Question: The (m 1) Ã (m 1) matrices A and B given by And are involved in the Crank-Nicolson method to solve the heat equation (see

The (m ˆ’ 1) Ã— (m ˆ’ 1) matrices A and B given by

And

are involved in the Crank-Nicolson method to solve the heat equation (see Section 12.2).Withm = 11, approximate Ï(Aˆ’1 B) for each of the following.
a. Î± = 1/4
b. Î± = 1/2
c. Î± = 3/4

, + 20: 0

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