Getting NaN after division of matrix by vector

3 views (last 30 days)
So for my assignment I had to form a matrix A and divide it by a column vector b to get the answer needed and plot it. Problem is that when I try to plot my answeri t gives nAn for all the values and i dont know why.
%%Initialisation 1
alpha=0.1;
beta=0.1;
dx=(2*pi)/100;
dy=dx;
dt=0.01; %%timeskip
nu=0.1;
H=2*pi;
L=4*pi;
T_end=5;
%Mesh
n=round((L/dx)+1);. Converts rectangle to a mesh
m=round(((H/dy)+1));
t=round((T_end/dt)+1);
x=[0:dx:L]';
y=[0:dy:H]';
v=@(x,t) 5*(1-(x-2*pi)^2/(4*pi^2)).*cos(pi*t)*sin(x);
T=@(x,y) 20*cos(x)*sin(y);
b=zeros(n*m,1);
A=zeros(n*m);
%A matrix
for i=1:n
for k=1:t
an(i,k)= v((i-1)*dx,dt)*dt/(2*dy) - beta*dt/dy^2;
as(i,k)= -v((i-1)*dx,dt)*dt/(2*dy) - beta*dt/dy^2;
end
end
ae = -dt*alpha/dx^2;
ap = 1+(2*alpha*dt/dx^2)+(2*beta*dt/dy^2);
aw=ae;
%T1
for i=2:n-1
for j=2:m-2
pointer=(j-1)*n+i;
A(pointer,pointer)=ap;
A(pointer,pointer-n)=as(i,k);
A(pointer,pointer-1)=aw;
A(pointer,pointer+1)=ae;
A(pointer,pointer+n)=an(i,k);
end
end
%T2
for i=1
for j=2:m-2
pointer=(j-1)*n+i;
A(pointer,pointer)=ap;
A(pointer,pointer+n)=as(i,k);
A(pointer,pointer-1)=aw;
A(pointer,pointer+1)=ae;
A(pointer,pointer-m+2)=an(i,k);
end
end
%T3
for i=n
for j=2:m-2
pointer=(j-1)*n+i;
A(pointer,pointer)=ap;
A(pointer,pointer+m-2)=as(i,k);
A(pointer,pointer-1)=aw;
A(pointer,pointer+1)=ae;
A(pointer,pointer+n)=an(i,k);
end
end
%T4
for i=2:n-1
for j=1
pointer=(j-1)*n+i;
A(pointer,pointer)=ap;
A(pointer,pointer+n)=as(i,k);
A(pointer,pointer+1)=(aw+ae);
A(pointer,pointer+n)=an(i,k);
end
end
%for T5
for i=2:n-1
for j=m-1
pointer=(j-1)*n+i;
A(pointer,pointer)=ap;
A(pointer,pointer-n)=as(i,k);
A(pointer,pointer-1)=(aw+ae);
A(pointer,pointer+n)=an(i,k);
end
end
%T6
for i=1
for j=1
pointer=(j-1)*n+i;
A(pointer,pointer)=ap;
A(pointer,pointer+n)=as(i,k);
A(pointer,pointer+1)=(aw+ae);
A(pointer,pointer+2)=an(i,k);
end
end
%T7
for i=n
for j=1
pointer=(j-1)*n+i;
A(pointer,pointer)=ap;
A(pointer,pointer+m-2)=as(i,k);
A(pointer,pointer+1)=(aw+ae);
A(pointer,pointer+n)=an(i,k);
end
end
%T8
for i=1
for j=m-1
pointer=(j-1)*n+i;
A(pointer,pointer)=ap;
A(pointer,pointer+n)=as(i,k);
A(pointer,pointer-1)=(aw+ae);
A(pointer,pointer+2-m)=an(i,k);
end
end
%t9
for i=n
for j=m-1
pointer=(j-1)*n+i;
A(pointer,pointer)=ap;
A(pointer,pointer+m-2)=as(i,k);
A(pointer,pointer-n)=(aw+ae);
A(pointer,pointer+n)=an(i,k);
end
end
%matrix A produces 2301*2301
%%vector B
for i=1:n
for j=1:m
pointer=(j-1)*n+i;
b(pointer)=T((i-1)*dx,(j-1)*dy);
end
end
%%produces 2301*1
Temp=A/b
The Temp, when calculated,gives NaN for all the cells and I don't know why. I would appreciate some feedback.

Answers (0)

Categories

Find more on Line Plots in Help Center and File Exchange

Community Treasure Hunt

Find the treasures in MATLAB Central and discover how the community can help you!

Start Hunting!