Based Education (OBE) system. A feature of the matriculation examination results ...
  • Aspects of volatility targetting for South African equity investors 
    Khuzwayo, Bhekinkosi; Mare, Eben (Department of Economics, University of Pretoria, 2014)
    We consider so-called volatility targeting strategies in the South African equity market. These strategies are aimed at keeping the volatility of a portfolio consisting of a risky asset, typically an equity index, and ...
  • Assessing the impact of human behavior towards preventative measures on COVID-19 dynamics for Gauteng, South Africa : a simulation and forecasting approach 
    Chukwu, C.W.; Tchoumi, Stephane Yanick; Chazuka, Z.; Juga, M.L.; Obaido, G. (AIMS Press, 2024)
    Globally, the COVID-19 pandemic has claimed millions of lives. In this study, we develop a mathematical model to investigate the impact of human behavior on the dynamics of COVID-19 infection in South Africa. Specifically, ...
  • Assessing the impact of widespread respirator use in curtailing COVID-19 transmission in the USA 
    Ngonghala, Calistus N.; Knitter, James R.; Marinacci, Lucas; Bonds, Matthew H.; Gumel, Abba B. (Royal Society, 2021-09)
    Dynamic models are used to assess the impact of three types of face masks (cloth masks, surgical/procedure masks and respirators) in controlling the COVID-19 pandemic in the USA. We showed that the pandemic would have ...
  • Atmospheric flow modelling using some finite difference methods 
    Appadu, A. Rao (American Institute of Physics, 2018-07)
    In this work, we compare the performance of some finite difference methods in order to solve an advection-diffusion equation which models atmospheric flows. This flow problem was solved by Clancy [3] using Forward-Time ...
  • Banking regulations : an examination of the failure of African Bank using Merton’s structural model 
    Sanderson, Leon B.; Mare, Eben; De Jongh, Dawie C.J. (Academy of Science of South Africa, 2017-07)
    The business of banking involves the taking of deposits and the making of loans. Banking balance sheets are typically highly leveraged, with equity capital generally dwarfed by debt capital. Banks are regulated entities; ...
  • Basic operations on hypersoft sets and hypersoft point 
    Abbas, Mujahid; Murtaza, Ghulam; Smarandache, Florentin (University of New Mexico, 2020)
    The aim of this paper is to initiat formal study of hypersoft sets. We first, present basic operations like union, intersection and difference of hypersoft sets; basic ingrediants for topological structures on the ...
  • Best proximity point results for almost contraction and application to nonlinear differential equation 
    Hussain, Azhar; Abbas, Mujahid; Adeel, Muhammad; Kanwal, Tanzeela (Department of Mathematics, 2020)
    Berinde introduced almost contraction mappings and proved Banach contraction principle for such mappings. The aim of this paper is to introduce the notion of multivalued almost Θ- contraction mappings and to prove some ...
  • Best proximity point results in generalized metric spaces 
    Saleem, Naeem; Abbas, Mujahid; Farooq, Sadia (Mathematical Association of Thailand, 2022-06)
    In this paper we define a new class of mappings called (θ, α+)- proximal admissible contractions and obtain a unique best proximity point for such mappings in the setting of complete generalized metric space. Our result ...
  • Bi-stable dynamics of a host-pathogen model 
    Anguelov, Roumen; Bekker, Rebecca; Dumont, Yves (Biomath Forum, 2019-01-23)
    Crop host-pathogen interaction have been a main issue for decades, in particular for food security. In this paper, we focus on the modeling and long term behavior of soil-borne pathogens. We first develop a new ...
  • Bifurcation analysis of a computer virus propagation model 
    Dukuza, Njengele Kenneth Kennedy (Hacettepe University, 2021)
    We propose a mathematical model for investigating the efficacy of Countermeasure Competing (CMC) strategy which is a method for reducing the effect of computer virus attacks. Using the Centre Manifold Theory, we determine ...
  • The big unknown : the asymptomatic spread of COVID-19 
    Anguelov, Roumen; Banasiak, Jacek; Bright, Chelsea; Lubuma, Jean M.-S.; Ouifki, Rachid (Biomath Forum, 2020-05)
    The paper draws attention to the asymptomatic and mildly symptomatic cases of COVID-19, which, according to some reports, may constitute a large fraction of the infected individuals. These cases are often unreported and ...
  • Binary recurrences for which powers of two are discriminating moduli 
    De Clercq, Adriaan; Luca, Florian; Martirosyan, Lilit; Matthis, Maria; Moree, Pieter; Stoumen, Max A.; Weiss, Melvin (University of Waterloo, 2020-11)
    Given a sequence of distinct positive integers w0,w1,w2, . . . and any pos- itive integer n, we define the discriminator function Dw(n) to be the smallest positive integer m such that w0, . . . ,wn−1 are pairwise incongruent ...
  • Biometric information recognition using artificial intelligence algorithms : a performance comparison 
    Abdullahi, Sanusi; Khunpanuk, Chainarong; Bature, Zakariyya; Chiroma, Haruna; Pakkaranang, Nuttapol; Abubakar, Auwal Bala; Ibrahim, Abdulkarim (Institute of Electrical and Electronics Engineers, 2022-05-02)
    Addressing crime detection, cyber security and multi-modal gaze estimation in biometric information recognition is challenging. Thus, trained artificial intelligence (AI) algorithms such as Support vector machine (SVM) ...
  • A blended learning Grade 12 intervention using DVD technology to enhance the teaching and learning of mathematics 
    Padayachee, Pragashni; Boshoff, Hennie; Olivier, Werner; Harding, Ansie (Association of Mathematics Education of South Africa, 2011-09-13)
    This article describes the experiences and mathematics performance of Grade 12 learners selected to participate in a mathematics intervention project using digital video disk (DVD) technology within a blended learning ...