Original link:tecdat.cn/?p=12307
Original source:Tuo End number according to the tribe public number
I used MATLAB to solve the following Lorenz initial value problems:
I write a function that takes three systems of differential equations as input and solves the system using the Runge-Kutta method with step sizes. I used MATLAB to generate a GIF of the solution.
% input: % f1,f2,f3 = y'(t,y) as a string % y0 = initial condition % inter = interval % h = step size % L = LorenzRK (' - + 10 * 10 * y1 y2, y3 + '- y1 * 28 * y1 y2 -', '* y1 y2 - (8/3) * y3', [0, 50], [5,5,5],. 01) % draw Lorenz solution plot3 (L (:, 2), L (:, 3), L (:, 4)) % create GIF: L = LorenzRK (' - + 10 * 10 * y1 y2 ', '- y1 * y3 + 28 * y1 y2', '* y1 y2 - (8/3) * y3', [0, 50], [5,5,5],. 01)Copy the code
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