i solved differential equations in c++ using boost libraries , there i am getting values and graph pattern , but it is not exactly match to my matlab values.Can anyone help me how can i get the exact values.
Odeint is a modern C++ library for numerically solving Ordinary Differential Equations.
www.odeint.com/
ya Odeint C++ library only i used...with integrate method. But graphs are not matching with my matlab values
Why C++? Can you test with Python?
You learn how to do Differential Equations in Python using the numpy and scipy packages on this website:
http://www.udacity.com/overview/Course/cs222/CourseRev/1
The course is Differential Equations in Action.
For example, you want to solve the following differential equation:
z''(t) = −z(t).
For a second order differential equation, you need to specify z(tini)
and z'(tini)! In the example, lets assume z(0) = 0.0005 and
z'(0) = 0.2.
Your code in python is:
#################################
import numpy as np
from scipy import integrate
import matplotlib.pyplot as plt
def deriv(y,t):
uprime = y[1]
wprime = - y[0]
yprime = np.array([uprime,wprime])
return yprime
start=0
end=10
numsteps=1000
time=np.linspace(start,end,numsteps)
y0=np.array([0.0005,0.2])
y=integrate.odeint(deriv,y0,time)
plt.plot(time,y[:])
plt.show()
##################################
Output is attached.
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