Mixed Initial-Boundary Value Problem for Telegraph Equation in Domain with Variable Borders
Mixed initial-boundary value problem for telegraph equation in domain with variable borders is considered. On one part of domain’s border are the boundary conditions of the first type, on other part of the boundary are set boundary conditions of the second type. Besides, the sizes of area are variab...
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| Format: | Article |
| Language: | English |
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Wiley
2012-01-01
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| Series: | Advances in Mathematical Physics |
| Online Access: | http://dx.doi.org/10.1155/2012/831012 |
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| _version_ | 1832553950913495040 |
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| author | V. A. Ostapenko |
| author_facet | V. A. Ostapenko |
| author_sort | V. A. Ostapenko |
| collection | DOAJ |
| description | Mixed initial-boundary value problem for telegraph equation in domain with variable borders is considered. On one part of domain’s border are the boundary conditions of the first type, on other part of the boundary are set boundary conditions of the second type. Besides, the sizes of area are variable. The solution of such problem demands development of special methods. With the help of consecutive application of procedure of construction waves reflected from borders of domain, it is possible to obtain the solution of this problem in quadratures. In addition, for construction of the waves reflected from mobile border, it is necessary to apply the procedure specially developed for these purposes. |
| format | Article |
| id | doaj-art-7bc4657c75cc47d1b59df8fc283f1eb1 |
| institution | Kabale University |
| issn | 1687-9120 1687-9139 |
| language | English |
| publishDate | 2012-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Advances in Mathematical Physics |
| spelling | doaj-art-7bc4657c75cc47d1b59df8fc283f1eb12025-02-03T05:52:46ZengWileyAdvances in Mathematical Physics1687-91201687-91392012-01-01201210.1155/2012/831012831012Mixed Initial-Boundary Value Problem for Telegraph Equation in Domain with Variable BordersV. A. Ostapenko0Dnepropetrovsk National University, Faculty of Mechanics and Mathematics, Pr. Gagarina 72, Dnepropetrovsk 49010, UkraineMixed initial-boundary value problem for telegraph equation in domain with variable borders is considered. On one part of domain’s border are the boundary conditions of the first type, on other part of the boundary are set boundary conditions of the second type. Besides, the sizes of area are variable. The solution of such problem demands development of special methods. With the help of consecutive application of procedure of construction waves reflected from borders of domain, it is possible to obtain the solution of this problem in quadratures. In addition, for construction of the waves reflected from mobile border, it is necessary to apply the procedure specially developed for these purposes.http://dx.doi.org/10.1155/2012/831012 |
| spellingShingle | V. A. Ostapenko Mixed Initial-Boundary Value Problem for Telegraph Equation in Domain with Variable Borders Advances in Mathematical Physics |
| title | Mixed Initial-Boundary Value Problem for Telegraph Equation in Domain with Variable Borders |
| title_full | Mixed Initial-Boundary Value Problem for Telegraph Equation in Domain with Variable Borders |
| title_fullStr | Mixed Initial-Boundary Value Problem for Telegraph Equation in Domain with Variable Borders |
| title_full_unstemmed | Mixed Initial-Boundary Value Problem for Telegraph Equation in Domain with Variable Borders |
| title_short | Mixed Initial-Boundary Value Problem for Telegraph Equation in Domain with Variable Borders |
| title_sort | mixed initial boundary value problem for telegraph equation in domain with variable borders |
| url | http://dx.doi.org/10.1155/2012/831012 |
| work_keys_str_mv | AT vaostapenko mixedinitialboundaryvalueproblemfortelegraphequationindomainwithvariableborders |