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107 articles
21
Research Article

Error Estimates of the Fully Discrete Solution of Linearized Stochastic Cahn-Hilliard Equation

Ignatius N. NJOSEH*, H. I. OJARIKRE

We studied the finite element analysis of the linearized Stochastic Cahn-Hilliard equation. The Galerkin finite element method was used to discretize the given equation. Based on the finiteelements, the completely discrete approximation scheme was formulated by applying the backward Euler difference approximation in time. The completely discrete solution was interpreted.in terms of analytic semigr...

Jun, 2014 pp. 20-29
23
Research Article

New Generalizations of Hardy-type Inequalities on Time Scales

E. E. Aribike*, K. 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
24
Research Article

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
25
Research Article

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 ...

Aug, 2026 pp. 30-45 1 views
26
Research Article

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
28
Research Article

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

OLUSHEYE AKINFENWA*, ALI AHMED, 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
30
Research Article

Common Fixed Point Theorems for Five Self Mappings in a Complete Metric Space

I. A. Sani*, K. Rauf

In this research work, we use five different operators P, Q, R, T, and B, to show that there exists a common fixed point among the five operators and prove the uniqueness. Furthermore, we establish that the pairs (R,B),(R,Q),(R,T) and (R,P) are weakly compatible (that is they commute). The result extend and improve the work of Latpate and Dolhare (2017).

Apr, 2019 pp. 38−50 1 views