Quasi multigrid preconditioned iteration method for boundary value problem of two -dimensional parabolic equations
YANG Yan-nan
BAI Yi-la
Abstract：The solution of quasi multigrid preconditioned iteration method for boundary value problem of two-dimensional elliptic equation is generalized to two -dimensional parabolic equation and uses Crank -Nicolson format to discrete two -dimensional parabolic equation .Because it is essential for the network nodes order to form the structure of the iterative format , the grid nodes of L layer in each time are sorted in sequence according to the rotating red-black order .The numerical experiment shows that the number of this kind of iterations re-duces more obviously than SOR method and the iterative solution and the exact solution bear the features with a relatively low error and a faster rate of convergence .Therefore , the quasi multigrid preconditioned iteration meth-od for boundary value problem of two -dimensional parabolic equation is a very effective way to solve this prob-lem.
Keywords：Parabolic equationpreconditionedmultigrid methoddifference scheme
Publication Date：2013-01-01
Online Publishing Date：2025-08-15(First online date of this platform, not the publication date of the document)
Pages：6( 250-255 )