8. Find the FTBS (forward-time, backward space) scheme for the uni-directional wave equation Ut = -cux, where c is the velocity of the wave and show that it is consistent.
8. Find the FTBS (forward-time, backward space) scheme for the uni-directional wave equation Ut = -cux, where c is the velocity of the wave and show that it is consistent.
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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Transcribed Image Text:8. Find the FTBS (forward-time, backward space) scheme for the uni-directional
wave equation
Ut =
-Cux,
where c is the velocity of the wave and show that it is consistent.
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