Twizell, E.H. and S.A. Matar, Numerical methods for computing the eigenvalues of linear fourth-order boundary-value problems, Journal of Computational and Applied Mathematics 40 (1992) 115-125. Novel finite-difference methods are developed for approximating the cigenvalues of three types of linear, fourth-order, two-point, boundary-value problems. The fourth-order differential equation is trans...

A field-theoretic description of the critical behaviour of the weakly disordered systems is given. Directly, for three-and two-dimensional systems a renormal-ization analysis of the effective Hamiltonian of model with replica symmetry breaking (RSB) potentials is carried out in the two-loop approximation. For case with 1-step RSB the fixed points (FP's) corresponding to stability of the various...

We consider the oxygen diffusion equation. Oxygen diffusion in a sike cell with simultaneous absorption is an important problem. Oxygen diffusion has a wide range of medical applications. Numerical solutions of its partial differential equation are obtained by extrapolation method with the vector of values V approximating to C (diffusion) at the mesh points. And the results gave a good agreemen...

The paper addresses numerical time-domain methods for modeling of active and passive dispersive media, needed for simulations of plasmonic metamaterials. The proposed algorithms differ from published results, as our models employ more general formalisms and are more computationally efficient. The frequency dispersion of the permittivity is considered as an arbitrary Pade approximant, its numeri...

Background. Sharp HealthCare, in partnership with the University of Arizona College of Nursing, is conducting a study to evaluate the impact of a community hospital computerized provider order entry (CPOE) system on adverse drug event (ADE) outcomes. The medication safety arm of the study uses an observation methodology to detect medication safety events (MSE) that are subsequently evaluated to...

This paper derives new formulations for designing dominant pole placement based proportionalintegral-derivative (PID) controllers to handle second order processes with time delays (SOPTD). Previously, similar attempts have been made for pole placement in delay-free systems. The presence of the time delay term manifests itself as a higher order system with variable number of interlaced poles and...

The material interface between two fluids of different densities is unstable under acceleration by a shock wave. This phenomenon is known as the Richtmyer-Meshkov instability. Theories have failed to provide a quantitatively correct predictions for the growth rates of the unstable interface. Recently the authors have developed a quantitative theory based on the methods of Padé approximations an...

the work  addressed in this paper is a comparative study between convergence of the  acceleration techniques, diagonal pad'{e} approximants and shanks transforms, on homotopy analysis method  and adomian decomposition method for solving  differential equations of integer and fractional orders.