How to make a double integration with numerical integration?
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Rertan Ertan
le 18 Juin 2020
Réponse apportée : Bjorn Gustavsson
le 18 Juin 2020
I wrote this code, but it didn't work and got message "Invalid expression. When calling a function or indexing a variable, use parentheses. Otherwise, check
for mismatched delimiters."
f = @(sigma, y, yp) exp(-(y-yp).^2 ./ sigma.^2);
for i = 1:N
for j = 1:N
A(i,j) = integral(@(y),(integral @(yp)f(sigma,y,yp),yp1(j),yp(j)),y1(i),y2(i));
end
end
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Bjorn Gustavsson
le 18 Juin 2020
Why not use integral2 to integrate over 2-D domains - it can handle, at least, boundaries in the y-direction that are functions of x. Or you if this is your function that you want to integrate you should be able to do at least one integration symbolically and end up with a function that is built with some erf (error-function) terms.
HTH
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