Equivalence transformation for the filtration problem

DOI10.1016/S0898-1221(99)00071-1zbMath0943.35076OpenAlexW1999794606MaRDI QIDQ1962999

Hassan A. Zedan

Publication date: 20 January 2000

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0898-1221(99)00071-1

zbMATH Keywords

nonlinear diffusion equationsimilarity solutionsprincipal Lie algebragroup classification

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Flows in porous media; filtration; seepage (76S05) Geometric theory, characteristics, transformations in context of PDEs (35A30)

Related Items (3)

Preliminary group classification of the boundary layer equations of a thermodependent fluid ⋮ Direct approach for group classification for nonlinear filtration problem ⋮ Group classification for nonlinear filtration problem

Cites Work

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• Nonlocal symmetries. Heuristic approach
• Equivalence groups for balance equations
• Preliminary group classification of equations v t t=f (x,v x)v x x+g(x,v x)
• A simple method for group analysis and its application to a model of detonation
• Symmetry-based algorithms to relate partial differential equations: I. Local symmetries

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