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2. Consider the differentiation matrix for f" in cubic spline with periodic run-off conditions, A- 41 4 1 1 0 0 0 1 4 0 1 0 1 0 0 01 4 0 0 1 1 4 nxn which falls within the form of matrix A outlined in problem 1. Solve for the problem Az = b with a matrix of dimension 9 × 9 and with a right hand side vector bj = sin(2j/10), j = 19.

2. Consider the differentiation matrix for f" in cubic spline with periodic run-off conditions, A- 41 4 1 1 0 0 0 1 4 0 1 0 1 0 0 01 4 0 0 1 1 4 nxn which falls within the form of matrix A outlined in problem 1. Solve for the problem Az = b with a matrix of dimension 9 × 9 and with a right hand side vector bj = sin(2j/10), j = 19.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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2. Consider the differentiation matrix for f" in cubic spline with periodic run-off conditions, A = 4 1 0 0 1 4 1 0 0 1 4 0 0 1 0 1 0 0 1 4 1 0 1 4 TI X TI which falls within the form of matrix A outlined in problem 1. Solve for the problem Az b with a matrix of dimension 9 x 9 and with a right hand side vector bj = sin(2jx/10), j = 19.
Transcribed Image Text:2. Consider the differentiation matrix for f" in cubic spline with periodic run-off conditions, A = 4 1 0 0 1 4 1 0 0 1 4 0 0 1 0 1 0 0 1 4 1 0 1 4 TI X TI which falls within the form of matrix A outlined in problem 1. Solve for the problem Az b with a matrix of dimension 9 x 9 and with a right hand side vector bj = sin(2jx/10), j = 19.
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