MATEMATIK MODELLASHTIRISHDA FURYE, DALAMBER VA XARAKTERISTIK USULLAR
Keywords:
Kalit so‘zlar: matematik fizika tenglamalari, Furye usuli, Dalamber usuli, xarakteristik usullar, avtomodellik, to‘lqin tenglamasi, issiqlik tenglamasi.Abstract
Annotatsiya
Ushbu maqolada matematik fizika tenglamalarini yechishda qo‘llaniladigan
Furye usuli, Dalamber usuli va xarakteristik usullarning nazariy asoslari hamda amaliy
imkoniyatlari yoritilgan. Issiqlik o‘tkazuvchanlik va to‘lqin tenglamalari misolida
ushbu usullarning samaradorligi tahlil qilingan. Shuningdek, avtomodellik
tushunchasining matematik mazmuni va uning fizik jarayonlarni modellashtirishdagi
roli ochib berilgan. Mazkur yondashuvlar murakkab jarayonlarni soddalashtirish va
umumiy qonuniyatlarni aniqlash imkonini berishi asoslab beriladi. Maqola matematik
fizika va amaliy matematika yo‘nalishida tahsil olayotgan talabalar hamda
tadqiqotchilar uchun mo‘ljallangan.
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