TOR TEBRANISH VA ISSIQLIK TARQALISH MASALALARINI KORREKTLIKKA TEKSHIRISH

Authors

  • Jo‘rayev Ahliddin Ravshanjon o‘g‘li Farg’ona davlat unversiteti talabasi Author
  • Nozimov Hayotillo Bahtiyorjon o‘g‘li Farg’ona davlat unversiteti talabasi Author

Keywords:

tor tebranish, issiqlik tarqalish, matematik fizika tenglamalari, korrektlik, giperbolik tenglama, parabolik tenglama, spektral metod, boshlang‘ich va chegaraviy shartlar.

Abstract

Ushbu tezisda tor tebranish va issiqlik tarqalish tenglamalari doirasida tuzilgan matematik modellar tahlil qilinadi hamda ularning korrektlik shartlari (yechim mavjudligi, yagonaligi va uzluksiz bogʻliqligi) o‘rganiladi. Masala misol asosida spektral metod yordamida yechilib, yechimning korrektligi matematik jihatdan asoslanadi.

References

Tikhonov A.N., Arsenin V.Y. “Solutions of Ill-posed Problems.” Winston & Sons, 1977.

2. Lavrent'ev M.M. va boshqalar. “Teskari masalalar nazariyasi.” Fan, 1980.

3. Özisik M.N., Orlande H.R.B. “Inverse Heat Transfer: Fundamentals and Applications.” Taylor & Francis, 2000.

4. Kabanikhin S.I. “Definitions and examples of inverse and ill-posed problems.” J. Inverse and Ill-posed Problems, 2011.

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Published

2025-06-10

Issue

Vol. 2 No. 1 (2025): ANALYSIS OF MODERN SCIENCE AND INNOVATION

Section

Articles