Approximate Solving of the Third Boundary Value Problems for Helmholtz Equations in the Plane with Parallel Cuts

Автор(и)

  • V. D. Dushkin National Academy of the National Guard of Ukraine, 3 Zakhystnykiv Ukrainy Sq., Kharkiv, 61001, Ukraine

DOI:

https://doi.org/10.15407/mag13.03.254

Ключові слова:

наближений розв'язок крайових інтегральних рівнянь, сингулярне інтегральне рівняння, існування наближеного розв'язку, швидкість збіжності наближеного розв'язку

Анотація

У роботi запропоновано метод наближеного розв'язання крайових iнтегральних рiвнянь вихiдної задачi. Систему крайових iнтегральних рiвнянь цiєї задачi одержано методом параметричного зображення iнтегральних перетворень. Збiжнiсть наближених розв'язкiв до точного розв'язку вихiдної проблеми гарантовано твердженнями, доведеними в цiй роботi. Знайдено також швидкiсть збiжностi наближених розв'язкiв до точного розв'язку.

Mathematics Subject Classification: 45P05, 45L05.

Посилання

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Dushkin, V. D. Approximate Solving of the Third Boundary Value Problems for Helmholtz Equations in the Plane with Parallel Cuts. Журн. мат. фіз. анал. геом. 2017, 13, 254-267.

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