matlab四阶龙格库塔算法代码

MATLAB四阶龙格库塔算法的代码如下所示：

function [t, y, n = runge_kuttx0_o4(ufunc, tspan, y0, h)
    if nargin < 4
        h = 0.01;
    end

    if size(tspan) == [1, 2]
        t0 = tspan(1);
        tn = tspan(2);
    else
        error(message('MATLAB:runge_kuttx0_o4:WrongDimensionOfTspan'));
    end

    n = floor((tn - t0) / h);
    t(1) = t0;
    y(:, 1) = y0;

    for i = 1:n
        t(i + 1) = t(i) + h;
        k1 = ufunc(t(i), y(:, i));
        k2 = ufunc(t(i) + h/2, y(:, i) + h*k1/2);
        k3 = ufunc(t(i) + h/2, y(:, i) + h*k2/2);
        k4 = ufunc(t(i) + h, y(:, i) + h*k3);
        y(:, i + 1) = y(:, i) + h*(k1 + 2*k2 + 2*k3 + k4)/6; %按照龙格库塔方法进行数值求解
    end
end

这段代码实现了四阶龙格库塔算法，用于求解微分方程的数值解。你需要传入微分方程组的函数名称、时间起点和终点、初始值和步长作为参数调用该函数。它将返回计算得到的时间、数值解矩阵以及步数。这个代码的优点是使用了函数句柄，方便复用，并且模仿了ode45函数的输入变量格式，使用起来比较方便。<span class="em">1</span><span class="em">2</span><span class="em">3</span>
#### 引用[.reference_title]
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