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Los Angeles, CA
March 31, 2009 to April 2, 2009
ISBN: 978-0-7695-3507-4
pp: 550-554
ABSTRACT
For the anisotropic parabolic equations, we introduce a multilevel wavelet-like block incremental unknowns(WBIU) method and then, based on this new method, we construct a WBIU-type Crank-Nicholson scheme. The stability of this scheme is carefully studied. The numerical results show that the condition number of the coefficient matrix of the linear system correspond to this scheme is reduced efficiently for ε small, and these results also validate the stability of this new scheme.
INDEX TERMS
Incremental unknowns, anisotropic parabolic equations, block matrix
CITATION
Yu-Jiang Wu, Ai-Li Yang, Lun-Ji Song, "Wavelet-Like Block Incremental Unknowns for Numerical Computation of Anisotropic Parabolic Equations", CSIE, 2009, 2009 WRI World Congress on Computer Science and Information Engineering, CSIE, 2009 WRI World Congress on Computer Science and Information Engineering, CSIE 2009, pp. 550-554, doi:10.1109/CSIE.2009.237
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