3d plot of a wave equation solution
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Hi everybody,
after solving it a wave equation with separation of variables
I find the solution
with :
and i want to have a 3 d graph for for example for u(x,y,1,1) but I find it very difficult to do it.
i did this but it doesn't work:
clear all;close all;clc;
x=[0:.1:5];y=[0:.1:5];
[X,Y] = meshgrid(x,y);
for n=1:20
for m=1:20
for k=1:20
fun = @(a) sin((n*pi/5)*a);
fun2 = @(c) sin((m*pi/5)*c)*integral(fun,0,5);
fun3 = @(c) sin(k*c)*integral(fun,0,5);
Z1(n,m,k)=(8/(3*(10^8)*5*5*sqrt(1+((m*pi)/5)^2+((n*pi)/5)^2)))*...
integral(fun3,0,10)*sin(3*(10^8)*sqrt(k^2+(m*pi/5)^2+(n*pi/5)^2))*...
(sin((n*pi/5).*X)*sin((m*pi/5).*Y)*sin(k));
end
end
end
for n=1:20
for m=1:20
for m=1:20
Z=Z+Z1(n,m,k);
end
end
end
mesh(X,Y,Z)
please if anyone can help me
2 个评论
darova
2019-7-4
You have
in the second expression. It has no result. Am i wrong?
in the second expression. It has no result. Am i wrong?
Youssef FAKHREDDINE
2019-7-4
i think i must switch the infinty by a number λ for example which is big enough .
or bigger enought than 5 because i'm studing this wave in a rectangular wave guide a waveguide that is section
and which is of great depth like a tunel.
and which is of great depth like a tunel.采纳的回答
darova
2019-7-4
1 个投票
I used 
formula to generate x,y,z (t=1) and u0 = u(x,y,z,1) as color? Calculation takes some time. How to vectorize it?
formula to generate x,y,z (t=1) and u0 = u(x,y,z,1) as color? Calculation takes some time. How to vectorize it?That is what i got
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