| Issue |
E3S Web of Conf.
Volume 508, 2024
International Conference on Green Energy: Intelligent Transport Systems - Clean Energy Transitions (GreenEnergy 2023)
|
|
|---|---|---|
| Article Number | 04007 | |
| Number of page(s) | 11 | |
| Section | Mathematical Physics and Mathematics | |
| DOI | https://doi.org/10.1051/e3sconf/202450804007 | |
| Published online | 05 April 2024 | |
Optimal quadrature formulas in Sobolev space for solving the generalized Abel integral equation
Ferghana Branch of Tashkent University of Information Technology, Fergana, Uzbekistan
* Corresponding author: bahtiyordaliyev@gmail.com
In this article, a composite optimal quadrature formula is constructed for an approximate analytical solution of the generalized integral Abel equation in the Sobolev functional space. The optimal coefficients of this quadrature formula have been found. In addition, using the constructed composite optimal quadrature formula, numerical results of examples of the generalized Abel integral equation were obtained and compared with the exact solution.
Key words: Sobolev space / optimal quadrature formulas / error functional / norm / optimal coefficients
© The Authors, published by EDP Sciences, 2024
This is an Open Access article distributed under the terms of the Creative Commons Attribution License 4.0, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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