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Sufficient condition of stability of finite element method for symmetric T-hyperbolic systems with constant coefficients


Citation

Djuraevich, Aloev Raxmatillo and Eshkuvatov, Zainidin K. and Davlatov, Sh. O. and Nik Long, Nik Mohd Asri (2014) Sufficient condition of stability of finite element method for symmetric T-hyperbolic systems with constant coefficients. Computers and Mathematics with Applications, 68 (10). pp. 1194-1204. ISSN 0898-1221

Abstract / Synopsis

In this note, Finite Element Method is applied to solve the symmetric t-hyperbolic system with dissipative boundary condition and its stability is proved. In two-dimensional space, complex program is developed for the numerical solution of the mixed problem in simple connected region on the uniform grid. Delphi-7 is used for the code of the complex program. Numerical results are in line with the theoretical findings.


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Additional Metadata

Item Type: Article
Divisions: Faculty of Science
Institute for Mathematical Research
DOI Number: 10.1016/j.camwa.2014.08.019
Publisher: Elsevier
Keywords: Finite element method; Mixed problem; Hyperbolic system; Difference scheme; Stability
Depositing User: Nurul Ainie Mokhtar
Date Deposited: 11 Jan 2016 14:02
Last Modified: 09 May 2017 11:47
Altmetrics: http://www.altmetric.com/details.php?domain=psasir.upm.edu.my&doi=10.1016/j.camwa.2014.08.019
URI: http://psasir.upm.edu.my/id/eprint/35528
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