About: Finite difference method is a research topic. Over the lifetime, 21603 publications have been published within this topic receiving 468852 citations. The topic is also known as: Finite-difference methods & FDM.
TL;DR: In this article, the radial deformation and the corresponding stresses in a non-homogeneous hollow elastic cylinder rotating about its axis with a constant angular velocity are investigated, and the results indicate that the effect of inhomogeneity is very pronounced.
Abstract: In this paper the radial deformation and the corresponding stresses in a non-homogeneous hollow elastic cylinder rotating about its axis with a constant angular velocity is investigated. The material of the cylinder is assumed to the non-homogeneous and cylindrically orthotropic. The system of fundamental equations is solved by means of a finite difference method and the numerical calculations are carried out for the temperature, the components of displacement and the components of stress with the time t and through the thickness of the cylinder. The results indicate that the effect of inhomogeneity is very pronounced.
TL;DR: In this paper, a linear approximation was made to find out the dependence of equilibrium humidity ratio on solution temperature within a relatively narrow range of operating conditions which are usually encountered in practical dehumidification/regeneration processes.
TL;DR: In this paper, a simple correction technique of Paine, de Hoog and Anderssen reduces the error to one of O(k 3h4) for low values of k, which is the best known error for the regular Sturm-Liouville problem.
Abstract: The error in the estimate of thekth eigenvalue of a regular Sturm-Liouville problem obtained by Numerov's method with mesh lengthh isO(k6h4). We show that a simple correction technique of Paine, de Hoog and Anderssen reduces the error to one ofO(k3h4). Numerical examples demonstrate the usefulness of this correction even for low values ofk.
TL;DR: A new framework for the efficient and accurate solutions of three-dimensional dynamic coupled thermoelasticity problems is presented and a new distance criterion for adaptive selection of nodes in the GFDM simulations is examined.
TL;DR: In this article, a simple dispersion correction is introduced into the centered difference explicit time integration scheme for wave propagation problems, which introduces a change of the wave speed depending on local wave characteristics.