On the consistent two-side estimates for the solutions of quasilinear convection-diffusion equations and their approximations on non-uniform grids

DOI10.1016/j.cam.2017.09.020zbMath1432.65123OpenAlexW2755387566MaRDI QIDQ1636803

Le Minh Hieu, Dmitriy Poliakov, Piotr P. Matus

Publication date: 12 June 2018

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cam.2017.09.020

zbMATH Keywords

maximum principlemonotone difference schemequasilinear convection-diffusion equationnon-uniform gridsecond order of approximation

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)

Related Items (1)

Second order monotone difference schemes with approximation on non-uniform grids for two-dimensional quasilinear parabolic convection-diffusion equations

Cites Work

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• 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
• A posteriori estimates for partial differential equations
• Unconditionally monotone schemes for unsteady convection-diffusion problems
• Difference schemes on nonuniform grids for the two-dimensional convection-diffusion equation
• Consistent two-sided estimates for the solutions of quasilinear parabolic equations and their approximations
• Discrete maximum principles for nonlinear parabolic PDE systems
• Discrete Maximum Principle and Adequate Discretizations of Linear Parabolic Problems

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