KIRISH….................................................................................................... 3I BOB. NOCHIZIQLI TIPDAGI MASALALAR........................................ 51.1-§ Issiqlik tarqalish jarayonining matematik modellari va ularning tadqiq usullari.......................................................................................................... 61.2-§ Ikki karra nochiziqli parabolik tenglamalar va ularning xossalari 10I bob bo’yicha xulosa......................................................................... 16BOB. IKKI KARRA NOCHIZIQLI PARABOLIK TENGLAMALAR VA ULARNING GAMILTON-YAKOBI TENGLAMASI BILANIFODALANISHI....................................................................................... 172.1-§ Ikki karra nochiziqli parabolik tenglamaning avtomodel yechimi 172.2-§ Gamilton-Yakobi tenglamasining yechimlari orqali nochiziqli ikkinchi tartibli parabolik tenglamalarning ifodalanishi.................................. 19II bob bo’yichaxulosa…..................................................................... 23BOB. GAMILTON-YAKOBI TENGLAMASINING YECHIMI BAHOSI 243.1-§ Nochiziqli ikkinchitartibli issiqlik tarqalish tanglamasi vagamilton-yakobi tenglamasi yechim xossalarini solishtirish............................ 243.2-§ Ayirmali sxemalar va yechish usuli............................................ 32III bob bo’yicha xulosa…................................................................... 40XULOSA................................................................................................... 41FOYDALANILGAN ADABIYOTLAR..................................................... 42ILOVA...................................................................................................... 45