In this work, we obtain explicit estimates for the accuracy of an approximation solution scheme for ODEs. The scheme is of the fourth order and based on the Taylor formula. Here we derive estimates with explicit constants, which are expressed by the derivatives of the right-hand side.
| Mualliflar | Abdullaev, Abdugani, Azamov, Abdulla, Ruziboev, Marks, Tilavov, Asliddin |
|---|---|
| Jurnal | O‘zbekiston matematika jurnali |
| Nashriyot | Ўзбекистон Республикаси ФА Математика институти |
| ISSN | 2010-7269 |
| Nashr sanasi | 2026-07-02 |
| Jild | 70 |
| Son | 2 |
| Betlar | 5-14 |
| Til | Ingliz |
| Ilmiy soha | Fizika-matematika |
| DOI | 10.29229/uzmj.2026-2-1 |
| Indeksga qo‘shilgan | 2026-08-26 |
DOI: 10.29229/uzmj.2026-2-1 · Maqolaning asl sahifasi
Dynamical system, Cauchy problem, approximate solution, Taylor formula, Gronwall’s lemma, solution accuracy, accuracy level, error estimation.
| APA | Abdullaev, Abdugani, Azamov, Abdulla, Ruziboev, Marks, & Tilavov, Asliddin (2026). On the accuracy of approximate solution scheme based on the Taylor formula fora Cauchy problem for ODEs. O‘zbekiston matematika jurnali, 70(2), 5-14. https://doi.org/10.29229/uzmj.2026-2-1 |
|---|---|
| GOST (OAK) | Abdullaev, Abdugani va b. On the accuracy of approximate solution scheme based on the Taylor formula fora Cauchy problem for ODEs // O‘zbekiston matematika jurnali. – 2026. – T. 70, № 2. – P. 5-14. – DOI: 10.29229/uzmj.2026-2-1. |
| MLA | Abdullaev, Abdugani, Azamov, Abdulla, Ruziboev, Marks, and Tilavov, Asliddin. “On the accuracy of approximate solution scheme based on the Taylor formula fora Cauchy problem for ODEs.” O‘zbekiston matematika jurnali, 70(2), 5-14, 2026. https://doi.org/10.29229/uzmj.2026-2-1 |
| Chicago | Abdullaev, Abdugani, Azamov, Abdulla, Ruziboev, Marks, and Tilavov, Asliddin. “On the accuracy of approximate solution scheme based on the Taylor formula fora Cauchy problem for ODEs.” O‘zbekiston matematika jurnali, 70(2), 5-14 (2026). https://doi.org/10.29229/uzmj.2026-2-1 |
| Harvard | Abdullaev, Abdugani, Azamov, Abdulla, Ruziboev, Marks, and Tilavov, Asliddin (2026) ‘On the accuracy of approximate solution scheme based on the Taylor formula fora Cauchy problem for ODEs’, O‘zbekiston matematika jurnali, 70(2), 5-14. https://doi.org/10.29229/uzmj.2026-2-1 |
| BibTeX | @article{abdullaevabdugani2026,
title = {On the accuracy of approximate solution scheme based on the Taylor formula fora Cauchy problem for ODEs},
author = {Abdullaev, Abdugani and Azamov, Abdulla and Ruziboev, Marks and Tilavov, Asliddin},
journal = {O‘zbekiston matematika jurnali},
year = {2026},
volume = {70},
number = {2},
pages = {5-14},
doi = {10.29229/uzmj.2026-2-1},
url = {https://doi.org/10.29229/uzmj.2026-2-1}
} |
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