习题7.3

习题7.3

时间：2024-11-17 15:19:43浏览次数：1

标签：plot plt linear cubic interp 7.3 np 习题

1.代码实现

点击查看代码

import numpy as np
from scipy.interpolate import interp1d, CubicSpline
import matplotlib.pyplot as plt
# 给定数据
T = np.array([700, 720, 740, 760, 780])
V = np.array([0.0997, 0.1218, 0.1406, 0.1551, 0.1664])
# 要插值的温度点
T_interp = np.array([750, 770])
# 线性插值
linear_interp = interp1d(T, V, kind='linear')
V_linear = linear_interp(T_interp)
# 三次样条插值
cubic_interp = CubicSpline(T, V)
V_cubic = cubic_interp(T_interp)
# 绘制插值函数和数据点
T_plot = np.linspace(700, 780, 100)
V_linear_plot = linear_interp(T_plot)
V_cubic_plot = cubic_interp(T_plot)
plt.scatter(T, V, label='Data points')
plt.plot(T_plot, V_linear_plot, label='Linear interpolation')
plt.plot(T_plot, V_cubic_plot, label='Cubic spline interpolation')
plt.xlabel('Temperature (T)')
plt.ylabel('Volume (V)')
plt.title('Interpolation of Volume vs Temperature')
plt.legend()
plt.show()
print("线性插值结果：", V_linear)
print("三次样条插值结果：", V_cubic)
print("3014")

2.运行结果

标签：plot,plt,linear,cubic,interp,7.3,np,习题
From： https://www.cnblogs.com/qishanhsa/p/18550613

数学建模习题8.5
`importnumpyasnpimportmatplotlib.pyplotaspltfromscipy.integrateimportsolve_ivp定义微分方程模型defmodel(t,y):f,df_dm,d2f_dm2,T,dT_dm=yd3f_dm3=-3*f*d2f_dm2+2*(df_dm)**2-Td2T_dm2=-2*f*dT_dmreturn[df_dm,d2f_dm2,d3f_dm......
习题7.10（3）
1.代码实现点击查看代码importnumpyasnpimportpylabaspltfromscipy.optimizeimportcurve_fit#原始数据点x0=np.array([-2,-1.7,-1.4,-1.1,-0.8,-0.5,-0.2,0.1,0.4,0.7,1,1.3,1.6,1.9,2.2,2.5,2.8,3.1,3.4,3.7,4,4.3,4.6,4.9])y0=np.......
习题8.5
1.代码实现点击查看代码importnumpyasnpfromscipy.integrateimportodeintimportmatplotlib.pyplotasplt#定义微分方程组defsystem(state,eta):f,df,d2f,T,dT=stated3f=-3*d2f+2*df**2-Td2T=-2.1*df*dTreturn[df,......
习题8.4
1.代码实现点击查看代码importnumpyasnpfromscipy.integrateimportodeintimportmatplotlib.pyplotasplt#定义微分方程组defsystem(state,t):x,y=statedxdt=-x**3-ydydt=x-y**3return[dxdt,dydt]#初始条件x0=1y......
数学建模习题7.10
`importnumpyasnpimportpandasaspdimportmatplotlib.pyplotaspltfromscipy.interpolateimportinterp1d,PchipInterpolator,CubicSplinefromscipy.optimizeimportcurve_fitfromscipy.statsimportnorm读取数据file_path='7.17.xISX'#确保文件......
习题7.10（2）
1.代码实现点击查看代码importnumpyasnpimportpylabasplt#原始数据点x0=np.array([-2,-1.7,-1.4,-1.1,-0.8,-0.5,-0.2,0.1,0.4,0.7,1,1.3,1.6,1.9,2.2,2.5,2.8,3.1,3.4,3.7,4,4.3,4.6,4.9])y0=np.array([0.1029,0.1174,0.1316,0.144......
数学建模习题8.4
`importnumpyasnpimportmatplotlib.pyplotaspltfromscipy.integrateimportsolve_ivp定义微分方程系统defsystem(t,state):x,y=statedxdt=-x-ydydt=x-y**3return[dxdt,dydt]定义时间跨度和初始条件t_span=(0,30)y0=[1,0.5]解微分方程so......
数学建模习题7.7
`importnumpyasnpimportmatplotlib.pyplotaspltfromscipy.optimizeimportcurve_fit,leastsq,least_squares定义函数g(x,a,b)defg(x,a,b):return(10*a)/(10*b+(a-10*b)*np.exp(a*np.sin(x)))初始参数a=1.1b=0.01生成数据x_values......
数学建模习题7.4
`importnumpyasnpimportmatplotlib.pyplotaspltfromscipy.interpolateimportgriddatadeff(x,y):x2=x2return(x2-2*x)*np.exp(-x2-y2-x*y)x_min,x_max=-3,3y_min,y_max=-4,4num_points=1000x_random=np.random.uniform(x_min,x_ma......
数学建模习题7.3
`importnumpyasnpimportmatplotlib.pyplotaspltfromscipy.interpolateimportinterp1d,CubicSpline已知的温度和对应的体积T_known=np.array([700,720,740,760,780])V_known=np.array([0.0977,0.1218,0.1406,0.1551,0.1664])需要求解的温度T_query=......

相关文章

赞助商

阅读排行