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Solution approaching wrong value

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Abigail Grein
Abigail Grein on 10 Dec 2018
Commented: Torsten on 11 Dec 2018
Hello, I have written the following code as an analytical solution to excess pore pressure in 1D soil consolidation:
z=(1:-delZ:0)';
tt=[0.01,0.1,0.2,0.5,1,2];
a=4/pi; pa=pi/2; pp=pa*pa;
Wan=zeros(21,1);
for k=1:5
jj(k)=(2*k-1);
for ii=2:N+1
Wan(ii)=Wan(ii)+(((-1)^(k-1))/jj(k))*cos(jj(k)*pa*z(ii))*exp(-jj(k)*jj(k)*pp*tt(1));
end
end
My problem is it results in this graph for t=0.01, with the values approaching 0.8 when they should be approaching 1.0. Can anybody spot where I've gone wrong with this? Thank you!
  3 Comments
Abigail Grein
Abigail Grein on 10 Dec 2018
Where at T=0, W=1, 0
With boundary conditions: W=0 at Z=1 for T greater than zero and
at Z=0 for T greater than zero
Torsten
Torsten on 11 Dec 2018
James means the infinite sum you are trying to implement.

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