A fast method for solving quasi-pentadiagonal Toeplitz linear systems and its application to the Lax–Wendroff scheme
| Autor: | Maher Moakher, Fahd Hcini, Skander Belhaj |
|---|---|
| Rok vydání: | 2021 |
| Předmět: |
Scheme (programming language)
Numerical Analysis General Computer Science Lax–Wendroff method Computer science Applied Mathematics Linear system Computer Science::Numerical Analysis Inversion (discrete mathematics) Toeplitz matrix Theoretical Computer Science Modeling and Simulation Applied mathematics MATLAB computer computer.programming_language |
| Zdroj: | Mathematics and Computers in Simulation. 188:77-86 |
| ISSN: | 0378-4754 |
| DOI: | 10.1016/j.matcom.2021.03.031 |
| Popis: | 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. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
|
Full Text from ScienceDirect