Regularisation Technique for a Distributed Parameter Identification Problem

Joseph Acquah, Francis Benyah and Jerry S. Y. Kuma

Journal of Mathematics Research, 2019, vol. 11, issue 1, 64-75

Abstract: This paper examined the problem of ill-posedness of solution in identifying parameters from a given groundwater flow model. The solution approach to the problem was attempted by the method of Parameter Transformation coupled with Tikhonov Regularisation with and without Truncation which has not been explored. Convergence of the method was assessed by the L-Curve criterion. Numerical examples were presented to illustrate the efficiency of the proposed Regularisation Technique. Tikhonov Regularisation with Truncation turns to give a more realistic solution estimates when examined numerically, compared to that of Regularisation without Truncation.

Keywords: ill-posed problem; parameter transformation; regularization with and without truncation; l-curve (search for similar items in EconPapers)
Date: 2019
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Persistent link: https://EconPapers.repec.org/RePEc:ibn:jmrjnl:v:11:y:2019:i:1:p:64

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