Hypersingular integral equations are encountered in a number of fields, such as the dynamics of air and fluid flow, elasticity, and wave propagation theory. Analytical solutions for these integral equations exist, but the solutions themselves are also expressed through singular integrals. Therefore, it becomes necessary to develop formulas for the approximate calculation of these solutions, and such formulas have been developed. Among these formulas, very few are highly accurate. However, they are not optimal. Our work is devoted to constructing an optimal quadrature formula for the approximate calculation of the analytical solutions of a hypersingular integral equation.
| Mualliflar | Akhmedov, D.M., Mamatova, N.H., Ахмедов, Д.М., Маматова, Н.Х. |
|---|---|
| Jurnal | Ҳисоблаш ва амалий математика муаммолари |
| Nashriyot | Тошкент ахборот технологиялари университети қошидаги, Ахборот-коммуникация технологиялари илмий-инновацион, маркази |
| ISSN | 2181-8460, 2181-046X |
| Nashr sanasi | 2026-01-11 |
| Son | 6 |
| Betlar | 124-131 |
| Til | Ingliz |
| Ilmiy soha | Fizika-matematika |
| DOI | 10.71310/pcam.6_70.2025.10 |
| Indeksga qo‘shilgan | 2026-08-27 |
DOI: 10.71310/pcam.6_70.2025.10 · Maqolaning asl sahifasi
optimal quadrature formulas, extremal function, Sobolev space, optimal coefficients, Hadamard type singular integral, оптимальные квадратурные формулы, экстремальная функция, пространство Соболева, оптимальные коэффициенты, сингулярный интеграл типа Адамара
| APA | Akhmedov, D.M., Mamatova, N.H., Ахмедов, Д.М., & Маматова, Н.Х. (2026). An Optimal Method for the Approximate Solution of the Hypersingular Integral Equations. Ҳисоблаш ва амалий математика муаммолари, (6), 124-131. https://doi.org/10.71310/pcam.6_70.2025.10 |
|---|---|
| GOST (OAK) | Akhmedov, D.M. va b. An Optimal Method for the Approximate Solution of the Hypersingular Integral Equations // Ҳисоблаш ва амалий математика муаммолари. – 2026. – № 6. – P. 124-131. – DOI: 10.71310/pcam.6_70.2025.10. |
| MLA | Akhmedov, D.M., Mamatova, N.H., Ахмедов, Д.М., and Маматова, Н.Х. “An Optimal Method for the Approximate Solution of the Hypersingular Integral Equations.” Ҳисоблаш ва амалий математика муаммолари, (6), 124-131, 2026. https://doi.org/10.71310/pcam.6_70.2025.10 |
| Chicago | Akhmedov, D.M., Mamatova, N.H., Ахмедов, Д.М., and Маматова, Н.Х. “An Optimal Method for the Approximate Solution of the Hypersingular Integral Equations.” Ҳисоблаш ва амалий математика муаммолари, (6), 124-131 (2026). https://doi.org/10.71310/pcam.6_70.2025.10 |
| Harvard | Akhmedov, D.M., Mamatova, N.H., Ахмедов, Д.М., and Маматова, Н.Х (2026) ‘An Optimal Method for the Approximate Solution of the Hypersingular Integral Equations’, Ҳисоблаш ва амалий математика муаммолари, (6), 124-131. https://doi.org/10.71310/pcam.6_70.2025.10 |
| BibTeX | @article{akhmedovdm2026,
title = {An Optimal Method for the Approximate Solution of the Hypersingular Integral Equations},
author = {Akhmedov, D.M. and Mamatova, N.H. and Ахмедов, Д.М. and Маматова, Н.Х.},
journal = {Ҳисоблаш ва амалий математика муаммолари},
year = {2026},
number = {6},
pages = {124-131},
doi = {10.71310/pcam.6_70.2025.10},
url = {https://doi.org/10.71310/pcam.6_70.2025.10}
} |
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