Difference schemes on nonuniform grids for the two-dimensional convection-diffusion equation

DOI10.1134/S0965542517120107zbMath1393.65041OpenAlexW2793957515MaRDI QIDQ1746368

Le Minh Hieu, Piotr P. Matus

Publication date: 25 April 2018

Published in: Computational Mathematics and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0965542517120107

zbMATH Keywords

maximum principleconvection-diffusion equationnonuniform gridsmonotone difference schemetwosided estimate

Mathematics Subject Classification ID

Maximum principles in context of PDEs (35B50) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Finite difference methods for boundary value problems involving PDEs (65N06) Second-order parabolic equations (35K10)

Related Items (3)

On the consistent two-side estimates for the solutions of quasilinear convection-diffusion equations and their approximations on non-uniform grids ⋮ A method for numerical simulation of haline convective flows in porous media as applied to geology ⋮ Numerical simulation of haline-convective flows with viscosity contrast in a porous medium

Cites Work

• Analysis of second order difference schemes on non-uniform grids for quasilinear parabolic equations
• On convergence of difference schemes for IBVP for quasilinear parabolic equations with generalized solutions
• Second-order accurate finite-difference schemes on nonuniform grids
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