Browse our published research articles
In this paper, we generate some new integral inequali ties which are extensions of Sinnamon’s, Anthonio and Rauf Opial-type inequalities by means of convexity.
A diagram illustrating the relationship between three (3) competing predators who also compete amongst themselves and two independent prey is shown to see the nature of interdependence among the species. To this end, it is considered that the free population (without interaction) is the solution to the logistic equation of individual specie. A semi-analytical approach is developed for solving the ...
Over the years after the invention of mobile phones, people are still purchasing and using mobile phones today. However, different people prefer different attributes of mobile phones.The main purpose of this study was to identify the factors that influence consumer preferences on mobile phone purchase. The specific attributes examined in this study were brand, price, colour, quality and warranty. ...
In this paper, we present a reliable combination of the Laplace transform and Homotopy perturbation method to solve one-dimensional fourth-order parabolic linear partial differential equations with variable coefficients. Some cases of one-dimensional fourth-order parabolic linear partial differential equations are considered to illustrate the ability and reliability of the mixture of the Laplace t...
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 ...
This study investigates the steady flow of a third grade fluid in a porous half space medium. The problem is a non-linear, two-point boundary value problem on semi-infinite material. The analytical solution of the problem was obtained using Adomian Decom position Method (ADM) which is proved to be highly accurate and efficient as the series solution converges very fast. The series solution of ADM ...
Denote by E, E+ andEb the continuous dual, the sequential dual and the bounded dual, respectively, of the lcs(E,τ). Well-known is that, [1, 22.2, p.87][2. Proposition 2.5.7, p.107], f ∈ E ⇐⇒ kerf is closed. John Webb added that, [5, Proposition 1.9., p.345], f ∈ E+ ⇐⇒ kerf is sequentially closed. I, hereby, add that f ∈ Eb ⇐⇒ kerf is locally closed. The result substantially improves [4...
In this paper, the Homotopy Perturbation Method with Laplace Transform (LT-HPM) is employed in solving the Lane-Emden type of differential equations. Application is on linear and nonlinear Lane-Emden singular initial value problems. Com parison with exact solution shows considerable acceleration in convergence. The method is effective and easy to im plement. The results are also presented in tabul...
Let CIn be the semigroup of partial injective contraction mappings. The focus of this paper is to provide some properties subsemigroups of CIn which are semigroup of order reserving partial injective contraction mapping (OCIn) and semigroup of order decreasing partial injective contraction mapping (DCIn). The results on this work are combinatorial properties of subsemigroups of CIn which are both ...
In this paper, an L0- stable Second Derivative Block Integrator of uniform order seven is proposed for the numerical integration of stiff systems, including large stiff systems resulting from semi discretization of Parabolic differential equations. The conven tional 3-step second derivative backward differentiation formula is obtained from a continuous scheme while the additional methods are obtai...
