Volume 31, Issue 1 (December)

1

Research Article DOI: 10.67897/njma.2021.0ch8iftv

Comparison of Some Notions of Orthogonality in Banach Spaces

R. U. Kann^*, Kamilu RAUF, O. O. Bamisile, A. K. Adio, J. F. Adelodun

Orthogonality concept is a powerful mathematical tool that makes possible the formulation of some mathematical conjectures to prove some important theorems in Mathematics for the solution of real and imaginary problems. There are different notions of orthogonality in normed linear spaces. The concept of orthogonality has certain properties- symmetry, homogeneity, additivity and so on. In this work...

Jul, 2021 pp. 1−21 6 views 2 downloads

2

Research Article DOI: 10.67897/njma.2021.vgqryg5h

Development of a New One step Scheme for the Solution of Initial Value Problems in Ordinary Differential Equations

Richmond U. Kanu^*, Olabode O. Bamisile, A. K. Adio, Joseph F. Adeloun

This paper presents the development and implementation of an explicit rational one step method of order four for solving initial value problems of ordinary differential equations. The scheme has been derived through the combination of two interpolants namely, polynomial and rational transcendental form of expo nential and trigonometric functions. The method was used for the solution of four initia...

Jul, 2021 pp. 22−33 6 views 3 downloads

3

Research Article DOI: 10.67897/njma.2021.j9awmknz

Mathematical Modelling of an Insurer’s Portfolio and Reinsurance Strategy under the CEV Model and CRRA Utility

Udeme O. Ini^*, Ndipmong A. Udoh, K. N. C. Njoku, Edikan E. Akpanibah

One of the major problems encountered by most insurance com panies is portfolio management and payment of claims. Hence the study of optimal portfolio strategy (OPS) and optimal reinsurance strategy (ORS) becomes necessary. In this paper, the insurer is allowed to invest in a risk-free-asset and a risky-asset, where the risky-asset price follows the constant elasticity variance model and can buy p...

Jul, 2021 pp. 34−52 5 views 1 downloads

4

Research Article DOI: 10.67897/njma.2021.2zgwm0wh

Construction of Row-Column Designs from a Class of Nested Balanced Incomplete Block Designs

A. J. Saka^*, M. O. Adeleke, B. L. Adeleke

Designs that possess the ability to remove heterogeneity in the experimental material, have received considerable attention in the literature. By convention, the parameters of row-column designs constructed in this paper are v,b,p,q which respectively denote the number of treatments, rectangular blocks, rows and columns; and indeed, each of the rectangular blocks has nested within it, p rows and q...

Jul, 2021 pp. 53−63 5 views 1 downloads

5

Research Article DOI: 10.67897/njma.2021.2r7wuwhf

On the Convergence and Consistence of Rational Integrator for the Solution of Ordinary Differential Equation

O. A. Elakhe^*, A. O. Isere

This research work is concerned with the determination of solution to different classes of problems in Ordinary Differ ential Equations (ODEs). We derived an A0-Stable rational integrators for the solution of ordinary differential equations. We establish the convergence, consistency and the stability of our scheme in the interpolants of order m = 3, through the rational integrator. The stability a...

Jul, 2021 pp. 64−76 4 views 1 downloads

6

Research Article DOI: 10.67897/njma.2021.aiaqnf8x

Effect of Brownian Motion and Thermophoresis on Heat and Mass Transfer of a Three- Dimensional Casson Fluid Flow Over a Stretching Sheet with Velocity Slip

I. O. Abiala^*, A. S. Odesola, O. J. Fenuga

This paper provides a numerical investigation on the effect of Brownian motion on the heat and mass transfer of a steady laminar MHD three-dimensional, Casson fluid flow over a surface which is stretched linearly in two lateral direction with convective surface boundary conditions. The governing Partial Differential Equations of the flow are transformed into a highly nonlinear coupled Ordinary Dif...

Jul, 2021 pp. 77−96 5 views 2 downloads

7

Research Article DOI: 10.67897/njma.2021.ed5qp6k6

On Character Amenability of Fr´ echet Algebras

S. A. Ayinde^*, S. O. Agboola

In this paper we examine the notion of character amenability for Fr´echet algebras A (:= Arens-Michael algebras A) with emphasis on the continuous point derivation on A. We show that a Fr´echet algebra with a locally bounded approximate identity (lbai) and lo cally bounded approximate diagonal (lbad) is character amenable.

Jul, 2021 pp. 97−107 4 views 1 downloads

8

Research Article DOI: 10.67897/njma.2021.e35txbt7

A Bootstrap Approach to Cumulative Sum (CUSUM) and Exponentially Weighted Moving Average (EWMA) Control Charts for Monitoring Process Means

O. J. Braimah^*, S. A. Omotoso, O. Ikpotokin, E. M. Ogbeide

This research proposed a bootstrapped method for setting control boundaries and detecting out-of-control signals. The proposed approaches for determining control limits are designed to address the issues of distributional assumptions and out-of-control signal detection. It enables the setting of control limits, which can improve the detection of the out control signal, according to the results of ...

Jul, 2021 pp. 108−129 5 views 3 downloads

9

Research Article DOI: 10.67897/njma.2021.bhginlyk

Performance Analysis of GPON-FTTx

O. A. Tiamiyu^*, S. O. Onidare, A. O. Babatunde, A. O. Ajagbe, A. A. Ayeni, H. B. Akande

The demand for data services and necessary bandwidth have grown rapidly because of new telecommunications services like HDTV via the Internet, video on demand, etc. An increase in demand for broadband connection from private homes, companies, etc. leads to an increase in bandwidth demand in the access domain. Issues associated with copper cables being used for transmission are quite enormous, from...

Jul, 2021 pp. 130-148 5 views 1 downloads

10

Research Article DOI: 10.67897/njma.2021.ooexkrxb

Two Modified Hybrid Inertial Algorithms for Bregman Weak Relatively Nonexpansive Mapping in Banach Spaces

Enyinnaya Ekuma-Okereke^*, F. M. Okoro, Cletus Abhulimen

This paper formulates two modified hybrid algorithms with inertial parameter corresponding to Bregman distance function for approximating common fixed point of a Bregman weak relatively nonexpansive mappings in a Banach space. The inertial parameter of these algorithms involve a computation of the gradient of the given function at each iterates. We prove a strong convergence theorems for these alg...

Jul, 2021 pp. 149−174 5 views 1 downloads

11

Research Article DOI: 10.67897/njma.2021.2vjmed5s

Approximate Analytical Methods for the Solution of Fractional Order Integro-differential Equations

A. I. Alaje^*, M. O. Olayiwola, M. O. Ogunniran, J. A. Adedeji, K. A. Adedokun

In this paper, two numerical methods for obtaining the so lution of fractional order integro-differential equations were disscussed. The modified variational iteration method (MVIM) which is a modified general Lagrange multiplier method and the modified homotopy perturbation method (MHPM) were applied to solve both linear and non-linear cases of fractional order integro-differential equations. Alt...

Jul, 2021 pp. 175−190 5 views 1 downloads

12

Research Article DOI: 10.67897/njma.2021.cihdiogg

The Application of Runge-Kutta and Backward Differentiation Methods for Solving Transient Distribution in Markov Chain

S. O. Agboola^*, N. I. Badmus

The computation of state probability distributions at an arbitrary point in time, which in the case of a discrete-time Markov chain means finding the distribution at some arbitrary time step n de noted π(n), a row vector whose ith component is the probability that the Markov chain is in state i at time step n, is the iterative solution methods for transient distribution in Markov chain. The soluti...

Jul, 2021 pp. 191−201 7 views 1 downloads

13

Research Article DOI: 10.67897/njma.2021.f6u7s2sg

Reliable Communication for Vehicular Ad Hoc Network (VANET)

O. A. Tiamiyu^*, S. O. Onidare, A. O. Babatunde, A. O. Ajagbe, A. A. Ayeni, B. Micah

Nowadays, VANET’s usefulness in the safety of passengers and effective traffic enhancement has become a special area of study and research within the science community. The scientists and researchers have been doing their best to bring about a permanent solution to the reliability issues in VANET considering an increase in the number of vehicles, road con gestion, environmental pollution, fuel con...

Jul, 2021 pp. 202−222 4 views

14

Research Article DOI: 10.67897/njma.2021.uo5xwt4n

Heat and Mass Transfer on Mhd Oscillatory Flow of a Couple Stress Fluid in an Asymmetric Tapered Channel with Suction Effects

S. Magaji Abubakar^*, Joseph Kpop Moses, Isah Jibril

Heat and Mass Transfer on MHD Oscillatory Flow of a Couple Stress Fluid in Asymmetric Tapered Channel with suction effects. The temperatures prescribed at the channel walls are non-uniform. Magnetic field strength which is uniform is applied transversely to the channel. Dimensionless parameters are used to non-dimensionalized the governing equations to dimensionless form. Closed form solution meth...

Jul, 2021 pp. 223−233 3 views

15

Research Article DOI: 10.67897/njma.2021.eqebxei1

Analysis and Simulation of a Simplified Neural Network Model for Price Prediction in a Relation to the Inflationary Trend in Nigeria Markets

S. O. Momoh^*, H. O. Edogbanya, Z. O. Usman

This paper provides the concept of neural network model for price prediction is and what it can be used for as well as to solve a real data classification problem using the methods of Artificial Neural Network (ANN). However, in the application of ANN for predict ing the financial market, the use of technical analysis variables for price prediction is predominant. In this study, it was shown that ...

Jul, 2021 pp. 234−251 4 views

16

Research Article DOI: 10.67897/njma.2021.2b7ing39

A New Numerical Algorithm for the Solution of General Second Order Ordinary Differential Equations

Lawrence Osa Adoghe^*

This paper contains the formulation of an algorithm for solving general second order initial value problems of ordinary differential equations. This method is basically a continuous linear multistep (clmm) block method obtained from the collocation and interpo lation of a functional as basis function. Its implementation was on the evaluation of the main method and two additional methods of the blo...

Jul, 2021 pp. 252−266 3 views