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Giperbolik sistemalar uchun oshkor ayirmali sxemalarning urg'unligi.

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Hisoblash va amaliy matematika muammolari

Hisoblash va amaliy matematika muammolari

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MAQOLA ANNOTATSIYASI

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Maqolada giperbolik tipdagi xususiy hosilali differensial tenglamalar sistemasining (giperbolik sistemalarning) sonli yechimlarini topish uchun zamonaviy hisoblash metodlari quriladi va tadqiq etiladi. Giperbolik tenglamalar sistemasi fizikaning turli sohalarida, akustika, gaz dinamikasi, elastiklik nazariyasi, magnit gidrodinamikasi, mayda suv tenglamalari va boshqa sohalarda uchraydi. Turli sonli metodlarni yagona yondashuv orqali tadqiq etish maqsadida maqolada bir o`lchovli va ko`p o`lchovli xususiy hosilali chiziqli va chiziqsiz giperbolik tenglamalar yechishda qo`llaniladigan ishonchli zamonaviy hisoblash metodlarini yaratishga harakat qilingan. Godunov, Laks, Rusanov va yangi oshkor ayirmali sxemalarning turg`unligi tadqiq etilgan. Maqoladagi natijalar dastlabki differensial masala yechimining mavjud va yagonaligini ta`minlaydi.

MUALLIFLAR

R.Aloyev

Mirzo Ulug'bek nomidagi O'zbekiston Milliy universiteti

M.Xudoyberganov

Mirzo Ulug'bek nomidagi O'zbekiston Milliy universiteti

Teglar

# stability# устойчивость# difference scheme# hyperbolic system# разностная схема# гиперболическая система# ayirmali sxema# giperbolik sistema# turg`unlik

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Maqola idintifikatorlari

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https://eroi.uz/11.0007/A1119-0035

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Mavjud emas

Foydalanilgan adabiyotlar

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