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.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section9.9: Properties Of Determinants
Problem 46E
Question
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.
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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