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Yuqori tartibli hosila qatnashgan issiqlik tarqalish tenglamasi uchun teskari masala
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Mazkur maqolada yuqori tartibli hosila qatnashgan issiqlik tarqalish tenglamasi uchun teskari masala o‘rganilgan. Avvalo, issiqlik tenglamasi uchun to‘g‘ri masalaning yechimi aniq ko‘rinishda keltirilib, uning mavjudligi va yagonaligi uchun yetarli shartlar aniqlanadi. Teskari masala boshlang‘ich-chegaraviy masala yechimiga asoslangan holda boshlang‘ich shartlarni aniqlash orqali qaraladi. Tadqiqotda Furye qatorlari va xos funksiyalar tizimidan foydalanib, teskari masalaning yagona yechimi mavjudligi isbotlanadi. Olingan yechimlarning absolyut va tekis yaqinlashuvi tegishli lemmalar va teoremalar yordamida asoslanadi. Natijada issiqlik tarqalish tenglamasi uchun noma’lum manba funksiyasini aniqlash masalasining yechimlari konstruktiv usulda qurilgan
Renaissance Educational University
Title: Yuqori tartibli hosila qatnashgan issiqlik tarqalish tenglamasi uchun teskari masala
Description:
Mazkur maqolada yuqori tartibli hosila qatnashgan issiqlik tarqalish tenglamasi uchun teskari masala o‘rganilgan.
Avvalo, issiqlik tenglamasi uchun to‘g‘ri masalaning yechimi aniq ko‘rinishda keltirilib, uning mavjudligi va yagonaligi uchun yetarli shartlar aniqlanadi.
Teskari masala boshlang‘ich-chegaraviy masala yechimiga asoslangan holda boshlang‘ich shartlarni aniqlash orqali qaraladi.
Tadqiqotda Furye qatorlari va xos funksiyalar tizimidan foydalanib, teskari masalaning yagona yechimi mavjudligi isbotlanadi.
Olingan yechimlarning absolyut va tekis yaqinlashuvi tegishli lemmalar va teoremalar yordamida asoslanadi.
Natijada issiqlik tarqalish tenglamasi uchun noma’lum manba funksiyasini aniqlash masalasining yechimlari konstruktiv usulda qurilgan.
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