VARIATSION PRINSIPDAN FOYDALANIB, MATEMATIK MODELLASHTIRISHNING AHAMIYATI.
Keywords:
Variatsion prinsip, funksional, Eyler–Lagranj tenglamasi, minimal harakat prinsipi, energiya funksionali, optimal boshqaruv, minimal sirt, geodeziklar, Ritz usuli, Galerkin usuli, chekli elementlar metodi, Sobolev fazolari, matematik modellashtirishAbstract
Ushbu maqolada matematik modellashtirishning variatsion prinsiplarga asoslangan metodlari yoritiladi. Lagranj funksionali, Eylеr–Lagranj tenglamalari, minimal harakat prinsipi, energiya funksionalining ekstremali kabi nazariy tushunchalar modellar qurishda qanday qo‘llanilishi ilmiy jihatdan tahlil qilinadi. Mexanika, fizik maydonlar, elastiklik nazariyasi va optimal boshqaruvga doir misollar orqali variatsion usulning amaliy ahamiyati ko‘rsatib berilgan.
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16-12-2025
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VARIATSION PRINSIPDAN FOYDALANIB, MATEMATIK MODELLASHTIRISHNING AHAMIYATI. (2025). INTERNATIONAL CONFERENCE ON MULTIDISCIPLINARY STUDIES AND EDUCATION, 2(5), 168-171. https://eoconf.com/index.php/icmse/article/view/547