SPEKTRAL METODLARNING YAQINLASHUV TEZLIGI VA ANIQLIGINI BAHOLASH USULLARI
Keywords:
Spektral metodlar, yaqinlashuv tezligi, aniqlik, xatolik normasi, Fourier metodlariAbstract
Mazkur maqolada spektral metodlarning yaqinlashuv tezligi va aniqligini baholash usullari atroflicha tahlil qilinadi. Tadqiqotda Fourier va Chebyshev spektral metodlari asosida xatolik normasi, spektral koeffitsiyentlar kamayish tezligi hamda diskretizatsiya xatoliklari o‘rganiladi. Shuningdek, funksiyaning silliqligi va chegaraviy shartlarning yaqinlashuvga ta’siri yoritiladi. Olingan natijalar spektral metodlarning yuqori aniqlikdagi sonli modellashtirishdagi ustunliklarini ko‘rsatadi va ularni amaliy masalalarda samarali qo‘llash imkoniyatlarini asoslab beradi
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