scipy.integrate.solve_bvp 是SciPy 库中的一个函数,用于求解边界值问题(BVP)。它可以处理包括诺依曼边界条件在内的多种边界条件。 基础概念 诺依曼边界条件:在边界上指定解的导数值。例如,对于一维问题,如果边界上的导数为零,则称为诺依曼零边界条件。 边界值问题(BVP):涉及在区间的两端指定解的值或其导数值的问...
scipy.integrate.solve_bvp(fun, bc, x, y, p=None, S=None, fun_jac=None, bc_jac=None, tol=0.001, max_nodes=1000, verbose=0, bc_tol=None)# 求解ODE 系统的边值问题。 此函数在数值上求解服从 two-point 边界条件的 ODE 的一阶系统: dy / dx = f(x, y, p) + S * y / (x - a...
而且至少对我来说,参与文档并不能真正清楚地解释如何使用solve_bvp。
scipy.integrate.solve_bvp 的求解速度很快,甚至比matlab的bvp4c都快一点点。 #!/usr/bin/env python3# -*- coding: utf-8 -*-"""Created on Sun Aug 21 16:19:02 2022@author: Zhao Zhen-Hua"""'''coordinate:x->[0,10]equations:-u1'' -4* u2'*u1' + 2*a*u1 - 4*b*u1**3+6*c*...
SciPy中的函数integrate.solve_bvp用来求解下列形式的常微分方程(组): \frac{\mathrm d\bold y}{\mathrm dx}=f(x,\bold y,p)+S\frac{y}{x-a},\quad a\le x\le b\\ \text{bc}(\bold y(a),\bold y(b),p)=0\\ 其中bc表示boundary condition,即边界条件。 上式中,x是一个一维自变量,y...
from scipy.integrate import odeint, solve_bvp, solve_ivp import numpy as np import torchdiffeq import torch plt.close() 1. 2. 3. 4. 5. 6. 7. 8. 1 求解一阶ODE def f1(y,t): ''' dy/dt = func(y, t, ...) ''' return sin(t**2) ...
scipy.integrate.solve_bvp(fun, bc, x, y, p=None, S=None, fun_jac=None, bc_jac=None, tol=0.001, max_nodes=1000, verbose=0, bc_tol=None) 解决ODE 系统的边界值问题。 此函数数值解一个带有两点边界条件的一阶 ODE 系统: dy / dx = f(x, y, p) + S * y / (x - a), a <=...
File"C:\SoftApplication\Anaconda3\lib\site-packages\scipy\integrate\__init__.py", line95,in<module>from._bvp import solve_bvp File"C:\SoftApplication\Anaconda3\lib\site-packages\scipy\integrate\_bvp.py", line10,in<module>fromscipy.sparse.linalg import splu ...
MAINT: Rename 'res' to 'rms_res' in the return bunch of solve_bvp d2a5b3f DOC: Fix mistakes in solve_bvp docstring 97d4e36 Member pv commented Jun 4, 2016 In general related to naming: avoiding abbreviations can be useful --- sol.rms_residual can be clearer to read than sol...
Boundary Value Problems: The scipy.integrate.solve_bvp() function can solve boundary value problems by providing a framework for problems with conditions specified at more than one point. Numerical Integration: In addition to solving differential equations, SciPy includes functions for numerical integratio...