CHEGARADA QO'ZGALUVCHAN SUPERDIFFUZIYA TENGLAMASI UCHUN QO'YILGAN BOSHLANGʻICH CHEGARAVIY MASALANI YECHISH.
Keywords:
Superdiffuziya, Kaputo hosilasi, harakatlanuvchi chegara, Mittag-Leffler funksiyasi, Furye usuli, chegaraviy masala.Abstract
Ushbu maqolada vaqt bo‘yicha Kaputo ma’nosidagi kasr tartibli hosila qatnashgan superdiffuziya tenglamasi uchun harakatlanuvchi chegarali sohada qo‘yilgan masalaning yechimi tadqiq etiladi. Superdiffuziya jarayonlari odatda g‘ovakli muhitlarda va plazma fizikasida kuzatilib, klassik diffuziyadan tezroq tarqalish xususiyati bilan ajralib turadi. Maqolada o‘zgaruvchi sohani o‘zgarmas sohaga o‘tkazish usuli va Furye qatorlari yordamida masalaning analitik ifodasi olingan.
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