KVAZICHIZIQLI ISSIQLIK TARQALISH TENGLAMASINING QO‘YILISHI VA MATEMATIK TAHLILI
Keywords:
issiqlik tarqalishi, kvazichiziqli tenglama, parabolik tenglama, Furye qonuni, energiya saqlanishi, matematik modellashtirish, sonli usullar.Abstract
Ushbu maqolada kvazichiziqli issiqlik tarqalish tenglamasining fizik va matematik asoslari o‘rganilgan. Issiqlik o‘tkazuvchanlik jarayonlarini modellashtirishda energiyaning saqlanish qonuni va Furye qonunidan kelib chiqib, kvazichiziqli parabolik tenglamaning hosil qilinishi bayon etilgan. Shuningdek, tenglamaning boshlang‘ich va chegaraviy shartlari, matematik klassifikatsiyasi, yechimning mavjudligi va yagonaligi masalalari hamda amaliy tatbiqlari tahlil qilingan. Zamonaviy muhandislik va fizika masalalarida mazkur tenglamaning ahamiyati ko‘rsatib berilgan.
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