Wavelet-Like Block Incremental Unknowns for Numerical Computation of Anisotropic Parabolic Equations
Computer Science and Information Engineering, World Congress on (2009)
Los Angeles, California USA
Mar. 31, 2009 to Apr. 2, 2009
DOI Bookmark: http://doi.ieeecomputersociety.org/10.1109/CSIE.2009.237
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.
Incremental unknowns, anisotropic parabolic equations, block matrix
L. Song, Y. Wu and A. Yang, "Wavelet-Like Block Incremental Unknowns for Numerical Computation of Anisotropic Parabolic Equations," 2009 WRI World Congress on Computer Science and Information Engineering, CSIE(CSIE), Los Angeles, CA, 2009, pp. 550-554.