Matrix technology for a class of fourth-order difference schemes in solution of hyperbolic equations
Year: 2014
Journal of Information and Computing Science, Vol. 9 (2014), Iss. 1 : pp. 54–66
Abstract
In this article, We apply Krylov subspace methods in combination of the ADI, BLAGE,... method as a preconditioner for a class of linear systems arising from fourth-order finite difference schemes in = solution of hyperbolic equations subject to appropriate initial and Dirichlet boundary conditions, where α is constant. We show The BLAGE preconditioner is extremely effective in achieving optimal convergence rates for the class of fourth-order difference schemes considered in this paper. Numerical results performed on model problem to confirm the efficiency of our approach.
Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/2024-JICS-22597
Journal of Information and Computing Science, Vol. 9 (2014), Iss. 1 : pp. 54–66
Published online: 2014-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 13