File:Shooting method trajectories.svg
Summary
| Description |
English: Graph showing trajectories of the shooting method for different values of the initial value of w'(0).
Español: Gráfico que muestra trayectorias del método de disparo para diferentes valores del valor inicial para w'(0). |
| Date | |
| Source | Own work |
| Author | Nicoguaro |
| SVG development | |
| Source code | Python code# -*- coding: utf-8 -*-
"""
Illustrate the shooting method for the equation
w'' = 3/2*w**2
The initial values picked for the first derivative are
w'(0) = s = [-40, -36, -10, -8, -7]
"""
from __future__ import division
import numpy as np
import matplotlib.pyplot as plt
from scipy.integrate import odeint
import seaborn as sns
sns.set_style("white")
def func(y, t):
return [y[1], 1.5*y[0]**2]
t = np.linspace(0, 1.1, 50)
diff_ini = [-40, -36, -10, -8, -7]
plt.figure(figsize=(6, 4))
for dy in diff_ini:
y0 = [4, dy]
y = odeint(func, y0, t)
plt.plot(t, y[:, 0], label=r"$s=%i$" % dy)
plt.plot(1, 1, "o", mfc="#3c3c3c")
plt.legend(loc="best")
plt.xlabel(r"$t$")
plt.ylabel(r"$w(t; s)$")
plt.savefig("Shooting_method_trajectories.svg", bbox_inches="tight")
plt.show()
|
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