«finite difference analysis»
۲۲٬۷۰۳ نتیجهFinite element analysis of a percutaneous aortic valve stent design
Aim: This paper discusses the design and Finite Element Analysis (FEA) of a Percutaneous Aortic Valve Stent. The aim of this study was to model a percutaneous aortic valve stent and subject it to finite element analysis. The design process was carried out to meet the functional a
Biomechanical comparison using finite element analysis of different screw configurations in the fixation of femoral neck fractures
In this research, biomechanical behaviors of five different configurations of screws used for stabilization of femoral neck fracture under axial loading have been examined, and which configuration is best has been investigated. A point cloud was obtained after scanning the human
Uniform Error Estimates of Finite Difference Methods for the Nonlinear Schrödinger Equation with Wave Operator
We establish uniform error estimates of finite difference methods for the nonlinear Schrödinger equation (NLS) perturbed by the wave operator (NLSW) with a perturbation strength described by a dimensionless parameter ε (ε ∈ (0, 1]). When ε → 0+, NLSW collapses to the standard NLS
An optimal 25-point finite difference scheme for the Helmholtz equation with PML
In this paper, we analyze the defect of the rotated 9-point finite difference scheme, and present an optimal 9-point finite difference scheme for the Helmholtz equation with perfectly matched layer (PML) in two dimensional domain. For this method, we give an error analysis for th
Analysis of stability and accuracy of finite-difference schemes on a skewed mesh
Numerical stability and accuracy of finite-difference schemes on a skewed non-uniform mesh are investigated to provide guidelines for mesh design and for devising appropriate solution methods when mesh skewness is unavoidable. In the current analysis, a linear advection–diffusion
Optimal Error Estimates of Compact Finite Difference Discretizations for the Schrödinger-Poisson System
We study compact finite difference methods for the Schrödinger-Poisson equation in a bounded domain and establish their optimal error estimates under proper regularity assumptions on wave function ψ and external potential V(x). The CrankNicolson compact finite difference method a
Asymptotic analysis of finite difference methods
If we consider a finite difference method simply as a set of equations containing a small parameter (the grid spacing), it is evident that the tools of asymptotic analysis can give us useful information about the method. The applicability of this approach for studying consistency
Superconvergence of the Velocity in Mimetic Finite Difference Methods on Quadrilaterals
Abstract. Superconvergence of the velocity is established for mimetic finite difference approximations of second-order elliptic problems over h2-uniform quadrilateral meshes. The superconvergence result holds for a full tensor coefficient. The analysis exploits the relation betwe
Analysis of finite difference schemes for unsteady Navier-Stokes equations in vorticity formulation
In this paper, we provide stability and convergence analysis for a class of finite difference schemes for unsteady incompressibleNavier-Stokes equations in vorticity-stream function formulation. The no-slip boundary condition for the velocity is converted into local vorticity bou
Finite difference methods and a fourier analysis for the fractional reaction-subdiffusion equation
Various fields of science and engineering deal with dynamical systems that can be described by fractional partial differential equations (FPDE), for example, systems biology, chemistry and biochemistry applications due to anomalous diffusion effects in constrained environments. H