Birjinsli muhitlarda issiqlik o‘tkazuvchanlik tenglamasi uchun qo‘yilgan turli tipdagi chegaraviy masalalarni sonli yechish va algoritmini tuzish
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import matplotlib.pyplot as plt
import numpy as np
a,b = map ( float , input ( "Koordinatalar oralig'ini kiriting: " ).split())
c,d = map ( float , input ( "Vaqt oralig'ini kiriting: " ).split())
h = float ( input ( "Nuqtalar oralig'i masofasini kiriting: " ))
tau = float ( input ( "Vaqt oralig'i masofasini kiriting: " ))
m = float ( input ( "O'tkazuvchanlikni kiriting: " ))
# n nuqtalar soni
n = int ((b-a)/h)
# k vaqtlar soni
k = int ((d-c)/tau)
l = np.empty((k+ 1 ,n+ 1 ))
# i ustun
i = 0
# j satr
j = 0
for i in range (n+ 1 ):
l[ 0 ][i] = 0
for j in range (k+ 1 ):
l[j][ 0 ] = 20
l[j][n] = 10
for j in range (k):
for i in range ( 1 ,n):
l[j+ 1 ][i] = (tau*m*(l[j][i+ 1 ]- 2 *l[j][i]+l[j][i- 1 ]))/(h*h)+l[j][i]
for j in range (k+ 1 ):
for i in range (n):
print (l[j][i], end = ' ' )
print ()
for j in range (k+ 1 ):
if j % 100 == 0 :
plt.plot(l[j][ 0 :n+ 1 ])
plt.show()](https://docx.uz/documents/d6bb18df-d8ec-4755-bedd-922106cac946/page_14.png?v=1)
Birjinsli muhitlarda issiqlik o‘tkazuvchanlik tenglamasi uchun qo‘yilgan turli tipdagi chegaraviy masalalarni sonli yechish va algoritmini tuzish