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 |
| Nashr sanasi | 2026-01-11 |
| Son | 6 |
| Betlar | 124-131 |
| Til | Ingliz |
| DOI | 10.71310/pcam.6_70.2025.10 |
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
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