Characteristic block-centred finite difference methods for nonlinear convection-dominated diffusion equation

DOI10.1080/00207160.2015.1109641zbMath1365.65197OpenAlexW2251594999MaRDI QIDQ5737872

Xiao-Li Li, Hong-Xing Rui

Publication date: 30 May 2017

Published in: International Journal of Computer Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00207160.2015.1109641

zbMATH Keywords

convergenceerror estimatesnumerical experimenttwo-gridnonlinear convection-dominated diffusion equationcharacteristic block-centred finite difference

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15)

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Cites Work

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• A full discrete two-grid finite-volume method for a nonlinear parabolic problem
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• Numerical Methods for Convection-Dominated Diffusion Problems Based on Combining the Method of Characteristics with Finite Element or Finite Difference Procedures
• A kind of characteristic-splitting method for convection-dominated parabolic equations^*
• Mixed Finite Elements for Elliptic Problems with Tensor Coefficients as Cell-Centered Finite Differences
• A Two-Grid Finite Difference Scheme for Nonlinear Parabolic Equations
• Two-Grid Discretization Techniques for Linear and Nonlinear PDE<scp>s</scp>
• A Block-Centered Finite Difference Method for the Darcy--Forchheimer Model
• Two-Grid Characteristic Finite Volume Methods for Nonlinear Parabolic Problem
• The characteristic finite element alternating direction method with moving meshes for nonlinear convection-dominated diffusion problems

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