The paper considers the application of the optimal quadrature formula in the space to numerical solution of linear Fredholm integral equations of the second kind. The results of specific examples are analyzed. The exact solution is used to compare the results. It is proved that as m increases, the optimal quadrature formulas in the space give high accuracy for solving the integral equation.
| Mualliflar | Shadimetov, Kh.M., Usmanov, Kh.I., Шадиметов, Х.М., Усманов, Х.И. |
|---|---|
| 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 | 2024-05-21 |
| Son | 1 |
| Betlar | 140-161 |
| Til | Ingliz |
| Ilmiy soha | Fizika-matematika |
| Indeksga qo‘shilgan | 2026-08-27 |
linear integral equation, optimal quadrature formula, coefficients of optimal quadrature formula, absolute error, линейное интегральное уравнение, оптимальная квадратурная формула, коэффициенты оптимальной квадратурной формулы, абсолютная погрешность
| APA | Shadimetov, Kh.M., Usmanov, Kh.I., Шадиметов, Х.М., & Усманов, Х.И. (2024). APPROXIMATE SOLUTION OF LINEAR FREDHOLM INTEGRAL EQUATIONS OF THE SECOND KIND BY THE METHOD OPTIMAL QUADRATURES. Ҳисоблаш ва амалий математика муаммолари, (1), 140-161. https://journals.airi.uz/index.php/pvpm/article/view/9 |
|---|---|
| GOST (OAK) | Shadimetov, Kh.M. va b. APPROXIMATE SOLUTION OF LINEAR FREDHOLM INTEGRAL EQUATIONS OF THE SECOND KIND BY THE METHOD OPTIMAL QUADRATURES // Ҳисоблаш ва амалий математика муаммолари. – 2024. – № 1. – P. 140-161. |
| MLA | Shadimetov, Kh.M., Usmanov, Kh.I., Шадиметов, Х.М., and Усманов, Х.И. “APPROXIMATE SOLUTION OF LINEAR FREDHOLM INTEGRAL EQUATIONS OF THE SECOND KIND BY THE METHOD OPTIMAL QUADRATURES.” Ҳисоблаш ва амалий математика муаммолари, (1), 140-161, 2024. https://journals.airi.uz/index.php/pvpm/article/view/9 |
| Chicago | Shadimetov, Kh.M., Usmanov, Kh.I., Шадиметов, Х.М., and Усманов, Х.И. “APPROXIMATE SOLUTION OF LINEAR FREDHOLM INTEGRAL EQUATIONS OF THE SECOND KIND BY THE METHOD OPTIMAL QUADRATURES.” Ҳисоблаш ва амалий математика муаммолари, (1), 140-161 (2024). https://journals.airi.uz/index.php/pvpm/article/view/9 |
| Harvard | Shadimetov, Kh.M., Usmanov, Kh.I., Шадиметов, Х.М., and Усманов, Х.И (2024) ‘APPROXIMATE SOLUTION OF LINEAR FREDHOLM INTEGRAL EQUATIONS OF THE SECOND KIND BY THE METHOD OPTIMAL QUADRATURES’, Ҳисоблаш ва амалий математика муаммолари, (1), 140-161. https://journals.airi.uz/index.php/pvpm/article/view/9 |
| BibTeX | @article{shadimetovkhm2024,
title = {APPROXIMATE SOLUTION OF LINEAR FREDHOLM INTEGRAL EQUATIONS OF THE SECOND KIND BY THE METHOD OPTIMAL QUADRATURES},
author = {Shadimetov, Kh.M. and Usmanov, Kh.I. and Шадиметов, Х.М. and Усманов, Х.И.},
journal = {Ҳисоблаш ва амалий математика муаммолари},
year = {2024},
number = {1},
pages = {140-161},
url = {https://journals.airi.uz/index.php/pvpm/article/view/9}
} |
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