在MATLAB中创建一个脚本文件: 创建一个新的MATLAB脚本文件,例如命名为 euler_method.m。 在脚本中定义微分方程、初始条件、步长和迭代次数: 在脚本文件中,首先定义微分方程、初始条件、步长和迭代次数。例如: matlab % 定义微分方程 dy/dt = y f = @(t, y) y; % 设置初始条件 y0 = 1; % 设置时间范围...
,所以下面的都以这个ODE为例,再顺带提一句,使用matlab解ODE用dsolve就好。) f = @(t,y) 10*y*(1-y); y0 = 0.01; t0 = 0; tf = 1; h = 0.01; [t, y] = euler(f, y0, t0, tf, h); plot(t, y,'-o'); xlabel('t'); ylabel('y(t)'); title('Euler method solution for dy...
plot(y(1,:),y(2,:)) iMore = input('Do you wish to repeat with Euler''s method? (1=yes,0=no) '); disp(' ') end close all % now investigate classical Runge-Kutta disp('Experiments with classical Runge-Kutta method.') iMore = 1; while (iMore == 1), % prompt user for num...
ODE1 implements Euler's method. It provides an introduction to numerical methods for ODEs and to the MATLAB suite of ODE solvers. Exponential growth and compound interest are used as examples. Related MATLAB code files can be downloaded from MATLAB Central Show more Published: 21 Jan 2016Relate...
matlab: euler's method. improved euler's... Learn more about #ode eulers method, #error(log-log plot), #matlab code
23elseif Estimate_error<e%误差过小24h=2*h;25else%近似估计误差大于指定误差26h=h/2;27end28end29t(i+1)=t(i)+h;30i=i+1;31end32%绘图33%%34plot(t,y);35xlabel('t'),ylabel('y(t) and z(t)');36legend('y(t)','z(t)');37title('Explicit Euler method for numerical solution ...
title('Solution of dy/dt = -2y using Backward Euler method'); ``` 通过运行以上代码,我们可以得到dy/dt = -2y的数值解。通过绘制数值解的曲线,我们可以直观地观察到ODE的动态特性。 4. 总结与展望 通过深入理解Matlab中的向后Euler方法,我们可以更好地掌握数值计算中的ODE求解。向后Euler方法作为一种重要...
在Matlab中，我们可以定义一个函数来表示微分方程。代码如下：function dydx = myODE(x,y)dydx = -2*x*y;end 然后，我们可以编写一个求解Euler方法的函数。代码如下：function [x,y] = myEuler(a,b,n,y0)h = (b-a)/n;x = a:h:b;y = zeros(1,n+1);y(1) = y0;for i = 1:n y(i+1...
欧拉办法就是用数值近似的办法得到微分方的近似解如下图，最简单的欧拉办法下一个yn+1点的值近似由当前点的值f(xn,yn)和x增量h得到很容易就能够根据递推公式一步一步计算出从初始点x0一定范围的数值近似解这里只给出题目a的解，后面的应该可以很容易举一反三地解决h=0.025;x0=1;xend=1.1;...
I am trying to use the euler and then midpoint method to solve for a value. I call on a different mfile that I have named "dydtsys.m" where I gather the equations needed for this project. Any and all help would be appreciated. I have tried to rename the 'unrecognized function or ...