Acta mathematica scientia,Series A ›› 2009, Vol. 29 ›› Issue (3): 564-572.

• Articles • Previous Articles     Next Articles

A Class of Generalized Three Dimensional Convection-Diffusion Equations with Multi-Level Incremental Unknowns Method

  

  1. (School of Mathematics and Statistics, Lanzhou Univeristy, Lanzhou 730000)
  • Received:2007-03-07 Revised:2008-12-18 Online:2009-06-25 Published:2009-06-25
  • Supported by:

    甘肃省科技计划(0804NKCA073)和兰州大学理论物理与数学纯基础科学基金(Lzu07003)资助

Abstract:

With the finite difference discretization techniques, the authors get a nonsymmetric and positive-definite linear system when considering a class of generalized three-dimensional convection-diffusion equations even if they have variable coefficients. Considering that the condition number of incremental unknowns(IU)-type coefficient matrix is much better than the matrix without IU(see [1]), the authors use the IU method in conjunction with several classical iterative methods to approximate the solution of the system. After estimating the condition number of IU-type
coefficient matrix, the authors numerically confirm that these IU-type iterative methods are much more efficient.

Key words: Incremental unknowns, Convection-diffusion equations with variable coefficients, Iterative methods

CLC Number: 

  • 65N
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