期刊
APPLIED NUMERICAL MATHEMATICS
卷 60, 期 1-2, 页码 154-164出版社
ELSEVIER SCIENCE BV
DOI: 10.1016/j.apnum.2009.10.008
关键词
Proper orthogonal decomposition; Parabolic equation; Finite difference scheme; Snapshot
资金
- National Science Foundation of China [10871022]
In this paper, some reduced finite difference schemes based on a proper orthogonal decomposition (POD) technique for parabolic equations are derived. Also the error estimates between the POD approximate solutions of the reduced finite difference schemes and the exact solutions for parabolic equations are established. It is shown by considering the results of two numerical examples that the numerical results are consistent with theoretical conclusions. Moreover, it is also shown that the POD reduced finite difference schemes are feasible and efficient. (C) 2009 IMACS. Published by Elsevier B.V. All rights reserved.
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