TORLAR VA SONLI FARQLAR USULI: MATEMATIK MODELLASHTIRISHNING ASOSIY VOSITALARI

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Issue: Vol. 3 No. 53 : Young scientists
Section: Maqolalar
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Farg’ona Davlat Universiteti Amaliy matematika yo‘nalishi 1- kurs magistranti
info@in-academy.uz

Abstract:

Ushbu maqolada differentsial operatorlarning sonli farqlarga asoslangan yaqinlashishlarining nazariy va amaliy jihatlari o‘rganilgan. Tor usullarining matematik asoslari, diskretlashtirish jarayoni, turli tartibli sonli farq yaqinlashish sxemalari va ularning xatolari tahlil qilingan. Birinchi, ikkinchi va to‘rtinchi tartibli hosilalar uchun optimal yaqinlashish formulalari keltirilgan, ularning yaqinlashish tartiblari va xatolari tahli qilingan. Issiqlik o‘tkazuvchanlik tenglamasi uchun turli sxemalar (anig, noanig va og’irlikli sxemalar) taqdim etilgan. Maqolada yaqinlashish xatosini kamaytirish usullari, barqarorlik muammolari va zamonaviy rivojlanishlar ham muhokama qilingan. Olingan natijalar hisoblash matematikasi, sonli usullar va matematik fizika sohalarida amaliy qo‘llanilishi mumkin.

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How to Cite:

Azimjonova , S. . (2025). TORLAR VA SONLI FARQLAR USULI: MATEMATIK MODELLASHTIRISHNING ASOSIY VOSITALARI. Young Scientists, 3(53), 80–84. Retrieved from https://in-academy.uz/index.php/yo/article/view/68996

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