有什么方法可以解决python中的耦合微分方程组吗? [英] Any way to solve a system of coupled differential equations in python?

问题描述

我一直在研究sympy和scipy，但是找不到或找出如何求解耦合微分方程组(非线性，一阶)的方法.

I've been working with sympy and scipy, but can't find or figure out how to solve a system of coupled differential equations (non-linear, first-order).

那么有什么办法可以解决耦合微分方程?

So is there any way to solve coupled differential equations?

等式的形式为:

V11'(s) = -12*v12(s)**2
v22'(s) = 12*v12(s)**2
v12'(s) = 6*v11(s)*v12(s) - 6*v12(s)*v22(s) - 36*v12(s)

具有v11(s)，v22(s)，v12(s)的初始条件.

with initial conditions for v11(s), v22(s), v12(s).

推荐答案

有关具有scipy的ODE的数值解，请参见 scipy.integrate.ode .

For the numerical solution of ODEs with scipy, see scipy.integrate.solve_ivp, scipy.integrate.odeint or scipy.integrate.ode.

SciPy Cookbook 中提供了一些示例(向下滚动至常微分方程"部分).

Some examples are given in the SciPy Cookbook (scroll down to the section on "Ordinary Differential Equations").

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