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clc
clear all
k=1;
nx=6
dx=1/(nx-1);
dt=0.02;
n=100;
s=k*dt/(dx^2);

A = sparse(nx,nx);
for i=2:nx-1
A(i,i-1) = -s;
A(i,i ) = (1+2*s);
A(i,i+1) = -s;
end

A(1 ,1 ) = 1;
A(nx,nx) = 1;

rhs = zeros(nx,1);
rhs(2:nx-1) = Told(2:nx-1);
rhs(1) = 0;
rhs(nx) = 100;

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