Sufficient condition of stability of finite element method for symmetric T-hyperbolic systems with constant coefficients
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...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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Elsevier
2014
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| Online Access: | http://psasir.upm.edu.my/id/eprint/35528/ http://psasir.upm.edu.my/id/eprint/35528/1/Sufficient%20condition%20of%20stability%20of%20finite%20element%20method%20for%20symmetric%20T-hyperbolic%20systems%20with%20constant%20coefficients.pdf |
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| author | Djuraevich, Aloev Raxmatillo Eshkuvatov, Zainidin K. Davlatov, Sh. O. Nik Long, Nik Mohd Asri |
| author_facet | Djuraevich, Aloev Raxmatillo Eshkuvatov, Zainidin K. Davlatov, Sh. O. Nik Long, Nik Mohd Asri |
| author_sort | Djuraevich, Aloev Raxmatillo |
| building | UPM Institutional Repository |
| collection | Online Access |
| description | 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. |
| first_indexed | 2025-11-15T09:28:48Z |
| format | Article |
| id | upm-35528 |
| institution | Universiti Putra Malaysia |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-15T09:28:48Z |
| publishDate | 2014 |
| publisher | Elsevier |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | upm-355282017-05-09T03:47:10Z http://psasir.upm.edu.my/id/eprint/35528/ Sufficient condition of stability of finite element method for symmetric T-hyperbolic systems with constant coefficients Djuraevich, Aloev Raxmatillo Eshkuvatov, Zainidin K. Davlatov, Sh. O. Nik Long, Nik Mohd Asri 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. Elsevier 2014-11 Article PeerReviewed application/pdf en http://psasir.upm.edu.my/id/eprint/35528/1/Sufficient%20condition%20of%20stability%20of%20finite%20element%20method%20for%20symmetric%20T-hyperbolic%20systems%20with%20constant%20coefficients.pdf 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 http://www.sciencedirect.com/science/article/pii/S0898122114004118 10.1016/j.camwa.2014.08.019 |
| spellingShingle | Djuraevich, Aloev Raxmatillo Eshkuvatov, Zainidin K. Davlatov, Sh. O. Nik Long, Nik Mohd Asri Sufficient condition of stability of finite element method for symmetric T-hyperbolic systems with constant coefficients |
| title | Sufficient condition of stability of finite element method for symmetric T-hyperbolic systems with constant coefficients |
| title_full | Sufficient condition of stability of finite element method for symmetric T-hyperbolic systems with constant coefficients |
| title_fullStr | Sufficient condition of stability of finite element method for symmetric T-hyperbolic systems with constant coefficients |
| title_full_unstemmed | Sufficient condition of stability of finite element method for symmetric T-hyperbolic systems with constant coefficients |
| title_short | Sufficient condition of stability of finite element method for symmetric T-hyperbolic systems with constant coefficients |
| title_sort | sufficient condition of stability of finite element method for symmetric t-hyperbolic systems with constant coefficients |
| url | http://psasir.upm.edu.my/id/eprint/35528/ http://psasir.upm.edu.my/id/eprint/35528/ http://psasir.upm.edu.my/id/eprint/35528/ http://psasir.upm.edu.my/id/eprint/35528/1/Sufficient%20condition%20of%20stability%20of%20finite%20element%20method%20for%20symmetric%20T-hyperbolic%20systems%20with%20constant%20coefficients.pdf |