Maple dasturida differensial tenglamalarni sonli yechimini runge-kutta usulidan foydalanib topish.

Otaqulov, Oybek, Nasriddinov, Otadavlat, Isomiddinova, Odilaxon

FarDU ilmiy xabarlari · 2023-yil

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.

Maqola ma’lumotlari
MualliflarOtaqulov, Oybek, Nasriddinov, Otadavlat, Isomiddinova, Odilaxon
JurnalFarDU ilmiy xabarlari
NashriyotFarg‘ona davlat universiteti
ISSN2010-8419, 2181-1571
Nashr sanasi2023-10-26
Jild29
Son2
Betlar128-128
TilO‘zbek
DOI10.56292/sjfsu/vol29_iss2/a128
Indeksga qo‘shilgan2026-09-06

DOI: 10.56292/sjfsu/vol29_iss2/a128 · Maqolaning asl sahifasi

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., Maple program, first-order ordinary differential equation, numerical methods, Cauchy problem, Runge-Kutta method, boundary conditions, initial condition, Euler's method, approximate solution, Runge-Kutta coefficients.

Iqtibos keltirish

APAOtaqulov, Oybek, Nasriddinov, Otadavlat, & Isomiddinova, Odilaxon (2023). MAPLE DASTURIDA DIFFERENSIAL TENGLAMALARNI SONLI YECHIMINI RUNGE-KUTTA USULIDAN FOYDALANIB TOPISH.. FarDU ilmiy xabarlari, 29(2), 128-128. https://doi.org/10.56292/sjfsu/vol29_iss2/a128
GOST (OAK)Otaqulov, Oybek, Nasriddinov, Otadavlat, Isomiddinova, Odilaxon MAPLE DASTURIDA DIFFERENSIAL TENGLAMALARNI SONLI YECHIMINI RUNGE-KUTTA USULIDAN FOYDALANIB TOPISH. // FarDU ilmiy xabarlari. – 2023. – T. 29, № 2. – B. 128-128. – DOI: 10.56292/sjfsu/vol29_iss2/a128.
MLAOtaqulov, Oybek, Nasriddinov, Otadavlat, and Isomiddinova, Odilaxon. “MAPLE DASTURIDA DIFFERENSIAL TENGLAMALARNI SONLI YECHIMINI RUNGE-KUTTA USULIDAN FOYDALANIB TOPISH..” FarDU ilmiy xabarlari, 29(2), 128-128, 2023. https://doi.org/10.56292/sjfsu/vol29_iss2/a128
ChicagoOtaqulov, Oybek, Nasriddinov, Otadavlat, and Isomiddinova, Odilaxon. “MAPLE DASTURIDA DIFFERENSIAL TENGLAMALARNI SONLI YECHIMINI RUNGE-KUTTA USULIDAN FOYDALANIB TOPISH..” FarDU ilmiy xabarlari, 29(2), 128-128 (2023). https://doi.org/10.56292/sjfsu/vol29_iss2/a128
HarvardOtaqulov, Oybek, Nasriddinov, Otadavlat, and Isomiddinova, Odilaxon (2023) ‘MAPLE DASTURIDA DIFFERENSIAL TENGLAMALARNI SONLI YECHIMINI RUNGE-KUTTA USULIDAN FOYDALANIB TOPISH.’, FarDU ilmiy xabarlari, 29(2), 128-128. https://doi.org/10.56292/sjfsu/vol29_iss2/a128
BibTeX
@article{otaqulovoybek2023,
  title = {MAPLE DASTURIDA DIFFERENSIAL TENGLAMALARNI SONLI YECHIMINI RUNGE-KUTTA USULIDAN FOYDALANIB TOPISH.},
  author = {Otaqulov, Oybek and Nasriddinov, Otadavlat and Isomiddinova, Odilaxon},
  journal = {FarDU ilmiy xabarlari},
  year = {2023},
  volume = {29},
  number = {2},
  pages = {128-128},
  doi = {10.56292/sjfsu/vol29_iss2/a128},
  url = {https://doi.org/10.56292/sjfsu/vol29_iss2/a128}
}

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