Python:Ordinary Differential Equations/Templates

The codes below present templates for creating the function file responsible for computing values of the first derivatives of all the variables and the script whose job is to solve a system of initial value problems based on ordinary differential equations. This program calls the StatePlotter program, available at the bottom.

Code

# %% Imports
import numpy as np
import matplotlib.pyplot as plt
from scipy.integrate import solve_ivp

# %% Define derivative function
def f(t, y, c):
    dydt = [ ]  # list of derivatives as functions of t, y, and c
    return dydt

# %% Define time spans, initial values, and constants
tspan = np.linspace( )  # start, finish, numpoints
yinit = [ ]             # list of initial values
c = [ ]                 # list of constants

#%% Solve differential equation
sol = solve_ivp(lambda t, y: f(t, y, c), 
                [tspan[0], tspan[-1]], yinit, t_eval=tspan)

Questions

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