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193 articles
31
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 12 views 7 downloads
32
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*, O. 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 9 views 4 downloads
34
Research Article DOI: 10.67897/njma.2019.aoxif6o6

New Generalizations of Hardy-type Inequalities on Time Scales

E. E. Aribike*, Kamilu RAUF

This paper consists of new generalizations of Hardy-type.integral inequalities and its reversed form on time scales byusing modified Jensen's inequality via convexity. Furthermore,multidimensional Hardy-type inequalities with weightFunctions on time scales are also investigated and proved.

Dec, 2019 pp. 24-35 3 views 4 downloads
35
Research Article DOI: 10.67897/njma.2018.090kfe5v

Application of Variational Iteration Method to Linear and Non-Linear Stiff Differential Equations

M. O. Olayiwola*

In this paper, the variational iteration method (VIM) is usedto solve linear, non-linear and system of sti di erentialequations numerically. The numerical solutions obtained isin good agreement with the exact solutions of problems un-der investigations. The method is a promising tool for thesolution of stiff differential equations for the three systems.

Jun, 2018 pp. 28-41 3 views 7 downloads
36
Research Article DOI: 10.67897/njma.2025.7lydn2ax

On Polynomials Derived from Topological Indices of Special Graphs

Aliyu Ibrahim Kiri*, Aliyu Suleiman, Bilkisu Tijjani

Polynomials associated with topological indices are defined from graph-based indices with their coefficients and exponents derived from these values. This paper presents formulae for such polynomials for cycle Cn, wheel Wn, path Pn, complete graph Kn and complete bipartite graph Km,n. It is further shown that a graph is a closed path if and only if its first and second Zagreb indices coincide.

Jun, 2025 pp. 29-42 15 views 8 downloads
37
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 14 views 5 downloads
38
Research Article DOI: 10.67897/njma.2017.8vguaycb

An Analytical Approach for Predicting Atmospheric Concentration of Air Pollutants

A. M. Jibrin*, R. O. Olayiwola, A. T. Cole, M. D. Shehu

Many forms of atmospheric pollution affect human health and the environment at levels from local to global. These contaminants are emitted from diverse sources, and some of them react together to form new compounds in the air. This paper presents a three-dimensional transient equation describing the pollutant transport in the atmosphere. We assume the atmosphere is subjected to pollutant due to th...

Sep, 2017 pp. 30−44 13 views 8 downloads
39
Research Article DOI: 10.67897/njma.2015.azg40sil

CONJUGACY OF A SUBGROUP OF SYMMETRIC GROUP

Adeniji A. O*

This paper studied conjugacy on a subgroup that is not invari ant generated by plain hunting and other related properties.

Dec, 2015 pp. 30−38 12 views 5 downloads
40
Research Article DOI: 10.67897/njma.2014.61w20d13

A Two Step Lo- Stable Second Derivative Hybrid Block Method for Solution of Still Initial Value Problems

O. A. Akinfenwa*, Ali A., OSUNKAYODE KABIR

We present a two step Lo-stable second derivative hybrid block method of order eight for the direct solution of still Initial Value Problems (IVPs). The main method and additionalmethods are obtained from the same continuous scheme derived using interpolation and collocation technique to form the block method. The stability properties of the block methodis discussed via a single matrix equation. T...

Jun, 2014 pp. 30-38 3 views 4 downloads