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

Author

Wu, Yu-jiang ; Yang, Ai-Li ; Song, Lun-Ji

Author_Institution

Sch. of Math. & Stat., Lanzhou Univeristy, Lanzhou, China

Volume

2

fYear

2009

fDate

March 31 2009-April 2 2009

Firstpage

550

Lastpage

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

Keywords

linear systems; numerical stability; parabolic equations; wavelet transforms; WBIU-type Crank-Nicholson scheme; anisotropic parabolic equations; linear system coefficient matrix; multilevel wavelet-like block incremental unknowns method; numerical computation; Anisotropic magnetoresistance; Computer science; Discrete wavelet transforms; Equations; Finite difference methods; Linear systems; Mathematics; Scientific computing; Stability; Statistics; Incremental unknowns; anisotropic parabolic equations; block matrix;

fLanguage

English

Publisher

ieee

Conference_Titel

Computer Science and Information Engineering, 2009 WRI World Congress on

Conference_Location

Los Angeles, CA

Print_ISBN

978-0-7695-3507-4

Type

conf

DOI

10.1109/CSIE.2009.237

Filename

5171399