This article presents a numerical solution to the boundary inverse problem for the equation of relaxation filtration in porous media under elastic conditions. To solve the problem, the marching method of De Sousa was used. It is shown that with increasing distance between the “initial data” measurement point and the boundary of the region, the error in the results increases. To obtain stable solutions, step regularization and smoothing splines were used.
| Mualliflar | Kholiyarov, E.Ch., Turaev, D.Sh., Buriev, J.N., Холияров, Э.Ч., Тураев, Д.Ш., Буриев, Ж.Н. |
|---|---|
| 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 | 2024-07-19 |
| Son | 3 |
| Betlar | 36-46 |
| Til | Ingliz |
| Ilmiy soha | Fizika-matematika |
| Indeksga qo‘shilgan | 2026-08-27 |
inverse problem, approximation, regularization, solution stability, smoothing splines, обратная задача, аппроксимация, регуляризация, устойчивость решения, сглаживающие сплайны
| APA | Kholiyarov, E.Ch., Turaev, D.Sh., Buriev, J.N., Холияров, Э.Ч., Тураев, Д.Ш., & Буриев, Ж.Н. (2024). Numerical solution of the boundary inverse problem for the relaxation filtration equation. Ҳисоблаш ва амалий математика муаммолари, (3), 36-46. https://journals.airi.uz/index.php/pvpm/article/view/21 |
|---|---|
| GOST (OAK) | Kholiyarov, E.Ch. va b. Numerical solution of the boundary inverse problem for the relaxation filtration equation // Ҳисоблаш ва амалий математика муаммолари. – 2024. – № 3. – P. 36-46. |
| MLA | Kholiyarov, E.Ch., Turaev, D.Sh., Buriev, J.N., Холияров, Э.Ч., Тураев, Д.Ш., and Буриев, Ж.Н. “Numerical solution of the boundary inverse problem for the relaxation filtration equation.” Ҳисоблаш ва амалий математика муаммолари, (3), 36-46, 2024. https://journals.airi.uz/index.php/pvpm/article/view/21 |
| Chicago | Kholiyarov, E.Ch., Turaev, D.Sh., Buriev, J.N., Холияров, Э.Ч., Тураев, Д.Ш., and Буриев, Ж.Н. “Numerical solution of the boundary inverse problem for the relaxation filtration equation.” Ҳисоблаш ва амалий математика муаммолари, (3), 36-46 (2024). https://journals.airi.uz/index.php/pvpm/article/view/21 |
| Harvard | Kholiyarov, E.Ch., Turaev, D.Sh., Buriev, J.N., Холияров, Э.Ч., Тураев, Д.Ш., and Буриев, Ж.Н (2024) ‘Numerical solution of the boundary inverse problem for the relaxation filtration equation’, Ҳисоблаш ва амалий математика муаммолари, (3), 36-46. https://journals.airi.uz/index.php/pvpm/article/view/21 |
| BibTeX | @article{kholiyarovech2024,
title = {Numerical solution of the boundary inverse problem for the relaxation filtration equation},
author = {Kholiyarov, E.Ch. and Turaev, D.Sh. and Buriev, J.N. and Холияров, Э.Ч. and Тураев, Д.Ш. and Буриев, Ж.Н.},
journal = {Ҳисоблаш ва амалий математика муаммолари},
year = {2024},
number = {3},
pages = {36-46},
url = {https://journals.airi.uz/index.php/pvpm/article/view/21}
} |
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