I have a looping question about a problem that I am doing. Could someone please help?

Question

Tony Pate 2017-10-24

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回答： Michael Madelaire 2017-10-24

I've been trying to figure out a way to loop through an iterative process using matlab, but I can't figure out the correct way to run it. I have a start condition gamma (y) and a start temperature (T2) that is a function of gamma: T2 = #*T1*y. T1 is a constant initial temperature. To iterate and find a correct y, T1 and T2 have to be averaged and put into an equation that will develop a second value for y. This second value for y will be put back into the first equation: T2 = #*T1*y(2) to find a better value of T2. The final value of T2 will be when T2 changes very little: tolerance = 0.1%. I have an outline of this process below:

y(1) = 1.4

T2 = #*T1*y(1)

Tavg = (T2 + T1)/2

y(2) = #*Tavg

T2(2) = #*T1*y(2)

repeat until T2(2) - T2 < 0.001

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Answer 1

Michael Madelaire 2017-10-24

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Hi Tony

I hope this can help! Due tell if i misunderstood.

    tol = 0.001; % Tolerance
    y=1.4; % Set gamma value
    T1 = 1; % Set T1 value
    dT2 = 1; % Need to be higher than tolerance to initialize
    T2 = T1*y; % First iteration
    n=1; % counter
    while dT2(n) > tol
        n=n+1; 
        y(n) = (T2(n-1)+T1)/2;
        T2(n) = T1*y(n);
        dT2(n) = T2(n-1) - T2(n);
    end
    % The last iteration will exeed the tolerance
    T2 = T2(1:n-1);
    y = y(1:n-1);