This article discusses the development of an algorithm based on the application of optimal quadrature formulas for solving Abel's integral equations. Abel's integral equation finds great application in applied problems, including microscopy, seismology, radio astronomy, atomic scattering, radar, plasma diagnostics, X-ray radiography, fluid mechanics, biomechanics and electromagnetic field theory. The quadrature formulas given in this paper are optimal in the Sobolev space. The developed scheme is efficient, accurate and can be extended to other special tasks.
| Mualliflar | Далиев, Бахтиёр |
|---|---|
| Jurnal | Al-Farg'oniy avlodlari |
| Nashr sanasi | 2024-12-27 |
| Son | 4 |
| Betlar | 12-15 |
| Til | Rus |
Сингулярные интегральные уравнения, квадратурная формула, пространсво Соболева, обобщенное интегральное уравнение Абеля
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