Volume 32, Issue 1 (June)

Articles in this Issue

21 articles
1
Research Article DOI: 10.67897/njma.2022.e25u3qnn

Multifunctional Opial-type Integral Inequalities

Kamilu RAUF*, O. Anthonio, A. Abolarinwa, E. E. Aribike

Some new estimates on integral inequalities of Opial-type for multifunctions are established through some analytic methods. In special cases, the results derived in this paper yield some recently obtained results on Opial’s inequality. Moreover, more results of Opial-type inequality which extend some known results in the literature are also derived.

Jun, 2022 pp. 1-13 7 views 3 downloads
2
Research Article DOI: 10.67897/njma.2022.5aq7r7yb

A Three-Step Algorithm for Solving Second Order Ordinary Differential Equations

L. A. Ukpebor*

A linear Multistep Method (LMM) of step length of three with six integrators and uniform order four through interpolation and collocation procedures were developed. The integrators are implemented on a Vanderpol’s oscillator Problem, stiff problem and, exponential problems. The results acquired compares satisfactorily with the existing method in the literatures. The properties of the integrators a...

Jun, 2022 pp. 14-21 4 views 1 downloads
3
Research Article DOI: 10.67897/njma.2022.tl3im48l

Some Generalizations of Opial-type Inequalities on Time Scales

E. E. Aribike*, O. Anthonio, S. A. Aniki, Kamilu RAUF

Opial-type inequalities has grown into a substantial field with many applications in proving the existence and uniqueness of solutions of initial and boundary value problems for differential equations. We shall obtain Hua’s inequality on time scales The methodology employed in this paper is the H¨older’s inequality for convex functions.

Jun, 2022 pp. 22-30 7 views 4 downloads
4
Research Article DOI: 10.67897/njma.2022.9b6frnnz

An Optimization of Inventory in Retrospect of the Directorate of Physical Planning in Ambrose Alli University Ekpoma, Edo State

E. Egbon*, F. M. Okoro, J. O. Braimah

This study proposes a mathematical model for the Directorate of Physical Planning’s inventory materials at Ambrose Alli University in Ekpoma, Edo State. To minimize the total cost for the year 2015, the study uses the linear programming solver (MATLAB’s linprog solver). To give the most efficient inventory among the products purchased, as well as the ideal minimum cost for the inventory, program c...

Jun, 2022 pp. 31-46 4 views 1 downloads
5
Research Article DOI: 10.67897/njma.2022.1infh7eq

The Stability of Order m = 4 Rational Integrator for the Solution of Ordinary Differential Equation

F. Ebhohimen*, O. Anetor

In this article, investigation is carried out on a rational interpolation scheme of order m = 4, through two major processes of converting the resulting rational function to a complex outlook, and then, transforming the complex function to a polar form, from which the stability region of the method is constructed in the form of Jordan Curve. The regions of stability and instability as well as the ...

Jun, 2022 pp. 47-55 4 views 1 downloads
6
Research Article DOI: 10.67897/njma.2022.jireubgc

Some Combinatorial Results on Star-Like Transformation Semigroup T αω∗ n

Garba Risqot Ibrahim*, Olasunkanmi Jafar Lawal, Sulaiman A. Akinwunmi, G. N. Bakare, Adeshola A. Dauda

Let Xn be a finite set and star-like full transformation semigroup T αω∗ n be a semigroup of Full Transformation semigroup Tn of Xn. Let Height of α ∗ be H+(α ∗ ) = | Imα∗ |, Fixed point of α ∗ be F(α ∗ ) = | {x ∈ X : xα∗ = x} |, Idempotent of α ∗ be | F(α ∗ ) |=| Imα∗ | , Collapse of (α ∗ ) be | ∪{tα−1 : t ∈ T αω∗} | and Relapse of (α ∗ ) be | n − C +((α ∗ )) | and also, Green’s relation of semig...

Jun, 2022 pp. 56-67 6 views 2 downloads
7
Research Article DOI: 10.67897/njma.2022.ebv3gty7

Some Properties of a Certain Class of Analytic Functions Defined by a Convolution Operator

Aminat O. Ajiboye*, K. O. Babalola

In this work, we study some properties of subclass B α n+1(β) of the class of analytic functions defined by a convolution operator. In fact, this class generalizes the class of Yamaguchi functions. Thereafter, some geometric properties such as inclusion, Fekete-Szeg¨o functional and upper bounds for some Hankel determinants are presented. Indeed, results from some of our corollaries and remarks sh...

