Two numerical methods for solving a backward heat conduction problem

doi:10.1016/j.amc.2005.11.114

Two numerical methods for solving a backward heat conduction problem

2006-08-01

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DOI：10.1016/j.amc.2005.11.114

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We introduce a central difference method and a quasi-reversibility method for solving a backward heat conduction problem (BHCP) numerically. For these two numerical methods, we give the stability analysis. Meanwhile, we investigate the roles of regularization parameters in these two methods. Numerical results show that our algorithm is effective. (c) 2005 Elsevier Inc. All rights reserved.

Keywords:

inverse problem

backward heat conduction

central difference

quasi-reversibility

regularization

Two numerical methods for solving a backward heat conduction problem

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