因此,五阶龙格-库塔法是利用一步向前+四阶龙格-库塔法估计误差。 本文分享一个简单例子来从m代码实现RK45求解器,matlab也可以用自带的ode45函数来求解微分方程:Matlab通过ode系列函数求解微分方程 假定y'=y,y(0) = 1,很明显结果的理论解为y(t)=e^t, matlab代码 clc close all clear y0 = ...
ODE45 is usually the function of choice among the ODE solvers. It compares methods of orders four and five to estimate error and determine step size. ODE45 is so accurate that its default behavior is to use its interpolant to provide results at intermediate points. Related MATLAB code files ca...
[t,y,te,ye,ie] = ode45(odefun,tspan,y0,options)additionally finds where functions of(t,y), called event functions, are zero. In the output,teis the time of the event,yeis the solution at the time of the event, andieis the index of the triggered event. ...
Your ode appears to be stiff - therefore i recommend to use ode15s instead of ode45. Also the behaviour of your system can be seen much better with t=[0 0.01] instead of t=[0 1]. Note that there are several constants that are unused in your code. You see...
问MatLab ode45最小时间步长EN有一种方法可以为ode45和其他步骤求解器设置步长。在定义TSPAN时，可以指定...
MATLAB’sstandardsolverforordinarydifferentialequations(ODEs)isthefunctionode45.ThisfunctionimplementsaRunge-Kuttamethodwithavariabletimestepforefficientcomputation.ode45isdesignedtohandlethefollowinggeneralproblem: dx=f(t,x), x(t)=x, (1) dt 0 0 wheretistheindependentvariable,xisavectorofdependentvariablestob...
Ode45 gives a diverging solution for the following code while the other solvers converge it to an extent where no changes in parameters defined in function are initiating a change in the obtained plot. Kindly suggest a possible way out.
[t,y,te,ye,ie] = ode45(odefun,tspan,y0,options) sol = ode45(___) 这里介绍一阶微分方程: [自变量,因变量] = ode45(方程,范围,初值); 举个栗子: 首先创建一个func2.m函数存放方程表达式 1 2 3 4 function Biubiu = func2(h, t) g = 9.8; Biubiu = (10000*pi/sqrt(2*g))*(h.^(...
用ode45从t0到t1积分一遍,取ii=1:1000个点画图。 用ode45gpu积分一遍,分别从t0到t0+ii/1000积分ii=1:1000条轨道,注意这1000条轨道是同时被计算的,所以和从t0到t1直接积分的耗时只差一点点一点点。 然后gather回来重叠画图比较 这个图就是这么画的,所以你看这么多小点点~~怎么样,不难吧?
然后另创建一个脚本，里面输入绘图的代码。代码中最上方的三行for代表xyz三者的取值，都是从0.1开始，到0.9截止的相同数值。设置好取值后，使用ode45函数进行求解，并使用plot3函数绘制三维图，同时为图像加上网格，为坐标轴命名。Next, create another script to input the plotting code. The top three lines of...