Keywords
Abstract
Ushbu tezisda doira shaklidagi hududlarda kasr tartibli subdiffuziya tenglamasi uchun yechimlarni qurish masalasi o‘rganildi. Tadqiqotda Caputo turidagi kasr hosiladan foydalangan holda vaqt bo‘yicha xotira effektlari hisobga olindi. Doira sohasidagi masalalarni yechishda Bessel funksiyalari va spektral kengaytma yondoshuvi qo‘llanildi, vaqt bo‘yicha yechimlar Mittag‑Leffler funksiyasi orqali ifodalandi. Shuningdek, sonli yechimlarni olish uchun L1 taqribiylash sxemasi keltirildi. Tadqiqot natijalari murakkab muhitlarda subdiffuziya jarayonlarini tavsiflashda kasr tartibli modellarning samaradorligini ko‘rsatadi.
References
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