A proper orthogonal decomposition-compact difference algorithm for plate vibration models

DOI10.1007/s11075-023-01544-7OpenAlexW4376618933MaRDI QIDQ6076954

Hong Wang, Huan-Zhen Chen, Qing Li

Publication date: 17 October 2023

Published in: Numerical Algorithms (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11075-023-01544-7

zbMATH Keywords

convergence analysisunconditional stabilitycompact difference schemePOD techniquesimply supported plate vibration model

Mathematics Subject Classification ID

Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems (65Mxx)

Cites Work

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• Optimized finite difference iterative scheme based on POD technique for 2D viscoelastic wave equation
• High order compact alternating direction implicit method for the generalized sine-Gordon equation
• Numerical solution of vibration problems in two space variables
• Two energy-conserving and compact finite difference schemes for two-dimensional Schrödinger-Boussinesq equations
• Fourth-order compact finite difference method for fourth-order nonlinear elliptic boundary value problems
• Nonlinear fourth-order elliptic equations with nonlocal boundary conditions
• Compact finite difference schemes with spectral-like resolution
• A reduced-order DG formulation based on POD method for the time-domain Maxwell's equations in dispersive media
• A reduced-order extrapolation central difference scheme based on POD for two-dimensional fourth-order hyperbolic equations
• Compact \(h^ 4\) finite-difference approximations to operators of Navier- Stokes type
• Fourth-order compact difference and alternating direction implicit schemes for telegraph equations
• Error analysis of a compact finite difference method for fourth-order nonlinear elliptic boundary value problems
• A reduced-order finite element method based on POD for the incompressible miscible displacement problem
• Compact difference scheme for two-dimensional fourth-order hyperbolic equation
• A reduced-order extrapolated finite difference iterative method for the Riemann-Liouville tempered fractional derivative equation
• A reduced-order energy-stability-preserving finite difference iterative scheme based on POD for the Allen-Cahn equation
• A POD-based reduced-order Crank-Nicolson/fourth-order alternating direction implicit (ADI) finite difference scheme for solving the two-dimensional distributed-order Riesz space-fractional diffusion equation
• A reduced-order extrapolated model based on splitting implicit finite difference scheme and proper orthogonal decomposition for the fourth-order nonlinear Rosenau equation
• A class of high-order compact difference schemes for solving the Burgers' equations
• Finite difference scheme based on proper orthogonal decomposition for the nonstationary Navier-Stokes equations
• A fast finite difference/RBF meshless approach for time fractional convection-diffusion equation with non-smooth solution
• Application of a fourth-order compact ADI method to solve a two-dimensional linear hyperbolic equation
• A reduced‐order modified finite difference method preserving unconditional energy‐stability for the Allen–Cahn equation
• A reduced‐order extrapolating space–time continuous finite element method for the 2D Sobolev equation
• Compact difference scheme for <scp>two‐dimensional fourth‐order</scp> nonlinear hyperbolic equation