A fast method for solving quasi-pentadiagonal Toeplitz linear systems and its application to the Lax–Wendroff scheme

Skander Belhaj, Fahd Hcini and Maher Moakher

Mathematics and Computers in Simulation (MATCOM), 2021, vol. 188, issue C, 77-86

Abstract: In this paper we present an algorithm for solving quasi-pentadiagonal Toeplitz linear systems, that is based on Du et al. method (Du et al., 2014) and the Sherman–Morrison–Woodbury inversion formula. All algorithms have been implemented in Matlab and numerical experiments are given in order to illustrate the validity and efficiency of our algorithm. An application of the proposed algorithm to the Lax–Wendroff scheme is also considered.

Keywords: Quasi-pentadiagonal Toeplitz matrix; LU decomposition; Sherman–Morrison–Woodbury inversion; Lax–Wendroff scheme (search for similar items in EconPapers)
Date: 2021
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Persistent link: https://EconPapers.repec.org/RePEc:eee:matcom:v:188:y:2021:i:c:p:77-86

DOI: 10.1016/j.matcom.2021.03.031

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