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Composite Simpsons 1/3 matlab code

  1. May 10, 2014 #1

    haz

    User Avatar

    hey guys,
    So I'm working on a matlab function that uses simpsons 1/3 rule to find an integral.
    This is what I have done so far, but I'm not 100% confident..
    If anyone would be able to have a look at give me some tips that would be very much appreciated.

    function [ I ] = simpsons3( func,a,b,n )
    %Finds estimate integral from a to b of function using simpson 1/3 rule

    % % INPUTS
    % % func = function
    % % a = lower limit
    % % b = upper limit
    % % n=number of segments used for integration
    % % OUTPUTS
    % % I = integral estimate

    h = (b-a)/(n-1);
    sumE = 0;
    for i = a+2*h:h:b-2*h
    sumE = sumE + func(i);
    end
    sumO = 0;
    for i = a+h:h:b-h
    sumO = sumO + func(i);
    end
    I = (h/3)*(func(a)+4*sumE+2*sumO+func(b));
     
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