Fourth order compact FD methods for convection diffusion equations with variable coefficients

DOI10.1016/j.aml.2021.107413OpenAlexW3161316917MaRDI QIDQ2235015

Xinlong Feng, Fenghua Tong, Zhilin Li

Publication date: 19 October 2021

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

Full work available at URL: https://doi.org/10.1016/j.aml.2021.107413

zbMATH Keywords

integrating factor4th order compact schemeconvection and diffusion PDEs

Mathematics Subject Classification ID

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) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Finite difference methods for boundary value problems involving PDEs (65N06) Initial value problems for second-order parabolic equations (35K15)

Related Items (2)

High Order Compact Schemes for Flux Type BCs ⋮ Semi-discretized numerical solution for time fractional convection-diffusion equation by RBF-FD

Cites Work

• Unnamed Item
• High-order compact exponential finite difference methods for convection-diffusion type problems
• Richardson extrapolation for a convection--diffusion problem using a Shishkin mesh
• A family of fourth-order and sixth-order compact difference schemes for the three-dimensional Poisson equation
• Numerical Methods for Convection-Dominated Diffusion Problems Based on Combining the Method of Characteristics with Finite Element or Finite Difference Procedures
• On high-order compact difference schemes

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