If I try solving the logistics differential equation in Sympy I get a residual value (10^(-13)) which prevents sympy from getting the correct values for the initial coditions. If I run this code: import sympy as sp I get: How can one get rid of these residuals in the solution? Answer Either don’t use Float (use a = Rational(3, 100))
Tag: differential-equations
How to prevent odeint from giving me solutions that blow up
I’m trying to solve and plot ODE using Scipy’s odeint using different initial conditions. This is done in the code below. Note that for three of the initial conditions (2, 4, and 6), the solutions die out, then the graphs start looking weird for these 3 solutions (in the plot, it’s most notable for ic/N0 = 6, which corresponds to
Python – Differential equation solver for time-dependent coefficients gives different dynamics for different time offsets
I am solving the dynamics of a system when it interacts with a pulse, which basically is solving a time-dependent differential equation. In general it works fine, but whenever I take the bandwidth of the pulse small, i.e. around unity, the solver depends on where the pulse starts t0. Let me give you the code and some pictures and then
How can I stop my Runge-Kutta2 (Heun) method from exploding?
I am currently trying to write some python code to solve an arbitrary system of first order ODEs, using a general explicit Runge-Kutta method defined by the values alpha, gamma (both vectors of dimension m) and beta (lower triangular matrix of dimension m x m) of the Butcher table which are passed in by the user. My code appears to
Differential equation change of variables with sympy
I have an ordinary differential equation like this: I want to perform a variable change : How can I do this with sympy? Answer Use the following function: For the example posted: Under this substitution the differential equation outputted is then: