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# The (m 1) (m 1) tridiagonal matrix A = 1 + 2 0 0 1 + 2 0 0 0 0 1 + 2 is involved in the ISBN: 9780534392000 331

## Solution for problem 9.2.21 Chapter 9-2

Numerical Analysis (Available Titles CengageNOW) | 8th Edition

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Problem 9.2.21

The (m 1) (m 1) tridiagonal matrix A = 1 + 2 0 0 1 + 2 0 0 0 0 1 + 2 is involved in the Backward Difference method to solve the heat equation. (See Section 12.2.) For the stability of the method we need (A1) < 1. With m = 11, approximate (A1) for each of the following. a. = 1 4 b. = 1 2 c. = 3 4 When is the method stable?

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##### ISBN: 9780534392000

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