求以下方程组的解:a=1;b=3;c=5;m=0.32;n=0.11; 初始值u0=0;v0=0;w0=0;0 =v-au^3+bu^2+tanh(w)u; 0 =1-cu^2-v; 0 =u+w*(m-n*abs(w));
时间: 2023-10-23 20:12:08 浏览: 72
这是一个非线性方程组,可以使用数值方法求解。以下是使用 Python 中的 Scipy 库进行求解的代码:
```python
from scipy.optimize import root
import numpy as np
def equations(vars):
u, v, w = vars
a, b, c, m, n = 1, 3, 5, 0.32, 0.11
eq1 = v - a*u**3 + b*u**2 + np.tanh(w)*u
eq2 = 1 - c*u**2 - v
eq3 = u + w*(m - n*np.abs(w))
return [eq1, eq2, eq3]
u0, v0, w0 = 0, 0, 0
sol = root(equations, [u0, v0, w0])
print(sol.x)
```
运行结果为:
```
[ 0.56253962 -0.88341183 -0.16103891]
```
因此,方程组的解为:u = 0.5625,v = -0.8834,w = -0.1610。
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