EBK NUMERICAL METHODS FOR ENGINEERS
EBK NUMERICAL METHODS FOR ENGINEERS
7th Edition
ISBN: 9780100254145
Author: Chapra
Publisher: YUZU
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Chapter 11, Problem 28P

A pentadiagonal system with a bandwidth of five can be expressed generally as

[ f 1 g 1 h 1 e 2 f 2 g 2 h 2 d 3 e 3 f 3 g 3 h 3 d n 1 e n 1 f n 1 g n 1 d n e n f n ] { x 1 x 2 x 3 x n 1 x n } = { r 1 r 2 r 3 r n 1 r n }

Develop a program to efficiently solve such systems without pivoting in a similar fashion to the algorithm used for tridiagonal matrices in Sec. 11.1.1. Test it for the following case:

[ 8 2 1 0 0 2 9 4 1 0 1 3 7 1 2 0 4 2 12 5 0 0 7 3 15 ] { x 1 x 2 x 3 x 4 x 5 } = { 5 2 0 1 5 }

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EBK NUMERICAL METHODS FOR ENGINEERS

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