Can a nonlinearity be neglected? An example

DOI10.1016/J.MCM.2005.01.026zbMath1074.65108OpenAlexW2029242713MaRDI QIDQ2486779

W. E. Schiesser, G. W. Griffiths, Philippe Saucez, Alain Vande Wouwer

Publication date: 17 August 2005

Published in: Mathematical and Computer Modelling (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.mcm.2005.01.026

zbMATH Keywords

convergencenumerical exampleserror analysisMethod of linesNonlinear effectsPDE reactor modelssystm of hyperbolic-parabolic equations

Mathematics Subject Classification ID

PDEs of mixed type (35M10) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Method of lines for initial value and initial-boundary value problems involving PDEs (65M20) Finite difference methods applied to problems in thermodynamics and heat transfer (80M20)

Cites Work

• PDE boundary conditions from minimum reduction of the PDE
• Quasilinearization and invariant imbedding. With applications to chemical engineering and adaptive control

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