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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| Дата: | 2017 |
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| Автор: | |
| Формат: | Стаття |
| Мова: | English |
| Опубліковано: |
Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України
2017
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| Назва видання: | Журнал математической физики, анализа, геометрии |
| Онлайн доступ: | http://dspace.nbuv.gov.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| id |
irk-123456789-140574 |
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dspace |
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irk-123456789-1405742018-07-11T01:23:36Z Approximate Solving of the Third Boundary Value Problems for Helmholtz Equations in the Plane with Parallel Cuts Dushkin, V.D. 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. 2017 Article 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 http://dspace.nbuv.gov.ua/handle/123456789/140574 en Журнал математической физики, анализа, геометрии Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| language |
English |
| 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. |
| format |
Article |
| author |
Dushkin, V.D. |
| spellingShingle |
Dushkin, V.D. Approximate Solving of the Third Boundary Value Problems for Helmholtz Equations in the Plane with Parallel Cuts Журнал математической физики, анализа, геометрии |
| author_facet |
Dushkin, V.D. |
| author_sort |
Dushkin, V.D. |
| title |
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_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_sort |
approximate solving of the third boundary value problems for helmholtz equations in the plane with parallel cuts |
| publisher |
Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України |
| publishDate |
2017 |
| url |
http://dspace.nbuv.gov.ua/handle/123456789/140574 |
| 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. |
| series |
Журнал математической физики, анализа, геометрии |
| work_keys_str_mv |
AT dushkinvd approximatesolvingofthethirdboundaryvalueproblemsforhelmholtzequationsintheplanewithparallelcuts |
| first_indexed |
2023-10-18T21:22:57Z |
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2023-10-18T21:22:57Z |
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1796152663955472384 |