Affiliation:
1. Department of Mathematics, City University of Hong Kong, Hong Kong SAR, China
Abstract
Based on the discrepancy principle, we develop in this paper a new method of choosing the location of source points to solve the backward heat conduction problem (BHCP) by using the method of fundamental solutions (MFS). The standard Tikhonov regularization technique with the L curve method for an optimal regularized parameter is adopted for solving the resultant highly ill-conditioned system of linear equations. Numerical verifications of the proposed computational method are presented for both the one-dimensional and the two-dimensional BHCP.
Publisher
World Scientific Pub Co Pte Lt
Subject
Computational Mathematics,Computer Science (miscellaneous)
Cited by
47 articles.
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