给我一段解三对角方程组的追赶法的python代码
时间: 2024-02-03 20:11:47 浏览: 82
追赶法解三对角方程组
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以下是解三对角方程组的追赶法的Python代码:
```python
import numpy as np
def tridiagonal_solver(a, b, c, d):
"""
Solves a tridiagonal system of equations using the Thomas algorithm.
:param a: array of lower diagonal elements
:param b: array of diagonal elements
:param c: array of upper diagonal elements
:param d: array of right-hand side values
:return: array of solution values
"""
n = len(b)
# Modify the diagonal and upper diagonal arrays
for i in range(1, n):
m = a[i-1] / b[i-1]
b[i] -= m * c[i-1]
d[i] -= m * d[i-1]
# Back substitution
x = np.zeros(n)
x[-1] = d[-1] / b[-1]
for i in range(n-2, -1, -1):
x[i] = (d[i] - c[i] * x[i+1]) / b[i]
return x
```
其中,a、b、c和d分别表示三对角矩阵的下对角线、对角线、上对角线和右端向量。函数返回解向量x。
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