How can I switch from Simpson code to composite simpson code?
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Composite simpson rule :
![](https://www.mathworks.com/matlabcentral/answers/uploaded_files/1242877/image.png)
Simpson rule's code :
% MATLAB code for syms function that creates a variable
% dynamically and automatically assigns
% to a MATLAB variable with the same name
syms x
% Lower Limit
a = 4;
% Upper Limit
b = 5.2;
% Number of Segments
n = 6;
% Declare the function
f1 = log(x);
% inline creates a function of string containing in f1
f = inline(f1);
% h is the segment size
h = (b - a)/n;
% X stores the summation of first and last segment
X = f(a)+f(b);
% variables Odd and Even to store
% summation of odd and even
% terms respectively
Odd = 0;
Even = 0;
for i = 1:2:n-1
xi=a+(i*h);
Odd=Odd+f(xi);
end
for i = 2:2:n-2
xi=a+(i*h);
Even=Even+f(xi);
end
% Formula to calculate numerical integration
% using Simpsons 1/3 Rule
I = (h/3)*(X+4*Odd+2*Even);
disp('The approximation of above integral is: ');
disp(I);
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Torsten
2022년 12월 25일
This cannot be your code since it already is the composite Simpson rule that is programmed therein.
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