10. Consider the equation u, = ux. Use forward differences for both partial derivatives. (a) Write down the scheme. (b) Draw the template. (c) Find the separated solutions.
10. Consider the equation u, = ux. Use forward differences for both partial derivatives. (a) Write down the scheme. (b) Draw the template. (c) Find the separated solutions.
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:10. Consider the equation u, = ux. Use forward differences for both partial
derivatives.
(a) Write down the scheme.
(b) Draw the template.
(c) Find the separated solutions.
(d) Show that the scheme is stable if 0 < At/Ax ≤ 1.
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