Analysis on two approaches for high order accuracy finite difference computation

DOI10.1016/j.aml.2012.05.003zbMath1252.65132OpenAlexW2168686894MaRDI QIDQ714527

Xinyu Geng, Ruxin Dai, Jun Zhang

Publication date: 11 October 2012

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2012.05.003

zbMATH Keywords

numerical experimentsfinite difference schemeerror boundsRichardson extrapolationfourth order compact scheme

Mathematics Subject Classification ID

Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) Numerical solution of boundary value problems involving ordinary differential equations (65L10) Linear boundary value problems for ordinary differential equations (34B05) Finite difference and finite volume methods for ordinary differential equations (65L12)

Related Items (2)

A comparison of the finite difference and multiresolution method for the elliptic equations with Dirichlet boundary conditions on irregular domains ⋮ Unconditionally stable compact theta schemes for solving the linear and semi-linear fourth-order diffusion equations

Cites Work

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• Sixth order compact scheme combined with multigrid method and extrapolation technique for 2D Poisson equation
• Fast and high accuracy multigrid solution of the three dimensional Poisson equation
• Comparison of second- and fourth-order discretizations for multigrid Poisson solvers
• Fourth-order compact difference and alternating direction implicit schemes for telegraph equations
• A higher order compact finite difference algorithm for solving the incompressible Navier-Stokes equations
• A single cell high order scheme for the convection-diffusion equation with variable coefficients
• A high-order finite difference discretization strategy based on extrapolation for convection diffusion equations
• High‐order compact scheme for the steady stream‐function vorticity equations

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