KIRISH….................................................................................................... 3 I BOB. NOCHIZIQLI TIPDAGI MASALALAR........................................ 5 1.1-§ Issiqlik tarqalish jarayonining matematik modellari va ularning tadqiq usullari.......................................................................................................... 6 1.2-§ Ikki karra nochiziqli parabolik tenglamalar va ularning xossalari 10 I bob bo’yicha xulosa......................................................................... 16 BOB. IKKI KARRA NOCHIZIQLI PARABOLIK TENGLAMALAR VA ULARNING GAMILTON-YAKOBI TENGLAMASI BILANIFODALANISHI....................................................................................... 17 2.1-§ Ikki karra nochiziqli parabolik tenglamaning avtomodel yechimi 17 2.2-§ Gamilton-Yakobi tenglamasining yechimlari orqali nochiziqli ikkinchi tartibli parabolik tenglamalarning ifodalanishi.................................. 19 II bob bo’yichaxulosa…..................................................................... 23 BOB. GAMILTON-YAKOBI TENGLAMASINING YECHIMI BAHOSI 243.1-§ Nochiziqli ikkinchitartibli issiqlik tarqalish tanglamasi va gamilton-yakobi tenglamasi yechim xossalarini solishtirish............................ 24 3.2-§ Ayirmali sxemalar va yechish usuli............................................ 32 III bob bo’yicha xulosa…................................................................... 40 XULOSA................................................................................................... 41 FOYDALANILGAN ADABIYOTLAR..................................................... 42 ILOVA...................................................................................................... 45