Solution of convection--diffusion equation by the method of characteristics

DOI10.1016/j.cam.2003.12.003zbMath1062.65098OpenAlexW2137407903MaRDI QIDQ1877226

Ľubomír Baňas

Publication date: 16 August 2004

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.2003.12.003

zbMATH Keywords

convergencenumerical experimentsBurgers equationnonlinear convection-diffusion equationmethod of characteristicsEulerian-Lagrangian methods

Mathematics Subject Classification ID

Nonlinear initial, boundary and initial-boundary value problems for linear parabolic equations (35K60) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Numerical aspects of the method of characteristics for initial value and initial-boundary value problems involving PDEs (65M25)

Related Items (3)

Numerical approximations of chromatographic models ⋮ Analytical and numerical solutions for the nonlinear Burgers and advection-diffusion equations by using a semi-analytical iterative method ⋮ Derivation of the method of characteristics for the fluid dynamic solution of flow advection along porous wall channels

Cites Work

• Unnamed Item
• Unnamed Item
• Solution of contaminant transport with adsorption in porous media by the method of characteristics
• Numerical Methods for Convection-Dominated Diffusion Problems Based on Combining the Method of Characteristics with Finite Element or Finite Difference Procedures
• Solution of Degenerate Convection-Diffusion Problems by the Method of Characteristics
• An ELLAM Scheme for Advection-Diffusion Equations in Two Dimensions
• Error Analysis for Characteristics-Based Methods for Degenerate Parabolic Problems
• A summary of numerical methods for time-dependent advection-dominated partial differential equations
• A locally conservative Eulerian-Lagrangian finite difference method for a parabolic equation

This page was built for publication: Solution of convection--diffusion equation by the method of characteristics