Uniqueness solution of the finite elements scheme for symmetric hyperbolic systems with variable coefficients
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, dissipat...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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Institute for Mathematical Research, Universiti Putra Malaysia
2016
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| Online Access: | http://psasir.upm.edu.my/id/eprint/52357/1/4.%20Rakhmatilo.pdf |
| _version_ | 1825930709505671168 |
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| author | Djuraevich, Aloev Raxmatillo Davlatov, Sh. O. Eshkuvatov, Zainidin K. Nik Long, Nik Mohd Asri |
| author_facet | Djuraevich, Aloev Raxmatillo Davlatov, Sh. O. Eshkuvatov, Zainidin K. Nik Long, Nik Mohd Asri |
| author_sort | Djuraevich, Aloev Raxmatillo |
| collection | UPM |
| description | 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. |
| first_indexed | 2024-03-06T09:15:40Z |
| format | Article |
| id | upm.eprints-52357 |
| institution | Universiti Putra Malaysia |
| language | English |
| last_indexed | 2024-03-06T09:15:40Z |
| publishDate | 2016 |
| publisher | Institute for Mathematical Research, Universiti Putra Malaysia |
| record_format | dspace |
| spelling | upm.eprints-523572017-06-05T09:34:23Z http://psasir.upm.edu.my/id/eprint/52357/ Uniqueness solution of the finite elements scheme for symmetric hyperbolic systems with variable coefficients Djuraevich, Aloev Raxmatillo Davlatov, Sh. O. Eshkuvatov, Zainidin K. Nik Long, Nik Mohd Asri 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. Institute for Mathematical Research, Universiti Putra Malaysia 2016 Article PeerReviewed application/pdf en http://psasir.upm.edu.my/id/eprint/52357/1/4.%20Rakhmatilo.pdf 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 http://einspem.upm.edu.my/journal/fullpaper/vol10saugust/4.%20Rakhmatilo.pdf |
| spellingShingle | Djuraevich, Aloev Raxmatillo Davlatov, Sh. O. Eshkuvatov, Zainidin K. Nik Long, Nik Mohd Asri Uniqueness solution of the finite elements scheme for symmetric hyperbolic systems with variable coefficients |
| title | Uniqueness solution of the finite elements scheme for symmetric hyperbolic systems with variable coefficients |
| title_full | Uniqueness solution of the finite elements scheme for symmetric hyperbolic systems with variable coefficients |
| title_fullStr | Uniqueness solution of the finite elements scheme for symmetric hyperbolic systems with variable coefficients |
| title_full_unstemmed | Uniqueness solution of the finite elements scheme for symmetric hyperbolic systems with variable coefficients |
| title_short | Uniqueness solution of the finite elements scheme for symmetric hyperbolic systems with variable coefficients |
| title_sort | uniqueness solution of the finite elements scheme for symmetric hyperbolic systems with variable coefficients |
| url | http://psasir.upm.edu.my/id/eprint/52357/1/4.%20Rakhmatilo.pdf |
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