I have a problem with plotting a summation equation

Question

Sherman 2012-11-27

0
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此问题的直接链接

https://ww2.mathworks.cn/matlabcentral/answers/54992-i-have-a-problem-with-plotting-a-summation-equation

The question: For the fuction:

g(x,y) = G=4*sum((1-cos(n*pi)./(n*pi).^3).*exp(-n*pi*x).*sin(n*pi*y)).

y is between 0 and 1 and x is o to .7. We must use increment of 0.05 for x and 0.025 for y and n=25. I have to plot g using mesh(y,x,G). Heres what i got:

 X=linspace(0,0.7,14);
Y=linspace(0,1,40);
X=Y.';
[x,y]=meshgrid(X,Y);
for n=1:25;
    G=4*sum((1-cos(n*pi)./(n*pi).^3).*exp(-n*pi*x).*sin(n*pi*y));
    mesh(G)
end

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Answer 1

Mitch Martelli 2012-11-27

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https://ww2.mathworks.cn/matlabcentral/answers/54992-i-have-a-problem-with-plotting-a-summation-equation#answer_66737

编辑：Mitch Martelli 2012-11-27

在 MATLAB Online 中打开

Hi, you mean something like that ?

y=0:0.025:1;
x=0:0.05:0.7;
n=1:1:50;
[X,Y]=meshgrid(x,y);
for i=1:size(n,2)
    g_n=4*sum(1-cos(n(i)*pi)/(n(i)*pi)^3)*exp(-n(i)*pi*X).*sin(n(i)*pi*Y);
    g_xy(:,:,i)=g_n;
end
G=sum(g_xy,3);
mesh(X,Y,G)