ISSIQLIK TARQALISH TENGLAMASI UCHUN TESKARI KOSHI MASALASI
Keywords:
Kalit so‘zlar: Teskari masala, issiqlik tenglamasi, Koshi masalasi, nokorrektlik, muntazamlashtirish, Tixonov usuli, turg`unlik.Abstract
Annotatsiya: Mazkur maqolamizda issiqlik tarqalish tenglamasi uchun teskari Koshi masalasi ko‘rib chiqdik. Ushbu masalaning matematik mohiyati, yechimning mavjudligi, yagona bo‘lishi va turg`unligi muammolari tahlil qildik. Teskari Koshi masalasining nokorrektligi va uni yechishda qo‘llaniladigan muntazamlashtirish usullari (regulyarizatsiya) nazariy va amaliy misollar bilan ko‘rsatib beramiz.
References
1. Тихонов А.Н., Арсенин В.Я. Metody resheniya nekorrektnykh zadach. — M.: Nauka, 1979.
2. Lavrentiev M.M., Romanov V.G., Shishatskii S.P. Ill-posed Problems of Mathematical Physics and Analysis. — AMS, 1986.
3. Isakov V. Inverse Problems for Partial Differential Equations. — Springer, 2006.
4. Kabanikhin S.I. Inverse and Ill-Posed Problems: Theory and Applications. — De Gruyter, 2011.
5. Özarslan M.A., Yamamoto M. Inverse Heat Source Problems. — In: Inverse Problems and Related Topics, Springer, 2019.
