MATHEMATICAL SCIENCES
Year:2010 | Volume:4 | Issue:4|Papers Count:8

In this paper, the variational iteration method (VIM) is used to solve a class of singular boundary value problems. Three numerical examples are selected to illustrate the effectiveness and simplicity of the method. Numerical solutions obtained by the method are of high accuracy. Numerical results show that the method is a satisfactory method.

This paper classifies the integral curves of the y’ = (ax2 + bxy + cy2) = (dx2 + exy + fy2). A new approach has been given, instead of which, that has been described by J. Argemi, L. Lyagin, K.S.Sibirsky et al.

Location-Routing problems involve locating a number of facilities among can-didate sites and establishing delivery routes to a set of users in such a way that the total system cost is minimized. A special case of these problems is Hamiltonian p-Median problem (HpMP). This research applies the metaheuristic method of ant colony optimization (ACO) to solve the HpMP. Modifications are made to the ACO algorithm used to solve the traditional vehicle routing problem (VRP) in order to allow the search of the optimal solution of the HpMP. Regarding this metaheuristic algorithm a computational experiment is reported as well.

In this paper a bisexual Galton-Watson branching process is studied. Monte Carlo method is purposed to calculate the extinction probability. For certain class of processes {Zn} extinction probability is calculated and simulated, when initially population size (Z0) has a different value, then results of two methods are compared.

This paper is devoted to the study of locally Lipschitz semi-infinite programming problems in which the index set of the inequality constraints is assumed to be arbitrary. We introduce an analogous of the Arrow-Hurwitcz-Uzawa constraint qualification which is based on the Clarke subdifierential. Then, we derive a Karush-Kuhn-Tucker type necessary condition. Finally, interrelations between the new and the Slater constraint qualifications are investigated.

Non-polynomial sextic spline in o step points is used to solve special fifth or-der linear boundary value problems. Associated boundary formulas are developed.We compare our results with the results produced by non-polynomial sextic spline method [10]. However, it is observed that our approach produce better numerical solutions in the sense that maxjeij is a minimum.

The present investigation is to study the surface wave propagation in a swelling porous elastic half space under homogeneous inviscid liquid layer. The frequency equation is derive for both swelling porous (SP) and without swelling porous (elastic medium) (EL) medium. The dispersion curves giving the phase velocity and attenuation coefficient with wave number are plotted graphically to depict the effect of swelling porous half space under a homogeneous inviscid liquid layer. The amplitudes of displacement in both SP and EL medium are obtained and are shown graphically. Some special cases are also deduced from the present investigation.

The purpose of this research is to compute availability of the process of a paper production industry consisting of four subsystems. Mathematical formulation of the problem is carried out using probability considerations and the governing differential equations are solved using Runge-Kutta method of order four. Availability of the serial process in the paper production industry have been computed for various choice of failure and repair rates of subsystems of this plant.