2011-Winkel, Brian - Parameter estimates in differential equation models for chemical kinetics.

By Brian Winkel

SIMIODE, Chardon OH USA

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Abstract

Winkel, Brian. 2011. Parameter estimates in differential equation models for chemical kinetics. International Journal of Mathematical Education in Science and Technology. 42(1): 37-51.

See https://www.tandfonline.com/doi/abs/10.1080/0020739X.2010.500806

Abstract: We discuss the need for devoting time in differential equations courses to modelling and the completion of the modelling process with efforts to estimate the parameters in the models using data. We estimate the parameters present in several differential equation models of chemical reactions of order n, where n = 0, 1, 2, and apply more general parameter estimation approaches to an optimization problem involving the production chemical reaction A->B->C.

Keywords: parameter estimation; modelling; differential equations; chemical kinetics; optimization; linearization; sum of square errors

Cite this work

Researchers should cite this work as follows:

  • Brian Winkel (2020), "2011-Winkel, Brian - Parameter estimates in differential equation models for chemical kinetics.," https://simiode.org/resources/7105.

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