How to make a double integration with numerical integration?

Question

Rertan Ertan 2020-6-18

0
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https://ww2.mathworks.cn/matlabcentral/answers/550891-how-to-make-a-double-integration-with-numerical-integration

回答： Bjorn Gustavsson 2020-6-18

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

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Answer 1

Bjorn Gustavsson 2020-6-18

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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