Browsing Mathematics by Issue Date

Numerical treatment of Kap's equation using a class of fourth order method

Akanbi, M.A.; Okunuga, S.A.; Sofoluwe, A.B. (Academic Journals, 2011)

Kap's equation is a stiff initial value problem. This paper deals with the treatment of Kap's equation using a class of 4th order explicit Runge-Kutta method. Numerical computation was carried out using Microsoft Visual ...

Fifth order two-stage explicit Runge-Kutta-Nystrom method for the direct integration of second order ordinary differential equations

Okunuga, S.A.; Sofoluwe, A.B.; Ehigie, J.O.; Akanbi, M.A. (Academic Journals, 2012)

In this paper a direct integration of second-order Ordinary Differential Equations (ODEs) of the form using the Explicit Runge-Kutta-Nystrom method with higher derivatives is presented. Various numerical schemes are derived ...

An assessment of the age reporting in Tanzania population census

Mwambene, Eric; Appunni, Sathiya Susuman; Hamisi, Hamisi F.; Lougue, Siaka; Regassa, Nigatu; Ogujiuba, Kanayo (Academic Research Publishing, 2012)

The objective of this paper is to provide data users with a worldwide assessment of the age reporting in the Tanzania Population Census 2012 data. Many demographic and socio-economic data are age-sex attributed. However, ...

Multiplication of Crowns

Witbooi, Peter J. (Instituto de Matematica de Bahia Blanca (INMABB-CONICET), 2013)

It is known that the only nite topological spaces that are H-spaces are the discrete spaces. For a nite poset which is weakly equivalent to an H-space, a generalized multiplication may be found after suitable ...

A model for control of HIV/AIDS with parental care

Abiodun, Gbenga Jacob; Marcus, Nizar; Okosun, Kazeem Oare; Witbooi, Peter J. (World Scientific Publishing, 2013)

In this study we investigate the HIV/AIDS epidemic in a population which experiences a significant flow of immigrants. We derive and analyze a mathematical model that describes the dynamics of HIV infection among the ...

Stability of an SEIR epidemic model with indepenent stochastic perturbations

Witbooi, Peter J. (Elsevier, 2013)

For an epidemic model of the type mentioned, we prove a theorem on almost sure exponential stability of the disease-free equilibrium. For small values of the diffusion parameter, σ, we describe the stability of the disease ...

The fibre of a pinch map in a model category

Hardie, Keith A.; Witbooi, Peter J. (Springer Verlag, 2013)

In the category of pointed topological spaces, let F be the homotopy fibre of the pinching map X ∪ CA → X ∪ CA/ X from the mapping cone on a cofibration A → X onto the suspension of A. Gray (Proc Lond Math Soc (3) ...

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 ...

Contour integral method for European options with jumps

Ngounda, Edgard; Patidar, Kailash C.; Pindza, Edson (Elsevier, 2013)

We develop an efficient method for pricing European options with jump on a single asset. Our approach is based on the combination of two powerful numerical methods, the spectral domain decomposition method and the Laplace ...

Implicit-explicit predictor-corrector methods combined with improved spectral methods for pricing European style vanilla and exotic options

Pindza, Edson; Patidar, Kailash C.; Ngounda, Edgard (Kent State University, 2013)

In this paper we present a robust numerical method to solve several types of European style option pricing problems. The governing equations are described by variants of Black-Scholes partial differential equations (BS-PDEs) ...

An unconditionally stable nonstandard finite difference method applied to a mathematical model of HIV infection

Obaid, Hasim; Ouifki, Rachid; Patidar, Kailash C. (De Gruyter Open, 2013)

We formulate and analyze an unconditionally stable nonstandard finite difference method for a mathematical model of HIV transmission dynamics. The dynamics of this model are studied using the qualitative theory of dynamical ...

An optimal portfolio and capital management strategy for basel III compliant commercial banks

Muller, Grant E.; Witbooi, Peter J. (Hindawi Publishing Corporation, 2014)

We model a Basel III compliant commercial bank that operates in a financial market consisting of a treasury security, a marketable security, and a loan and we regard the interest rate in the market as being stochastic. We ...

A robust spectral method for solving Heston’s model

Ngounda, E.; Patidar, Kailash C.; Pindza, E. (Springer Verlag, 2014)

In this paper, we consider the Heston’s volatility model (Heston in Rev. Financ. Stud. 6: 327–343, 1993]. We simulate this model using a combination of the spectral collocation method and the Laplace transforms method. ...

Self-similarity of human protein interaction networks: a novel strategy of distinguishing proteins

Fadhal, Emad; Gamieldien, Junaid; Mwambene, Eric (2015)

The successful determination of reliable protein interaction networks (PINs) in several species in the post-genomic era has hitherto facilitated the quest to understanding systems and structural properties of such networks. ...

Effect of spatial configuration of an extended nonlinear Kierstead-Slobodkin reaction-transport model with adaptive numerical scheme

Owolabi, Kolade M.; Patidar, Kailash C. (SpringerOpen, 2016)

In this paper, we consider the numerical simulations of an extended nonlinear form of Kierstead-Slobodkin reaction-transport system in one and two dimensions. We employ the popular fourth-order exponential time differencing ...