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Analysis of error growth for explicit difference schemes in conduction–convection problems
Author(s) -
Griffiths D. F.,
Christie I.,
Mitchell A. R.
Publication year - 1980
Publication title -
international journal for numerical methods in engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.421
H-Index - 168
eISSN - 1097-0207
pISSN - 0029-5981
DOI - 10.1002/nme.1620150708
Subject(s) - thermal conduction , convection , error analysis , finite difference , mathematics , zero (linguistics) , finite difference method , mechanics , mathematical analysis , physics , thermodynamics , philosophy , linguistics
A detailed study is made of the error growth associated with explicit difference schemes for a conduction‐convection problem. It is shown that the error can become arbitrarily large after a finite number of time steps even though it ultimately decays to zero. Certain ambiguities reported in the literature can thereby be resolved.