The (m 1) (m 1) tridiagonal matrix is involved in the Backward Difference method

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The (m ˆ’ 1) Ã— (m ˆ’ 1) tridiagonal matrix

is involved in the Backward Difference method to solve the heat equation. For the stability of the method we need Ï(Aˆ’1) a. Î± = 1 / 4
b. Î± = 1 / 2
c. Î± = 3/4
When is the method stable?

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Numerical Analysis

ISBN: 978-0538733519

9th edition

Authors: Richard L. Burden, J. Douglas Faires

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Question Posted: Mar 22, 2016 03:04 AM

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The (m 1) (m 1) tridiagonal matrix is involved in the Backward Difference method

Question:

1+ 2a 1+2a -a A = 1+ 2a

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Using the Inverse Power method with x 0 1 0 0 1 ...View the full answer

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