(b) Prove that the farthest eigenvalue from the origin approaches -/h2 as h0 and use this to explain why the ODE systenm du(t) is stiff
Homework Answers
Matlab Code
clc
clear all
M=3;
h=pi/M;
for i=1:M
A(i,i)=-2/h^2;
end
for i=2:M
A(i-1,i)=1/h^2-1/2*h;
end
for i=1:M-1
A(i+1,i)=1/h^2+1/2*h;
end
A
(eig(A))
Output
A =
-1.8238 0.3883 0
1.4355 -1.8238 0.3883
0 1.4355 -1.8238
ans =
-2.8796
-1.8238
-0.7680
Add Answer to:
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