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The (m 1) (m 1) matrices A and B given by A = 1 + 2 0 0 2 1 + 2 0 0 2 0 0 2 1 + 0 and B

Numerical Analysis (Available Titles CengageNOW) | 8th Edition | ISBN: 9780534392000 | Authors: Richard L. Burden, J. Douglas Faires ISBN: 9780534392000 331

Solution for problem 9.2.23 Chapter 9-2

Numerical Analysis (Available Titles CengageNOW) | 8th Edition

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Numerical Analysis (Available Titles CengageNOW) | 8th Edition | ISBN: 9780534392000 | Authors: Richard L. Burden, J. Douglas Faires

Numerical Analysis (Available Titles CengageNOW) | 8th Edition

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Problem 9.2.23

The (m 1) (m 1) matrices A and B given by A = 1 + 2 0 0 2 1 + 2 0 0 2 0 0 2 1 + 0 and B = 1 2 0 0 2 1 2 0 0 2 0 0 2 1 are involved in the CrankNicolson method to solve the heat equation (see Section 12.2). With m = 11, approximate (A1B) for each of the following. a. = 1 4 b. = 1 2 c. = 3 4

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Chapter 9-2, Problem 9.2.23 is Solved
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Textbook: Numerical Analysis (Available Titles CengageNOW)
Edition: 8
Author: Richard L. Burden, J. Douglas Faires
ISBN: 9780534392000

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The (m 1) (m 1) matrices A and B given by A = 1 + 2 0 0 2 1 + 2 0 0 2 0 0 2 1 + 0 and B

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