MAPLE DASTURIDA DIFFERENSIAL TENGLAMALARNI SONLI YECHIMINI RUNGE-KUTTA USULIDAN FOYDALANIB TOPISH.

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Nashr qilingan: okt 26, 2023
Kalit so‘zlar:
Maple dasturi, birinchi tartibli oddiy differensial tenglama, sonli usullar, taqribiy yechim, Koshi masalasi, Eyler usuli, Runge-Kutta usuli, chegaraviy shartlar, boshlang‘ich shart, Runge-Kutta koeffitsientlari.

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Otaqulov Oybek Xamdamovich
Fergana branch of Tashkent University of Information Technologies
Nasriddinov Otadavlat Usubjonovich
Fergana branch of Tashkent University of Information Technologies
Isomiddinova Odilaxon Sultonmurodovna
Fergana branch of Tashkent University of Information Technologies

Annotatsiya

Ko‘pchilik fizik jarayonlar, tabiatshunoslik, texnikaning ko‘pgina masalalari qaralayotgan hodisa yoki jarayonni tavsiflaydigan noma’lum funksiyani topishga keltiriladi. Bunday amaliy masalalarni hal etishda jadval shaklida yoki murakkab analitik ifoda shaklida berilgan funksiyaning turli tartibli hosilalarining qiymatlarini hisoblashga to‘g‘ri keladi. Bunday hollarda differensial hisob usullarini tatbiq etishning yo iloji bo‘lmaydi, yoki bu juda qiyin bo‘ladi. Shuning uchun ularga taqribiy sonli usullar qo‘llaniladi. Bu usullardan biri Runge-Kutta usuli bo‘lib, o‘zining sermehnatligiga qaramasdan differensial tenglamalarni kompyuterda sonli yechishda keng qo‘llaniladi.


Mazkur maqolada boshlang‘ich shartlari bilan berilgan differensial tenglama(Koshi masalasi)ni sonli yechishning yuqori aniqlikdagi usullaridan biri hisoblangan Runge-Kutta usulida Maple dasturida yechib natija olingan.

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Qanday qilib iqtibos keltirish kerak
Otaqulov, O., Nasriddinov, O., & Isomiddinova, O. (2023). MAPLE DASTURIDA DIFFERENSIAL TENGLAMALARNI SONLI YECHIMINI RUNGE-KUTTA USULIDAN FOYDALANIB TOPISH. Farg’ona Davlat Universiteti, 29(2), 128. Retrieved from https://journal.fdu.uz/index.php/sjfsu/article/view/2382
Maqola
№. 2 (2023): FarDU ilmiy xabarlar jurnali (Aniq va tabiiy fanlar)
Bo‘lim
Fizika-texnika
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Mualliflar biografiyasi

Otaqulov Oybek Xamdamovich, Fergana branch of Tashkent University of Information Technologies

Toshkent axborot texnologiyalari universiteti Farg‘ona filiali, dotsent

Nasriddinov Otadavlat Usubjonovich, Fergana branch of Tashkent University of Information Technologies

Toshkent axborot texnologiyalari universiteti Farg‘ona filiali, katta o‘qituvchi

Isomiddinova Odilaxon Sultonmurodovna, Fergana branch of Tashkent University of Information Technologies

Toshkent axborot texnologiyalari universiteti Farg‘ona filiali, magistr

Foydalaniladigan adabiyotlar

O‘rinov Q, Mirzakarimov E.M. Differensial tenglamalar Maple tizimida. “Farg‘ona” nashriyoti 2020.-264 bet ( Differential equations in the Maple system. “Fergana” publishing house 2020.-264.)

Abdirashidov A. Abdurashidov A.A. Nishonov O‘.A. Kasimova F.U. Birinchi tartibli oddiy differensial tenglamalarni bir qadamli sonli usullar yordamida yechish. Uslubiy koʻrsatma. – Samarqand: SamDU nashri, 2018. – 56 bet. (Solving first-order ordinary differential equations using one-step numerical methods. Methodological instruction. - Samarkand: SamDU publication, 2018. - 56 pages.)

Imomov.A. Mapleda matematik masalalarni yechish.Uslubiy qo‘llanma. Namangan, NamDU, 2011,-84 bet.( Solving mathematical problems in Maple. Methodical guide. Namangan, NamDU, 2011, page-84.)