Matlab implementation of a moving grid method based on the equidistribution principle

DOI10.1016/j.amc.2009.07.034zbMath1179.65120OpenAlexW2085379534MaRDI QIDQ1045823

Alain Vande Wouwer, Philippe Saucez, Longin Some

Publication date: 16 December 2009

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

Full work available at URL: https://doi.org/10.1016/j.amc.2009.07.034

zbMATH Keywords

algorithmnumerical resultsBurgers equationfinite differencesmethod of linesmoving gridsFisher-Kolmogorov equationBuckley-Leverett equation

Mathematics Subject Classification ID

Method of lines for initial value and initial-boundary value problems involving PDEs (65M20)

Uses Software

• Matlab
• SOFEA
• bvp4c
• MOL
• Differentiation Matrix Suite
• Algorithm 731
• CWRESU
• CWRESX

Cites Work

• New high-resolution central schemes for nonlinear conservation laws and convection-diffusion equations
• A MATLAB implementation of upwind finite differences and adaptive grids in the method of lines
• Algorithm 731: A moving-grid interface for systems of one-dimensional time-dependent partial differential equations
• Solving ODEs with MATLAB
• Spectral Methods in MATLAB
• Upwinding in the method of lines
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