Approximate Solving of the Third Boundary Value Problems for Helmholtz Equations in the Plane with Parallel Cuts
In the paper, the method of approximate solution of boundary integral equations of the original problem is proposed. The systems of boundary integral equations of the problem are obtained by the method of parametric representation of integral transforms. The convergence of approximate solutions to t...
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| Опубліковано в: : | Журнал математической физики, анализа, геометрии |
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| Дата: | 2017 |
| Автор: | |
| Формат: | Стаття |
| Мова: | Англійська |
| Опубліковано: |
Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України
2017
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| Онлайн доступ: | https://nasplib.isofts.kiev.ua/handle/123456789/140574 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | Approximate Solving of the Third Boundary Value Problems for Helmholtz Equations in the Plane with Parallel Cuts / V.D. Dushkin // Журнал математической физики, анализа, геометрии. — 2017. — Т. 13, № 3. — С. 254-267. — Бібліогр.: 22 назв. — англ. |
Репозитарії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862743915865571328 |
|---|---|
| author | Dushkin, V.D. |
| author_facet | Dushkin, V.D. |
| citation_txt | Approximate Solving of the Third Boundary Value Problems for Helmholtz Equations in the Plane with Parallel Cuts / V.D. Dushkin // Журнал математической физики, анализа, геометрии. — 2017. — Т. 13, № 3. — С. 254-267. — Бібліогр.: 22 назв. — англ. |
| collection | DSpace DC |
| container_title | Журнал математической физики, анализа, геометрии |
| description | In the paper, the method of approximate solution of boundary integral equations of the original problem is proposed. The systems of boundary integral equations of the problem are obtained by the method of parametric representation of integral transforms. The convergence of approximate solutions to the exact solution of the original problem is guaranteed by the propositions proved in the paper. Also, the rate of convergence of approximate solutions to exact solutions is found.
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| first_indexed | 2025-12-07T20:32:49Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-140574 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1812-9471 |
| language | English |
| last_indexed | 2025-12-07T20:32:49Z |
| publishDate | 2017 |
| publisher | Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України |
| record_format | dspace |
| spelling | Dushkin, V.D. 2018-07-10T19:23:32Z 2018-07-10T19:23:32Z 2017 Approximate Solving of the Third Boundary Value Problems for Helmholtz Equations in the Plane with Parallel Cuts / V.D. Dushkin // Журнал математической физики, анализа, геометрии. — 2017. — Т. 13, № 3. — С. 254-267. — Бібліогр.: 22 назв. — англ. 1812-9471 DOI: doi.org/10.15407/mag13.03.254 Mathematics Subject Classification 2000: 45P05, 45L05 https://nasplib.isofts.kiev.ua/handle/123456789/140574 In the paper, the method of approximate solution of boundary integral equations of the original problem is proposed. The systems of boundary integral equations of the problem are obtained by the method of parametric representation of integral transforms. The convergence of approximate solutions to the exact solution of the original problem is guaranteed by the propositions proved in the paper. Also, the rate of convergence of approximate solutions to exact solutions is found. en Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України Журнал математической физики, анализа, геометрии Approximate Solving of the Third Boundary Value Problems for Helmholtz Equations in the Plane with Parallel Cuts Article published earlier |
| spellingShingle | Approximate Solving of the Third Boundary Value Problems for Helmholtz Equations in the Plane with Parallel Cuts Dushkin, V.D. |
| title | Approximate Solving of the Third Boundary Value Problems for Helmholtz Equations in the Plane with Parallel Cuts |
| title_full | Approximate Solving of the Third Boundary Value Problems for Helmholtz Equations in the Plane with Parallel Cuts |
| title_fullStr | Approximate Solving of the Third Boundary Value Problems for Helmholtz Equations in the Plane with Parallel Cuts |
| title_full_unstemmed | Approximate Solving of the Third Boundary Value Problems for Helmholtz Equations in the Plane with Parallel Cuts |
| title_short | Approximate Solving of the Third Boundary Value Problems for Helmholtz Equations in the Plane with Parallel Cuts |
| title_sort | approximate solving of the third boundary value problems for helmholtz equations in the plane with parallel cuts |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/140574 |
| work_keys_str_mv | AT dushkinvd approximatesolvingofthethirdboundaryvalueproblemsforhelmholtzequationsintheplanewithparallelcuts |