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Uniqueness solution of the finite elements scheme for symmetric hyperbolic systems with variable coefficients


Citation

Djuraevich, Aloev Raxmatillo and Davlatov, Sh. O. and Eshkuvatov, Zainidin K. and Nik Long, Nik Mohd Asri (2016) Uniqueness solution of the finite elements scheme for symmetric hyperbolic systems with variable coefficients. Malaysian Journal of Mathematical Sciences, 10 (spec. Aug.). pp. 49-60. ISSN 1823-8343; ESSN: 2289-750X

Abstract

The present work is devoted to the proof of uniqueness of the solution of the finite elements scheme in the case of variable coefficients. Finite elements method is applied for the numerical solution of the mixed problem for symmetric hyperbolic systems with variable coefficients. Moreover, dissipative boundary conditions and its stability are proved. Finally, numerical example is provided for the two dimensional mixed problem in simply connected region on the regular lattice. Coding is done by DELPHI7.


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Additional Metadata

Item Type: Article
Divisions: Faculty of Science
Institute for Mathematical Research
Publisher: Institute for Mathematical Research, Universiti Putra Malaysia
Notes: Special issue: The 7th International Conference on Research and Education in Mathematics (ICREM7)
Keywords: Finite elements scheme; Variable coefficients; Symmetric hyperbolic systems
Depositing User: Nabilah Mustapa
Date Deposited: 05 Jun 2017 09:34
Last Modified: 05 Jun 2017 09:34
URI: http://psasir.upm.edu.my/id/eprint/52357
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