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Wavelet-Like Block Incremental Unknowns for Numerical Computation of Anisotropic Parabolic Equations

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3 Author(s)
Yu-jiang Wu ; Sch. of Math. & Stat., Lanzhou Univeristy, Lanzhou, China ; Ai-Li Yang ; Lun-Ji Song

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 epsiv small, and these results also validate the stability of this new scheme.

Published in:

Computer Science and Information Engineering, 2009 WRI World Congress on  (Volume:2 )

Date of Conference:

March 31 2009-April 2 2009