Sum of the series with two variable

Given that

x=0:0.01:1;

t=0:0.001:0.1;

n is from 1 to 20 (not infinity)

How to make plot(x,u)? Please help!!!

[the cyclist]

What help do you need? Are your familiar with at least the basics of MATLAB syntax and operations? If not, then I suggest you watch the free MATLAB Onramp tutorial.

If you are familiar with the basics, then I suggest you write out as much as you can yourself, and then post where you are stuck.

[Kemal Bey]

x = 0:0.01:1;
t = 0:(2/100):2;
u=zeros(1,numel(t));
for n= 1:20
  u=u-((4/(pi.^3)).*((-1).^(n)-1).*exp(-(n.^2).*(pi.^2).*(t/10)).*sin(n.*pi.*x))/n.^2;
end
 plot(x,u,'b')

That is my code. I should get parabolic (symmetric) distribution of heat over a rod. But I obtained something that is not symmetric paraboloid. If you replace t with t = 0:(2/100):2, it will become noticeable

Answer 1

[David Hill]

[x,t]=meshgrid(0:.01:1,0:.001:.1);
u=zeros(size(x));
for n=1:100
  u=u+((-1)^n-1)/(n^2)*exp(-n^2*pi^2*t/10).*sin(n*pi*x);
end
u=u*4/(pi)^3;
surf(x,t,u);

[Kemal Bey]

Thanks a lot

[Abdalrahman Marshoud]

If n is infinity, how can i plot it?