Browse our published research articles
We replace an arbitrary sequence of positive real numbers by a sequence of positive integers in a characterization of local null sequence, and consequently procure an example of a separated locally convex space in which convergence is Mackey.
In this paper, we investigate the effect of suction/injection on the unsteady oscillatory flow through a vertical channel with non-uniform wall temperature. The fluid is subjected to a transverse magnetic field, and the velocity slip at the lower plate is taken into consideration. Exact solutions of the dimensionless equations governing the fluid flow are obtained, and the effects of the flow para...
In this paper, we begin the study of the transmission dynamics of a model of Ebola Virus disease (EVD) incorporating contact tracing and quarantine as control measures. Furthermore, we present the proof of the existence and uniqueness of the solution of the model.
Transient flow in water distribution networks is studied using the Gradient Method. In an attempt to obtain solutions rapidly, a computer program has been developed in FORTRAN 77. The computer program developed herein is general, easy to use, and allows a dynamic analysis of complex looped and open water distribution networks. Piezometric heads at nodes and flow rates in pipes are computed for wat...
Based on standard collocation technique, four (4) different orthogonal polynomials were used as basis functions in the numerical treatment of seventh (7th) order boundary value problems in Ordinary Differential Equations. The perfor mance of each of these polynomials as basis function in the trial solution was then compared. The results obtained from three examples showed that Chebyshev polynomial...
Integral inequality plays a big role in the study of differential,integral and partial differential equations. Gronwall inequalityis an important tool to obtain various estimates in the theoryof ordinary and stochastic differential equations. In this work,extension of Gronwall-Bellman-type inequalities are obtained.
This paper consists of fixed point results on ωorder Preserving partial contraction weakly compatible function. mapping as a Moreover, the results are established as semigroup of linear operator.
This paper seeks the numerical solution of integro-differential equations via the variation iteration decomposition method (VIDM). The mode of convergence of this method as applied toIntegro-differential equations is determined by the step-size parameter, h. The approximate solution converges for h 105+n where n is the number of iterations. Similarly, the method requires no discretization, linea...
We developed a consistent Lax-Friedrichs method for numerical solution of the seepage problem subject to some initial and boundary conditions. We also compared the result obtained using numerical method (Lax-Friedrichs) with the result obtained using Alternating Direction Implicit finite difference method (ADIS). The scheme developed was found to be stable for φ < 1, and unstable for φ ≥ 1. Since ...
In this paper, the effect of damping coefficients on Euler Bernoulli Beam subjected to distributed load is studied. The partial differential equation of order five was transformed to ordinary differential equation of order two using finite fourier sine transform. Finite difference method was used to solve the resulting differential equation of order two. It was found that the amplitude decreases a...
