Volume 30 (2020)

1

Research Article DOI: 10.67897/njma.2020.d04oko97

Lower estimates on the principal eigenvalue of Witten q-Laplacian on Smooth metric measure spaces

A. Abolarinwa^*

Some eigenvalue inequalities in terms of generalized Mckean bound and the weighted Cheeger’s constant are proved for Witten q-Laplacian on smooth metric measure spaces with smooth boundary imposing certain restrictions on geometric quantities such as mean curvatute and sectional curvature of the domains. On the other hand, a clamped plate problem involving Witten bi-Laplacian is considered on a we...

Aug, 2020 pp. 96−110

2

Research Article DOI: 10.67897/njma.2020.miaa05xp

Analysis of High-Pressure Transient flow in Pipeline of Hydrogen-Natural Gas Mixture

Baba Galadima Agaie^*, S. Magaji Abubakar, Baba Ibrahim Mundi, Peter Anthony

Hydrogen is a high pressure gas whose natural mixture requires accurate prediction of pressure drop. The reduced order mod elling is used in analysis of transient flow where viscosity change is neglected leading to Euler equation which becomes the governing equation. This study provides an improvement on the accurate prediction of pressure drop analysis of transient flow of hydrogen natural gas mi...

Aug, 2020 pp. 111−120

3

Research Article DOI: 10.67897/njma.2020.95iq705v

On Jacobi Spectral Polynomials and Evaluation of Definite Integrals

Richard Olu Awonusika^*

In this paper, we construct a new class of spectral polynomials associated with the product P(α,β;γ,δ) k,m := P(α,β) k × P(γ,δ) m  (k, m ≥ 0; α,β,γ,δ > −1), where P(ν,µ) j are the normalised Jacobi polynomials with j ≥ 0;ν,µ > −1. These spectral polynomials are then used to evaluate certain definite integrals involving the combination of logarithmic, exponential and trigonometric functions. These ...

Aug, 2020 pp. 121−138

4

Research Article DOI: 10.67897/njma.2020.5op996l1

Evaluating Accessibility of Healthcare Delivery in Edo South Senatorial District using Kernel Density Estimation

O. Ikpotokin^*, A. A. Idowu, E. M. Ogbeide

Sound health is a major requirement for living essential and productive life. Meanwhile, due to lack of access to quality healthcare delivery, some treatable health conditions often goes untreated and which has in turn reduced productive life of many generations. Kernel Density Estimations (KDE) and Geographic Information System (GIS) based spatial analytical tools and nearest neighbor methods wer...

Aug, 2020 pp. 139−154

5

Research Article DOI: 10.67897/njma.2020.pvb9r593

Derivation of a New One-Step Numerical Integrator for Solving First Order Ordinary Differential Equations

Jamiu Garba^*, Umaru Mohammed

This article presents a new class of one-step second derivative hybrid block method to solve general first order initial value problems of ordinary differential equations. The method is derived by interpolating an approximated power series at one point and collocating its first and second derivatives at some carefully selected intra-step points. The method is implemented in a block form to overcom...

Aug, 2020 pp. 155−172

6

Research Article DOI: 10.67897/njma.2020.x59ehvtx

A Mathematical Model for Measles incorporating Public enlightenment, Vaccination with Testing and Measles Therapy

S. Magaji Abubakar^*, PATRICK NOAH OKOLO, AGABI SIMON ANDREW, USENI PAUL F

A deterministic mathematical model of measles infection incorporating public enlightenment, vaccination of susceptible humans, with testing and measles therapy of exposed humans, with testing and measles therapy of exposed human is developed. The disease-free equilibrium (DFE) state of the model was determined and used to compute the basic reproduction numberR0, as a threshold for effective diseas...

Aug, 2020 pp. 173−191

7

Research Article DOI: 10.67897/njma.2020.13n1o0c4

Subclasses of Partial Contraction Mapping in Semigroup of Linear Operators

Kamilu RAUF^*, A. Y. Akinyele, S. O. Makanjuola

Some properties of C0-Semigroup are investigated and are used to derive some characteristics of ω-Order Preserving and Reversing Partial Contraction Mapping where homo geneous, inhomogeneous and regularity of mild solution for analytic semigroups are engaged. Furthermore, the new sub classes performed exactly like semigroup of linear operators.

Mar, 2020 pp. 1-17

8

Research Article DOI: 10.67897/njma.2020.ptxmehwo

Dissipative Energy Estimates for Non-Autonomous Stoke Equation

Peter Anthony^*

This paper derives the weighted energy equality for the linear nonautonomous stokes problem. This is a part of the process of solving Navier-Stokes equations to exclude the pressure term before it is determined in which function space solution (u,p) lies. A correction term vφ is introduced when the pressure term is excluded in the Navier-Stokes system and the energy estimate is computed; because t...

Mar, 2020 pp. 18-29

9

Research Article DOI: 10.67897/njma.2020.kvpcqt1g

On the dynamics of hepatitis B virus disease

Salisu Usaini^*, Sani Jibrin

Hepatitis B is a serious liver infection caused by hepatitis B virus (HBV). In this paper, we review the deterministic model of HBV proposed by Emerenini and Inyama in 2018 to carry out a rigorous mathematical analysis. The analysis of the model reveals that an endemic equilibrium exists in addition to the disease free equilibrium (DFE) point. The vaccinated reproduction number, Rv is derived and ...

Mar, 2020 pp. 30-45

10

Research Article DOI: 10.67897/njma.2020.e9pigtpt

Third Derivative Block Hybrid Obrechkoff Methods

B. I. Akinnukawe^*, O. A. Akinfenwa, S. A. Okunuga

This paper presents a family of Third Derivative Block Hybrid Obrechkoff Methods of Adams-type for solving stiff Initial Value Problems (IVPs). Multistep collocation techniques, with power series as basis function, are employed for the derivation of the continuous form of the hybrid methods. The continuous Hybrid Obrechkoff Methods are used to generate several implicit Hybrid Integrators that are ...

Mar, 2020 pp. 46-60

11

Research Article DOI: 10.67897/njma.2020.g5idry49

Evaluation of Some Heteroscedastic Models of Generator Plants Noise Production

A. J. Saka^*, I. Akeyede, A. Babawuya

Regression analysis requires the homoscedasticity condition to fit and predict time series observations. Basically, most real life data have a tendency to exhibit changing in variances which violates the homoscedasticity assumption. As such, it is appropriate to consider outlines that allow the variance to be subjected to the history of the data. This study therefore compare some het eroscedastic ...

Mar, 2020 pp. 61-72

12

Research Article DOI: 10.67897/njma.2020.fo4p2smg

On the Nilpotent Fuzzy Subgroups of the Abelian Type: Z₃₂ × Z₂ⁿ, n ≥ 5

S. A. Adebisi^*, M. Ogiugo, M. EniOluwafe

The extension of the finite nilpotent groups is now being diversified. As such, results up to two dimensions are now obtainable. In this paper, the fuzzy subgroups of the nilpotent abelian structure given by: Z32 × Z2n, the cartesian product of two abelian subgroups of orders 2n and 32 respectively for every integer n > 5 have been carefully studied and the explicit formulae for its number distinc...

Mar, 2020 pp. 73-78