用python写一个使用节点法求解水力方程的代码
时间: 2023-03-13 11:42:53 浏览: 66
下面是一个使用Python编写的使用节点法求解水力方程的示例程序: # 导入需要的库
import numpy as np # 定义水力方程
def hydraulic_equation(h):
return (h**2 + 2*h + 3) # 定义节点法函数
def node_method(x_list, y_list):
# 计算各个节点的斜率
slopes = []
for i in range(len(x_list) - 1):
slope = (y_list[i+1] - y_list[i])/(x_list[i+1] - x_list[i])
slopes.append(slope) # 计算拟合系数
coefficients = []
coefficients.append(y_list[0])
for i in range(len(x_list) - 1):
coefficient = slopes[i]
coefficients.append(coefficient) return coefficients # 求解
# 设置初值
x_list = [0, 1, 2, 3]
y_list = [hydraulic_equation(x_list[0]), hydraulic_equation(x_list[1]), hydraulic_equation(x_list[2]), hydraulic_equation(x_list[3])] # 获取拟合系数
coefficients = node_method(x_list, y_list)
print(coefficients)