Current Issue : April - June Volume : 2016 Issue Number : 2 Articles : 7 Articles
Chemical entropy generation and magnetohydrodynamic effects on the unsteady heat and fluid flow through a porous medium\nhave been numerically investigated. The entropy generation due to the use of a magnetic field and porous medium effects on\nheat transfer, fluid friction, and mass transfer have been analyzed numerically. Using a similarity transformation, the governing\nequations of continuity, momentum, and energy and concentration equations, of nonlinear system, were reduced to a set of\nordinary differential equations and solved numerically. The effects of unsteadiness parameter, magnetic field parameter, porosity\nparameter, heat generation/absorption parameter, Lewis number, chemical reaction parameter, and Brinkman number parameter\non the velocity, the temperature, the concentration, and the entropy generation rates profiles were investigated and the results were\npresented graphically....
Weak convergence of semi-Markov processes in the diffusive approximation scheme is studied in the paper. This problem is not new\nand it is studied in many papers, using convergence of random processes. Unlike other studies, we used in this paper concept of the\ncompensating operator. It enables getting sufficient conditions of weak convergence under the conditions on the local characteristics\nof output semi-Markov process....
This paper investigates the consensus problem of high-order continuous-time linear multi agent systems (LMASs) with multitype\nswitching topologies which include both consen susable and unconsensusable communication topologies. A linear transformation\nis introduced, which equivalently transforms the consensus problem into the stability problem of a corresponding switched system,\nalong with a necessary and sufficient condition to analyze the consensus problem. This paper is aimed at studying the impact of\na switching rule on communication topologies for consensus of LMASs. Based on the dynamic dwell time method, a sufficient\ncondition is derived for consensus of LMASs. It is shown that, with switching signals that satisfy this switching rule, LMASs\ncan achieve consensus under directed switching communication topologies. A numerical example is provided to illustrate the\neffectiveness of the theoretical results....
We complete the Solomon-Wilson-Alexia desâ��s mushy zone model (Solomon, 1982) for the one-phase Lam�´e-Clapeyron-Stefan\nproblem by obtaining explicit solutions when a convective or heat flux boundary condition is imposed on the fixed face for a semi in finite\nmaterial.We also obtain the necessary and sufficient condition on data in order to get the explicit solutions for both cases\nwhich is new with respect to the original model. Moreover, when these conditions are satisfied, the two phase-change problems\nare equivalent to the same problem with a temperature boundary condition on the fixed face and therefore an inequality for the\ncoefficient which characterized one of the two free interfaces of the model is also obtained....
In this paper, we present an SEIQRS epidemic model with non-linear incidence function. The proposed\nmodel exhibits two equilibrium points, the virus free equilibrium and viral equilibrium.\nThe model stability is connected with the basic reproduction number R0. If R0 < 1 then the virus\nfree equilibrium point is stable locally and globally. In the opposite case R0 > 1, then the model is\nlocally and globally stable at viral equilibrium point. Numerical methods are used for supporting\nthe analytical work....
The main goal of this paper is to study the motion of two associated ruled surfaces in Euclidean 3-space...
The pantograph equation is a special type of functional differential equations with proportional delay.The present study introduces a\ncompound technique incorporating the perturbation method with an iteration algorithm to solve numerically the delay differential\nequations of pantograph type.We put forward two types of algorithms, depending upon the order of derivatives in the Taylor series\nexpansion. The crucial convenience of this method when compared with other perturbation methods is that this method does not\nrequire a small perturbation parameter. Furthermore, a relatively fast convergence of the iterations to the exact solutions and more\naccurate results can be achieved. Several illustrative examples are given to demonstrate the efficiency and reliability of the technique,\neven for nonlinear cases....
Loading....