Parameter estimation in moving boundary problems
type: Item
instance of: scholarly article
title: Parameter estimation in moving boundary problems
zbMATH Open document ID: 0656.65106
DOI: 10.1016/0893-9659(88)90098-5
author: Katherine A. Murphy
published in: Applied Mathematics Letters
publication date: 1988-01-01T00:00:00Z
review text: We describe an approximation scheme which can be used to estimate unknown parameters in moving boundary problems. The model equations we consider are fairly general nonlinear diffusion/reaction equations of one spatial variable. Here we give conditions on the parameter sets and model equations under which we can prove that the estimates obtained using the approximations will converge to best-fit parameters for the original model equations. We conclude with a numerical example.
Mathematics Subject Classification ID: 65Z05
Mathematics Subject Classification ID: 65N30
Mathematics Subject Classification ID: 35R35
Mathematics Subject Classification ID: 35K57
Mathematics Subject Classification ID: 35R30
zbMATH DE Number: 4072318
zbMATH Keywords: parameter estimation
zbMATH Keywords: moving boundary problems
zbMATH Keywords: nonlinear diffusion/reaction equations
zbMATH Keywords: numerical example
MaRDI profile type: Publication
full work available at URL: 0893-9659(88)90098-5
OpenAlex ID: W2264009846
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description: scientific article; zbMATH DE number 4072318