Journal of Advances in Applied Mathematics

6

Authors: Hariwan Z. Ibrahim

The main purpose of the present paper is to introduce a new class of functions called almost β-γ-continuous functions which is contained in the class of almost β-continuous functions and contains the class of β-γ-continuous functions.

12

Authors: Mohammed Ibrahim Shaik, Suneetha Karna

The article is focused on the effects of Soret and chemical reaction on MHD free convection flow through a vertical porous surface in the presence of heat source, viscous dissipation and radiation. The dimensionless governing equations for this investigation are solved analytically using perturbation technique. Numerical evaluation of the numerical results is performed and the results for velocity, temperature and concentration profiles within the boundary layer are discussed and shown graphically. Also skin-friction coefficient due to velocity, Nusselt number coefficient due to temperature and Sherwood number coefficient due to concentration fields are evaluated.

15

Authors: Xiaoyang Zheng, Zhengyuan Wei, Jiangping He

This paper presents a new numerical approach, i.e., discontinuous Legendre wavelet Galerkin (DLWG) technique, to solve the Lane-Emden equations. This scheme incorporates Legendre wavelet into discontinuous Galerkin (DG) method, thus it has the advantages of both wavelet Galerkin (WG) method and DG technique. Specifically, the variational formulation of the equation and numerical fluxes are first derived and clearly calculated, then the Lane-Emden equations are converted into solutions to systems of equations. It is pointed that the proposed approach needs less storage space and execution time than the other methods because of the use of discontinuous elements producing lower dimensional, block-diagonal and sparse mass matrices. Furthermore, numerical experiments demonstrate the efficiency and applicability of this technique.

17

Authors: Blake James Huebner, Rhonda C Magel

Drugs within three categories used in hip replacement surgery are compared based on their association with total hospital costs and length of stay. The drugs are also compared based on their associations with proportions of early readmissions. Multiple regression, logistic regression, chisquare tests, and multiple comparison techniques are used. The combination of warfarin and enoxaparin is associated with the highest cost and length of stay of the anticoagulants studied. There is no clear regional anesthesia drug used associated with the highest hospital cost and longest length of stay. Tranexamic acid is found to be associated with a smaller proportion of blood transfusions, a shorter length of stay, with no significant difference in cost found and no significant difference found in the proportion of early readmissions.