solve heat ode
unknown
python
4 years ago
791 B
16
Indexable
from scipy.integrate import solve_bvp
from numpy import *
import matplotlib.pyplot as plt
####################################
# 1/r (k t' + kr t") + e' = 0
# Sea y0 = t, y1 = t'
#
# [ y0 ]' = [ y1 ]
# [ y1 ] [( -e' r - ky0)/kr ]
####################################
## y = temp, r = radio
## y = y(r)
r_saltos = 100 ## subdivisiones de radio
r = linspace(0,0.0025,r_saltos) ## rango del radio
y = array([r, full_like(r,2)])
def edo(r,y): ## sistema de primer orden de edos, variable (indep, dep)
e = (10 * 220) / (pi *(0.005 / 4)**2) # e'(t) = P / vol
k = -0.076 * y[0] + 450.158
return vstack([ y[1] , (-1*e*r - k*y[0]) / (k*r) ])
def bc(ya,yb): ### condiciones de contorno
return array([ya[1],yb[0]-573]) Editor is loading...