Parameter estimation in ordinary differential equations

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Title: Parameter estimation in ordinary differential equations
Author: Ng, Chee Loong
Abstract: The parameter estimation problem or the inverse problem of ordinary differential equations is prevalent in many process models in chemistry , molecular biology , control system design and many other engineering applications . It concerns the re -construction of auxillary parameters by fitting the solution from the system of ordinary differential equations ( from a known mathematical model ) to that of measured data obtained from observing the solution trajectory . Some of the traditional techniques (for example , initial value technques , multiple shooting , etc . ) used to solve this class of problem have been discussed . A new algorithm , motivated by algorithms proposed by Childs and Osborne (1996 ) and Z .F .Li's dissertation (2000 ) , has been proposed . The new algorithm inherited the advantages exhibited in the above -mentioned algorithms and , most importantly , the parameters can be transformed to a form that are convenient and suitable for computation . A statistical analysis has also been developed and applied to examples . The statistical analysis yields indications of the tolerance of the estimates and consistency of the observations used .
URI: http : / /hdl .handle .net /1969 .1 /388
Date: 2004-09-30

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Parameter estimation in ordinary differential equations. Available electronically from http : / /hdl .handle .net /1969 .1 /388 .

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