Application of finite-difference methods to parameter identification of agroecological models

A typical parameter identification problem arisen in agroecological modeling is described and a finite difference method to solve an appropriate inverse problem is proposed. The method sup­poses the direct solution of an initial-boundary problem by finite difference scheme and then uses a non-linea...

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Bibliographic Details
Main Authors: Natalija Juščenko, Vitalijus Denisov
Format: Article
Language:English
Published: Vilnius University Press 2001-12-01
Series:Lietuvos Matematikos Rinkinys
Online Access:https://www.zurnalai.vu.lt/LMR/article/view/34641
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Summary:A typical parameter identification problem arisen in agroecological modeling is described and a finite difference method to solve an appropriate inverse problem is proposed. The method sup­poses the direct solution of an initial-boundary problem by finite difference scheme and then uses a non-linear optimization routine for parameter estimation. The derived recurrent formulas allow the accumulation of values of gradient and Hessian matrices while solving the direct problem. The software algorithm is described and some numerical results are given for the particular soil heat transfer parameter estimation exercise using the field treatment data collected at the Lithuanian Institute of Agriculture.
ISSN:0132-2818
2335-898X