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A method for computing the partial derivatives of experimental data
Author(s) -
Yeow Y. Leong,
Isac Jordan,
Khalid Fathullah A.,
Leong YeeKwong,
Lubansky A. S.
Publication year - 2010
Publication title -
aiche journal
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.958
H-Index - 167
eISSN - 1547-5905
pISSN - 0001-1541
DOI - 10.1002/aic.12236
Subject(s) - tikhonov regularization , computation , regularization (linguistics) , partial derivative , mathematics , computer science , noise (video) , mathematical optimization , algorithm , inverse problem , mathematical analysis , artificial intelligence , image (mathematics)
This article describes a procedure for obtaining the partial derivatives of experimental data that depend on two independent variables. The starting equation is an ill‐posed integral equation of the first kind. Tikhonov regularization is used to keep noise amplification under control. Implementation of the computation steps is described and the performance of the procedure is demonstrated by four practical examples. © 2010 American Institute of Chemical Engineers AIChE J, 2010