CHIZIQLI BO’LMAGAN EMDEN-FOULER TENGLAMALARI UCHUN MASALALARNI SONLI YECHISH USULLARI
Ключевые слова:
Emden-Fouler tenglamasi, Runge-Kutta usuli, chekli farqlar usuli, chiziqli bo’lmagan differensial tenglama, chegaraviy masala, singularlik.Аннотация
Ushbu maqolada chiziqli bo’lmagan Emden-Fouler tenglamasi uchun chegaraviy va boshlang’ich masalalarni yechishda qo’llaniladigan ikkita asosiy sonli usul Runge-Kutta usuli va chekli farqlar usuli tahlil qilinadi. Har bir usulning matematik asosi, algoritmik tuzilishi va hisoblash samaradorligi ko’rib chiqiladi.x = 0 nuqtasidagi singularlik cheksiz kichik nisbatlar qoidasi va Teylor qatori yordamida tartibga solinadi. Turli parametrlar uchun olingan natijalar taqqoslanib, usullarning aniqlik va qo’llanilish sohalari bo’yicha tavsiyalar beriladi.
Библиографические ссылки
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