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

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

is involved in the Forward Difference method to solve the heat equation. For the stability of the method we need Ï(A) 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 03:05 AM

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

Question:

0 a, 1-2α α.

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a When a 14 we have 097972997 092060076 082741863 070771852 057114328 042886719 0292...View the full answer

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