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

DOI10.1134/S1063454120020107zbMath1460.65133OpenAlexW4285689393MaRDI QIDQ2227891

V. B. Surya Prasath, Le Minh Hieu, Dang N. H. Thanh

Publication date: 16 February 2021

Published in: Vestnik St. Petersburg University. Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s1063454120020107

zbMATH Keywords

maximum principleconvection-diffusion equationmonotone difference schemenon-uniform gridregularization principle

Mathematics Subject Classification ID

Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Finite difference methods for boundary value problems involving PDEs (65N06) Semilinear parabolic equations (35K58) Numerical solution of discretized equations for initial value and initial-boundary value problems involving PDEs (65M22)

Related Items (1)

Numerical modeling of hydrodynamic accidents: erosion of dams and flooding of territories

Cites Work

• On convergent finite difference schemes for variational-PDE-based image processing
• Difference schemes on irregular grids for equations of mathematical physics with variable coefficients
• On the consistent two-side estimates for the solutions of quasilinear convection-diffusion equations and their approximations on non-uniform grids
• Nonlinear and linear conservative finite difference schemes for regularized long wave equation
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