电邮这篇文章 QUADRATURE FORMULAS FOR SINGULAR INTEGRALS CONTAINING THE VALUES OF A FUNCTION AND ITS DERIVATIVES
- 作者: Khubezhty S.S.1,2,3, Plieva L.Y.1,2,3
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隶属关系:
- K. L. Khetagurov North Ossetian State University
- Southern Mathematical Institute, branch of Vladikavkaz Scientific Center, RAS
- Financial University under the Government of the Russian Federation
- 期: 卷 64, 编号 12 (2024)
- 页面: 2303–2311
- 栏目: General numerical methods
- URL: https://journals.rcsi.science/0044-4669/article/view/279980
- DOI: https://doi.org/10.31857/S0044466924120064
- EDN: https://elibrary.ru/KCAUSX
- ID: 279980
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详细
Quadrature formulas for singular integrals on the integration interval [−1, 1] with certain weight functions 𝑝(𝑡) are constructed. The values of the function and its derivatives in zeros of the Chebyshev polynomial are used in the construction. The resulting formulas are quadrature formulas of the interpolation type and have an algebraic degree of accuracy of 2𝑚 − 1. The error estimate is given.
作者简介
Sh. Khubezhty
K. L. Khetagurov North Ossetian State University; Southern Mathematical Institute, branch of Vladikavkaz Scientific Center, RAS; Financial University under the Government of the Russian Federation
Email: shalva57@rambler.ru
Vladikavkaz branch, Republic of North Ossetia – Alania; Vladikavkaz branch, Republic of North Ossetia – Alania; Vladikavkaz branch, Republic of North Ossetia – Alania
L. Plieva
K. L. Khetagurov North Ossetian State University; Southern Mathematical Institute, branch of Vladikavkaz Scientific Center, RAS; Financial University under the Government of the Russian Federation
Email: plieva-21@mail.ru
Vladikavkaz branch, Republic of North Ossetia – Alania; Vladikavkaz branch, Republic of North Ossetia – Alania; Vladikavkaz branch, Republic of North Ossetia – Alania
参考
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- Крылов В. И. Приближенное вычисление интегралов. М.: Наука, 1967. 500 с.
- Хубежты Ш. С. Квадратурные формулы для сингулярных интегралов и некоторые их применения. Владикавказ:ЮМИВНЦ РАН, 2011. 235 с.
- Лифанов И. К. Метод сингулярных интегральных уравнений и численный эксперимент. М.: ТОО “Янус”. 1995. – 520 с.
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