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 |
| Nashriyot | ТАТУ Фарғона филиали |
| ISSN | 2181-4252 |
| Nashr sanasi | 2024-12-27 |
| Son | 4 |
| Betlar | 12-15 |
| Til | Ingliz |
| Ilmiy soha | Texnika |
| Indeksga qo‘shilgan | 2026-08-26 |
Сингулярные интегральные уравнения, квадратурная формула, пространсво Соболева, обобщенное интегральное уравнение Абеля
| APA | Далиев, Бахтиёр (2024). Solving the Abel equation by the method of optimal quadrature formulas. Al-Farg'oniy avlodlari, (4), 12-15. https://al-fargoniy.uz/index.php/journal/article/view/585 |
|---|---|
| GOST (OAK) | Далиев, Бахтиёр Solving the Abel equation by the method of optimal quadrature formulas // Al-Farg'oniy avlodlari. – 2024. – № 4. – P. 12-15. |
| MLA | Далиев, Бахтиёр. “Solving the Abel equation by the method of optimal quadrature formulas.” Al-Farg'oniy avlodlari, (4), 12-15, 2024. https://al-fargoniy.uz/index.php/journal/article/view/585 |
| Chicago | Далиев, Бахтиёр. “Solving the Abel equation by the method of optimal quadrature formulas.” Al-Farg'oniy avlodlari, (4), 12-15 (2024). https://al-fargoniy.uz/index.php/journal/article/view/585 |
| Harvard | Далиев, Бахтиёр (2024) ‘Solving the Abel equation by the method of optimal quadrature formulas’, Al-Farg'oniy avlodlari, (4), 12-15. https://al-fargoniy.uz/index.php/journal/article/view/585 |
| BibTeX | @article{article2024,
title = {Solving the Abel equation by the method of optimal quadrature formulas},
author = {Далиев, Бахтиёр},
journal = {Al-Farg'oniy avlodlari},
year = {2024},
number = {4},
pages = {12-15},
url = {https://al-fargoniy.uz/index.php/journal/article/view/585}
} |
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