Author: Gu Jian
These days have been worried about mathematical modeling. Although I have a birthday, a few friends I think didn't call me, very sad, but life doesn't allow you to have too much sadness, or I have to learn.
Seeing that it is time to go to the mathematical modeling exam. There are still a lot of things that need to be learned. Today, I saw the solution to the differential equation, I very clear from time to time.
[T, X] = Solver ('Function', TS, X0, Options)
Description:
1.t is the independent variable of the function returned by Solver;
2.x is a function value returned by Solver;
3. Solver is a solution function of differential equations, ODE23, ODE45, ODEL13, ODEL5S, ODE23S function name;
4.TS = [to, TF], TO, TF is the initial value and final value of the argument;
5.x0 function initial value;
6.Options: Set the error limit with pumpkin paste (5 ^ (- 3), the absolute error is: 10 ^ (- 6)), command is: options = ODESet ('Reltol', RT, 'Abstol ', at); RT, AT is the relative error and absolute error of the set;
note:
1. When it is more, X0, X Jun is more, and the M-file should be written in X's component;
2. When high-level calculations, it is necessary to convert to first-order differential equations;
When you contact it, the case is:
T1.m
Function T1 = T1 (t, y) T1 = Zeros (2, 1); T1 (1) = y (2); T1 (2) = T;
>> [x, y] = ODE45 ('T1', [0 10], [0]); Plot (x, y (:, 1), 'r *'); Grid ON
Waiting for the function, y = x ^ 3/6
The image is as follows:
I don't know why, I really understand these things from time to time, but I will use it! Hey!
