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A computational method for inverse free boundary determination problem

โœ Scribed by Y. C. Hon; M. Li

Publisher
John Wiley and Sons
Year
2008
Tongue
English
Weight
387 KB
Volume
73
Category
Article
ISSN
0029-5981

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โœฆ Synopsis

Abstract

Based on the method of fundamental solutions and discrepancy principle for the choice of location for source points, we extend in this paper the application of the computational method to determine an unknown free boundary of a Cauchy problem of parabolicโ€type equation from measured Dirichlet and Neumann data with noises. The standard Tikhonov regularization technique with the Lโ€curve method for an optimal regularized parameter is adopted for solving the resultant highly illโ€conditioned system of linear equations. Both oneโ€dimensional and twoโ€dimensional numerical examples are given to verify the efficiency and accuracy of the proposed computational method. Copyright ยฉ 2007 John Wiley & Sons, Ltd.

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