Second order monotone finite-difference schemes on non-uniform grids for multi-dimensional convection-diffusion problem with a boundary condition of the third kind

DOI10.1134/S1995080221070106zbMath1496.65113OpenAlexW3188630247MaRDI QIDQ2046417

Yanyan Li

Publication date: 18 August 2021

Published in: Lobachevskii Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s1995080221070106

zbMATH Keywords

convection-diffusion equationscientific computingmonotone difference schemenon-uniform gridthird boundary value problemregularization principledifference maximum principletwo-side estimate

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Diffusion (76R50) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) A priori estimates in context of PDEs (35B45) Finite difference methods for boundary value problems involving PDEs (65N06)

Cites Work

• Analysis of second order difference schemes on non-uniform grids for quasilinear parabolic equations
• Second-order accurate finite-difference schemes on nonuniform grids
• A linearized finite difference scheme for the Richards equation under variable-flux boundary conditions
• Compact high order accurate schemes for the three dimensional wave equation
• The Maximum Principle and Some of Its Applications
• The Maximum Principle and Some of Its Applications
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