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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 BILAN IFODALANISHI....................................................................................... 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     24 3.1-§ 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

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