SHTURM-LIUVILL CHEGARAVIY MASALALARINI SONLI USULLAR YORDAMIDA YECHISH
Keywords:
Shturm-Liuvill, chegaraviy masala, chekli ayirmalar usuli, diskretizatsiya, xos qiymat, tridiagonal matritsa, sonli yechim..Abstract
Ushbu maqolada Shturm-Liuvill chegaraviy masalalarini sonli usullar yordamida yechish metodologiyasi ko‘rib chiqiladi. Masala sifatida
chegaraviy shartlar va tanlandi. Chekli ayirmalar usuli yordamida differentsial operator diskretizatsiya qilinib, natijada tridiagonal matritsa shaklida ifodalangan xos qiymatli masala yechiladi. Maqola nafaqat nazariy asoslarni, balki misol asosida olingan yechimlarning fizik interpretatsiyasini va amaliy qo‘llanilishini ham batafsil tahlil qiladi.
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