Jun, 2022 pp. 68-79 5 views 1 downloads
8
Research Article DOI: 10.67897/njma.2022.hfxgvhz7

Stability of Solutions for a Class of Second Order Nonlinear Integro-Differential Equations with Delay

Daniel Oluwasegun Adams*, Rasheed A ADETONA, Musiliu Tayo Raji, Samson Abidemi Oni, Akinwale Lewis Olutimo

In this paper, we investigate the stability of solutions for a class of second order nonlinear delay integro-differential equations by using a suitable Lyapunov-Krasovskiˇi functional with sufficient conditions to establish some new results. An example is given to show the validity of the results obtained.

Jun, 2022 pp. 80-89 6 views 2 downloads
9
Research Article DOI: 10.67897/njma.2022.bzn36s9k

Modelling Thermo-physical Effects of Heat and Mass Transfer in Unsteady MHD Viscoelastic Fluid Flow in inclined Porous Media

S. A. Amoo*, I. M. Daniel, A. O. Amoo

This research presents the modelling thermo physical effects of heat and mass transfer in unsteady Magnetohydrodynamics MHDviscoelastic fluid flow in inclined porous media. The resulting governing boundary layer equations were non-linear and coupled form of partial differential equations, and they were solved by using fourth order Runge-Kutta integration scheme with Newton Raphson shooting method....

Jun, 2022 pp. 90-103 7 views 2 downloads
10
Research Article DOI: 10.67897/njma.2022.yw3rpfga

Application of Laplace Beltrami Equation to Solve Vortex Flow in a Closed Cylinder with Dirichlet Boundary Condition

S. O. Momoh*, S. A. Aniki, U. F. Amoo

The guiding equation here happens to be the Laplacian for Cylinder, the equation was obtained by using the known definition of differential operator for Cylindrical coordinates (rho, theta, z), it was then decomposed into three Partial Differential Equation (PDE) by variable separable methods and solved independently to obtain the general solution. Finally, contour plots of the solution describing...

Jun, 2022 pp. 104-116 5 views 1 downloads
11
Research Article DOI: 10.67897/njma.2022.4rcm0i4v

Malicious PDF Detection Using Support Vector Machine

G. B. Balogun*, P. F. Adinoyi, J. B. Awotunde, M. Abdulraheem, I. D. Oladipo

The aim of this study is to develop a system that can detect and classify the Portable Document Format (PDF) as malware or benign document based on its features, using the Support Vector Machine (SVM) as an underlying model. Based on feature extraction and the Support Vector Machine technique, a method is proposed for efficiently detecting PDFs with harmful payloads. It was proved in this study th...

Jun, 2022 pp. 117-135 5 views 1 downloads
12
Research Article DOI: 10.67897/njma.2022.gc4d3wil

Systolic Array Residue Number System Based Smith-Waterman Algorithm

Hassan Kehinde Bello*

Smith-waterman algorithm (SWA) is widely used in computational biology. It is regarded as the most accurate sequence alignment algorithm on state-of-the-art (SOA). However, the algorithm is devoid of highspeed in term of performance. Evidence showed that various platforms have been used to implement the algorithm in order to improve the poor speed of operation, such as systolic array (SA) implemen...

Jun, 2022 pp. 136-151 4 views 1 downloads
13
Research Article DOI: 10.67897/njma.2022.j4wnhump

Development of an improved numerical integration scheme, its algorithm and application in the least square approximation

A. Y. Issah, K. Issa*, A. S. Olorunnisola

In this paper, we derived an improved numerical integration for finding the approximation of functions. An algorithm was written for the implementation in the least square approximation via shifted Gegenbauer polynomials and subsequently, the accuracy was tested on some selected examples to show the suitability of the scheme. All the computations were done using Matlab.

