Matrix technology for a class of fourth-order difference schemes in solution of hyperbolic equations

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Volume 9, Issue 1

A. Golbabai

J. Info. Comput. Sci. , 9 (2014), pp. 054-066.

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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.

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Fourth-order approximation Hyperbolic equations Krylov subspace methods Preconditioner.

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@Article{JICS-9-054, author = {A. Golbabai}, title = {Matrix technology for a class of fourth-order difference schemes in solution of hyperbolic equations}, journal = {Journal of Information and Computing Science}, year = {2014}, volume = {9}, number = {1}, pages = {054--066}, 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. }, issn = {3080-180X}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/jics/22597.html} }

TY - JOUR T1 - Matrix technology for a class of fourth-order difference schemes in solution of hyperbolic equations AU - A. Golbabai JO - Journal of Information and Computing Science VL - 1 SP - 054 EP - 066 PY - 2014 DA - 2014/03 SN - 9 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/jics/22597.html KW - Fourth-order approximation KW - Hyperbolic equations KW - Krylov subspace methods KW - Preconditioner. AB - 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.

A. Golbabai. (2014). Matrix technology for a class of fourth-order difference schemes in solution of hyperbolic equations. Journal of Information and Computing Science. 9 (1). 054-066. doi:

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