A partial upwind difference scheme for nonlinear parabolic equations

DOI10.1016/0377-0427(89)90295-1zbMath0676.65094OpenAlexW2081646018MaRDI QIDQ1122953

M. C. Pandian

Publication date: 1989

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

Full work available at URL: https://doi.org/10.1016/0377-0427(89)90295-1

zbMATH Keywords

numerical examplelower and upper solutionsupwind schemesoscillatory solutionserror bounddiffusion processesdifference approximationM-matrixBurger's equationexplicit methodweighted difference schemecentered formnonlinear parabolic transport equationpartial upwind factorsupwind form

Mathematics Subject Classification ID

Nonlinear initial, boundary and initial-boundary value problems for linear parabolic equations (35K60) Finite difference methods for boundary value problems involving PDEs (65N06)

Related Items (4)

Improved localized radial basis function collocation method for multi-dimensional convection-dominated problems ⋮ A weighted-upwind generalized finite difference (WU-GFD) scheme with high-order accuracy for solving convection-dominated problems ⋮ Some switching schemes for quasilinear singular perturbation problems ⋮ Modeling of a diffusion with aggregation: rigorous derivation and numerical simulation

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• A weighted difference scheme and monotone iterative methods for quasilinear boundary value problems
• Operator inequalities
• An analysis of the Petrov - Galerkin finite element method
• On a conservation upwind finite element scheme for convective diffusion equations
• Nonlinear Singular Perturbation Problems and One Sided Difference Schemes
• A Numerical Conception of Entropy for Quasi-Linear Equations
• Monotone Difference Schemes for Singular Perturbation Problems

This page was built for publication: A partial upwind difference scheme for nonlinear parabolic equations