Jun, 2022 pp. 152-162 6 views 3 downloads
14
Research Article DOI: 10.67897/njma.2022.ccbh8a6f

Estimates for some Classes of Analytic Functions Associated with Pascal Distribution Series, Error Function, Bell numbers and q-Differential Operator

E. A. Oyekan*, A. O. Lasode

In this paper, we considered two classes of analytic functions. The classes are associated with Pascal distribution series, error function, Bell numbers and q-derivative operator. Some early coefficient estimates for the classes were established and some interesting nexus between our estimates and that of some earlier known classes were presented. 

Jun, 2022 pp. 163-173 5 views 1 downloads
15
Research Article DOI: 10.67897/njma.2022.0d1trgpa

A Class of Two-Step Obrechkoff-Type of Hybrid Block Method for Solving Initial Value Problems in Ordinary Differential Equations

L. A. Ukpebor*, L. O. Adoghe, I. E. Airemen

In this paper, we derived A Class of Two-Step Obrechkoff-Type of Hybrid Block Method for Solving Initial Value Problem (IVP) in Ordinary differential equations (ODEs) by collocation and interpolation techniques. The analysis of the proposed scheme shows that it is zero stable, convergent and consistent. Numerical examples are also presented to show that the method compared favorably with results o...

Jun, 2022 pp. 174-188 4 views 1 downloads
17
Research Article DOI: 10.67897/njma.2022.u5vfaaj5

Numerical Solution of a Generalized Fractional Burgers Diffusion Equation with Mamadu-Njoseh Polynomials

Emmanuel O. Oduselu-Hassan*, Ignatius N. Njoseh

In this paper, we consider the numerical solution of a generalized fractional Burgers diffusion equation (GFBE). A fractional variational iteration scheme coupled with Mamadu-Njoseh polynomials was developed to effectively solve the GFBE. MAPLE 18 software was used to carry out numerical simulations and approximations. Resulting numerical evidences show that the procedures converges rapidly to the...

Jun, 2022 pp. 202-215 5 views 2 downloads
18
Research Article DOI: 10.67897/njma.2022.9t4m6gdx

Collocation Approach for the Solution of Fredhlom Integro-Differential Equation of Fractional Order

Ajileye Ganiyu, James A. Adewale*, Ayinde M. Abdullahi

In this work, the collocation method is developed to solve the fractional integro-differential equations using the Caputo sense. The integral form of the problem is obtained and transformed into a system of linear algebraic equations. Computed results are solved using Maple 18 in order to show the efficiency and accuracy of the method.

Jun, 2022 pp. 216-233 3 views
19
Research Article DOI: 10.67897/njma.2022.mbbgqq1o

Incorporating Prior Beliefs into the Construction of Prior Distribution of the Parameters: A: A Survival Analysis Approach

Juliana I. Consul*

Bayesian inference requires the combination of prior experience and the observed data (in the form of the likelihood). There is the need to discuss the specification of prior information about the model parameters. This research has built a structure for the joint prior distribution depending on the type of covariate in the context of a general linear model. Some issues associated with prior elici...

Jun, 2022 pp. 234-249 3 views
20
Research Article DOI: 10.67897/njma.2022.xqua586y

New Approximate Method for Systems of Non-linear Volterra Integro-Differential Equations

M. D. Aloko*, D. A. Johnson, J. A. Osilagun

In this paper, we present a new iterative scheme for approximating nonlinear systems of Volterra-integro-differential equations. The algorithm relies on the principles of the Variational Iteration Method (VIM). The modified method provides successive approximations by variational theory, decomposition techniques, and correction functional on Lagrange’s multiplier. In comparing with numerous result...

Jun, 2022 pp. 250-272 3 views
21
Research Article DOI: 10.67897/njma.2022.s8bdqmf7

On the Stability Analysis of a Sixth-Stage Fifth- Order Runge-Kutta Method for Solving Initial Value Problems in Ordinary Differential Equations

G. U. Agbeboh, B. C. Ononogbo*, M. E. Ehiemua

This article investigates the stability of a sixth-stage, fifthorder Runge-kutta method which had already been derived in our previous results. The method is subjected to the test equation given as y 0 = λy, where a complex constant is λ, and the resulting expansion and algebraic manipulations were done with the help of Maple-18 and Matlab package, to ease the simplification of the computation. Th...

Jun, 2022 pp. 273-286 4 views 1 downloads
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