calculate a double integral in a function

Question

Niloufar 2022-12-2

0
链接

此问题的直接链接

https://ww2.mathworks.cn/matlabcentral/answers/1869552-calculate-a-double-integral-in-a-function

回答： David Hill 2022-12-2

I want to calculate this double integral in a function that the inputs are m,n and a two variable function like f(x,y) but I don't know how to pass f(x,y) to function.here is my code

clear;clc;close all;
f = @(x,y) sin(2*x)*sin(y);
Bmn = findBmn(1,2,f);
%%
function Bmn = findBmn(m,n,f)
    a = pi;
    fun = @(x,y) f.*sin(n*pi*x/a).*sin(m*pi*y/a);
    Bmn = (4/(a^2)).*integral2(fun,0,a,0,a);
end

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Answer 1

David Hill 2022-12-2

0
链接

此回答的直接链接

https://ww2.mathworks.cn/matlabcentral/answers/1869552-calculate-a-double-integral-in-a-function#answer_1118537

在 MATLAB Online 中打开

f = @(x,y) sin(2*x).*sin(y);
Bmn = findBmn(1,2,f)
Bmn = 1.0000
function Bmn = findBmn(m,n,f)
    a = pi;
    fun = @(x,y) f(x,y).*sin(n*pi*x/a).*sin(m*pi*y/a);
    Bmn = (4/(a^2)).*integral2(fun,0,a,0,a);
end