11351 research outputs found
Sort by
Stability of an Inhomogeneous Damped Vibrating String
Get PDFIn this paper, we consider the vibrations of an inhomogeneous damped string under a distributed disturbing force which is clamped at both ends. The well-possedness of the system is studied. We prove that the amplitude of such vibrations is bounded under some restriction of the disturbing force. Finally, we establish the uniform exponential stabilization of the system when the disturbing force is insignificant. The results are established directly by means of an exponential energy decay estimate
A Novel Approach for Solving Burger’s Equation
Get PDFThe paper presents a new analytical method called Variational Homotopy Perturbation Method (VHPM), which is a combination of the well-known Variational Iteration method (VIM) and the Homotopy Perturbation method (HPM) for solving the one-dimensional Burger’s equation. Two test problems are presented to demontrate the efficiency and the accuracy of the proposed method.The numerical solutions obtained are compared with the exact solution. Furthermore, this method does not require spatial discretization or restrictive assumptions and is free from round-off errors and therefore reduce the numerical computation significanly. The results reveal that the Variational Homotopy Perturbation Method is very effective and convenient to solve nonlinear partial differential equation
Integrability and Exact Solutions for a (2+1)-dimensional Variable-Coefficient KdV Equation
Get PDFBy using the WTC method and symbolic computation, we apply the Painlevé test for a (2+1)-dimensional variable-coefficient Kortweg-de Vries (KdV) equation, and the considered equation is found to possess the Painlevé property without any parametric constraints. The auto-Bǎcklund transformation and several types of exact solutions are obtained by using the Painlevé truncated expansion method. Finally, the Hirota’s bilinear form is presented and multi-soliton solutions are also constructed
Health, work intensity, and technological innovations
No full textWork significantly affects human life and health. Overworking may decrease the quality of life and cause direct economic losses. Technological innovations promote the modernization of firms\u27 capital and lead to the improvement of labor productivity in the workplace. This paper investigates the optimal individual choice of work intensity under improving technology embodied in a new equipment. The balanced growth trajectories are obtained and analyzed to find their impact on the work-leisure balance problem and links between the optimal choice of work intensity and the rate of embodied technological change. © 2014 World Scientific Publishing Company
Drug loading, drug release and in vitro degradation of poly(caprolactone) electrospun fibers
No full textIn this study, model drug of Fluorescein Isothiocyanate-Dextran (FD70S) was incorporated into poly(caprolactone) (PCL) electrospun fibers. Drug loading was successful and drug release was measured by using microplate reader. The result showed FD70S was successfully released from PCL electrospun fibers. In order to investigate the biodegradable ability of PCL electrospun fibers, in vitro degradation was investigated for 107 days by immersing PCL electrospun fibers in phosphate buffer saline (PBS) which mimics extracellular fluid. Electrospun fibers degraded slowly and were not fully degraded. Fibers became more random and the average fiber diameters decreased from 350 nm to 240 nm after degradation of 107 days
Panther - February 2014 - Vol. XCIV No. 12
Get PDFhttps://digitalcommons.pvamu.edu/pv-panther-newspapers/1405/thumbnail.jp
Root distribution of sweet corn (Zea mays) as affected by manure types, rates and frequency of applications
No full textManure applications can change soil porosity, bulk density, hydraulic conductivity, and nutrient availability, thus affecting root growth and distribution. Information on root distribution is important to developing more efficient irrigation strategies that meets crop water requirement and reduce excess irrigation. Two field experiments were conducted in Hawaii to study the effect of 1) types, 2) rates, and 3) frequency of manure application on root distribution of sweet corn (Zea mays cv. Supersweet 10). The studied variables were roots density, root percentage at 0-15 cm and 16-30 cm depths, and total dry roots per plant. The application of manures and their rates significantly increased the values of all the studied variables except the root percentage at 16-30 cm depth which was highest in the control treatment and was decreased by increasing the application rate. Two-time manure application significantly increased the values of the studied variables at both depths, except for the root percentage at the 16-30 cm depth which decreased under the two time application compared to the one-time application
Sol-gel synthesis, characterization and water vapor adsorption properties of 1,1′-(1,6-hexanediyl)-bis(imidazolium)dichloride-silica hybrid material
No full text1,1′-(1,6-hexanediyl)-bis(imidazolium)dichloride-silica hybrid material was prepared in 90 % yield by ammonia catalyzed sol-gel condensation of 1,1′-(1,6-hexanediyl)-bis[3-(3-triethoxysilylpropyl)-imidazolium] dichloride in aqueous ethanol. This novel ionic liquid-silica hybrid material can adsorp 27 % w/w water vapor in 90 min at room temperature and atmospheric pressure. This is a higher water adsorption capacity and rate than commercial desiccant Drierite which showed only 16 % w/w of water vapor adsorption and required 10 h to reach the maximum adsorption under identical conditions. The new adsorbent could be reused for five cycles without any significant loss in activity after regeneration by heating at 110 C, for 24 h. © 2013 Springer Science+Business Media New York