Using automatic differentiation to solve concentration dependent diffusion problems

DOI10.1016/j.amc.2003.09.018zbMath1063.65095OpenAlexW1966243904MaRDI QIDQ706731

Asai Asaithambi

Publication date: 9 February 2005

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

Full work available at URL: https://doi.org/10.1016/j.amc.2003.09.018

zbMATH Keywords

numerical examplesfree boundary problemfinite differencesautomatic differentiationsemidiscretizationinitial-value problemnonlinear diffusion problemsTaylor series expansionsemi-infinite domainConcentration dependent diffusionrecursive evaluation of Taylor coefficients

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Free boundary problems for PDEs (35R35) Method of lines for initial value and initial-boundary value problems involving PDEs (65M20)

Cites Work

• Unnamed Item
• Approximate solutions to a nonlinear diffusion equation
• Moving finite element methods for evolutionary problems. II: Applications
• Nonlinear diffusion of impurities in semiconductors
• Two-Dimensional Concentration Dependent Diffusion
• Viscous sheets advancing over dry beds
• Concentration-dependent diffusion. II. Singular problems

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