Variant-1 Nyutonning 1-interpolyatsion ko’phadi haqida ma’lumot bering. Oddiy differensial tenglama uchun chegaraviy masalaning qo’yilishi. Quyidagi integralni trapetsiya formulasi yordamida hisoblang

Tuzuvchi: T.A.Nuraliyev
Variant-13

1. 
   Nyutonning 2-interpolyatsion ko’phadi haqida ma’lumot bering.
   
2. 
   Oddiy differensial tenglamalar (ODT) uchun qo`yilgan chegaraviy masalalarni yechishning Galyorkin usuli haqida ma’lumot bering.
   
3. 
   Quyidagi integralni Simpson formulasi yordamida hisoblang.
   
4. 
   Quyidagi birinchi tartibli differentsial tenglamalar uchun Koshi masalasini ko'rsatilgan kesmada h=0,1 qadam bilan Runge-Kutta usulida yeching. y'=2x+y² y(0)=0, [0;1]
   

Tuzuvchi: T.A.Nuraliyev


Variant-14

1. 
   Sonli differensiallashda Nyuton interpolyatsion ko’phadidan foydalanish haqida ma’lumot bering.
   
2. 
   Oddiy differensial tenglamalar (ODT) uchun qo`yilgan chegaraviy masalalarni yechishning integral eng kichik kvadratlar usuli haqida ma’lumot bering.
   
3. 
   Quyidagi integralni Simpson formulasi yordamida hisoblang.
   
4. 
   Quyidagi birinchi tartibli differentsial tenglamalar uchun Koshi masalasini ko'rsatilgan kesmada h=0,1 qadam bilan Runge-Kutta usulida yeching. y'=y²-2x²; y(1)=1, [1;2]
   

Tuzuvchi: T.A.Nuraliyev

Variant-15

1. 
   Aniq integralni hisoblashda to’g’ri to’rtburchak formulasi haqida ma’lumot bering.
   
2. 
   Oddiy differensial tenglamalar (ODT) uchun qo`yilgan chegaraviy masalalarni yechishning sohachalar usuli haqida ma’lumot bering.
   
3. 
   Quyidagi integralni Simpson formulasi yordamida hisoblang.
   
4. 
   Quyidagi birinchi tartibli differentsial tenglamalar uchun Koshi masalasini ko'rsatilgan kesmada h=0,1 qadam bilan Runge-Kutta usulida yeching.
   

y'=x²+y²; y(0)=0.27 [0;1]
Tuzuvchi: T.A.Nuraliyev
Variant-16

1. 
   Aniq integralni hisoblashda trapetsiya formulasi haqida ma’lumot bering.
   
2. 
   Differensial tenglama tushunchasi. Koshi masalasi, chegaraviy masala haqida ma’lumot bering.
   
3. 
   Quyidagi integralni Simpson formulasi yordamida hisoblang.
   
4. 
   Quyidagi birinchi tartibli differentsial tenglamalar uchun Koshi masalasini ko'rsatilgan kesmada h=0,1 qadam bilan Runge-Kutta usulida yeching.