The approximate solution of linear Fredholm integral equations of the second kind is one of the pressing problems in the field of computational mathematics today. Most researchers offer various approximate methods for solving integral equations. This work is devoted to comparing various approximate methods for solving linear Fredholm equations of the second kind. The main goal of the work is to determine the most effective method. Our method is the use of optimal quadrature formulas with derivatives to solve linear Fredholm integral equations of the second kind. The effectiveness of the method depends on the accuracy of the results. In this case, the exact solution was used to compare the results. The effectiveness of this method is proven.
| 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 | 2025-01-03 |
| Son | 4/2 |
| Betlar | 118-133 |
| Til | Ingliz |
| Ilmiy soha | Fizika-matematika |
| Indeksga qo‘shilgan | 2026-08-27 |
linear integral equation, optimal quadrature formula, quadrature formula with derivatives, system of algebraic equations, maximum absolute error, линейное интегральное уравнение, оптимальная квадратурная формула, квадратурная формула с производными, система алгебраических уравнений, максимальная абсолютная погрешность
| APA | Shadimetov, Kh.M., Usmanov, Kh.I., Шадиметов, Х.М., & Усманов, Х.И. (2025). Comparison of the Results of the Approximate Solution of Linear Fredholm Integral Equations of the Second Kind by Various Methods. Ҳисоблаш ва амалий математика муаммолари, (4/2), 118-133. https://journals.airi.uz/index.php/pvpm/article/view/69 |
|---|---|
| GOST (OAK) | Shadimetov, Kh.M. va b. Comparison of the Results of the Approximate Solution of Linear Fredholm Integral Equations of the Second Kind by Various Methods // Ҳисоблаш ва амалий математика муаммолари. – 2025. – № 4/2. – P. 118-133. |
| MLA | Shadimetov, Kh.M., Usmanov, Kh.I., Шадиметов, Х.М., and Усманов, Х.И. “Comparison of the Results of the Approximate Solution of Linear Fredholm Integral Equations of the Second Kind by Various Methods.” Ҳисоблаш ва амалий математика муаммолари, (4/2), 118-133, 2025. https://journals.airi.uz/index.php/pvpm/article/view/69 |
| Chicago | Shadimetov, Kh.M., Usmanov, Kh.I., Шадиметов, Х.М., and Усманов, Х.И. “Comparison of the Results of the Approximate Solution of Linear Fredholm Integral Equations of the Second Kind by Various Methods.” Ҳисоблаш ва амалий математика муаммолари, (4/2), 118-133 (2025). https://journals.airi.uz/index.php/pvpm/article/view/69 |
| Harvard | Shadimetov, Kh.M., Usmanov, Kh.I., Шадиметов, Х.М., and Усманов, Х.И (2025) ‘Comparison of the Results of the Approximate Solution of Linear Fredholm Integral Equations of the Second Kind by Various Methods’, Ҳисоблаш ва амалий математика муаммолари, (4/2), 118-133. https://journals.airi.uz/index.php/pvpm/article/view/69 |
| BibTeX | @article{shadimetovkhm2025,
title = {Comparison of the Results of the Approximate Solution of Linear Fredholm Integral Equations of the Second Kind by Various Methods},
author = {Shadimetov, Kh.M. and Usmanov, Kh.I. and Шадиметов, Х.М. and Усманов, Х.И.},
journal = {Ҳисоблаш ва амалий математика муаммолари},
year = {2025},
number = {4/2},
pages = {118-133},
url = {https://journals.airi.uz/index.php/pvpm/article/view/69}
} |
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