Open AccessPERONA-MALIK EQUATION - ERROR ESTIMATES FOR EXPLICIT FINITE VOLUME SCHEME
Author(s) -
Angela Handlovičová,
Zuzana Krivá
Publication year - 2005
Publication title -
mathematical modelling and analysis/mathematical modeling and analysis
Language(s) - Uncategorized
Resource type - Journals
SCImago Journal Rank - 0.491
H-Index - 25
eISSN - 1648-3510
pISSN - 1392-6292
DOI - 10.3846/13926292.2005.9637293
Subject(s) - mathematics , finite volume method , norm (philosophy) , scheme (mathematics) , mathematical analysis , volume (thermodynamics) , finite difference scheme , physics , quantum mechanics , mechanics , political science , law
Error estimates in the L2 norm for the explicit fully discrete numerical finite volume scheme are derived and proved for Perona‐Malik equation. Numerical example is also presented.