7. Determine the formal von-Neumann stability of discrete wave equation n+1 u²}+¹ +u'};¯¹ — 2u²} __ u'};+1+u²}_1 −2u²} n-1 k² h² where k = At and h = Ax.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter6: The Trigonometric Functions
Section6.6: Additional Trigonometric Graphs
Problem 78E
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7. Determine the formal von-Neumann stability of discrete wave equation
n+1
n
u"};+ ¹ + u^};¯¹ — 2u"} __ u²}+1+u"}_1−2u"}
k²
h²
where k
=
At and h = Ax.
Transcribed Image Text:7. Determine the formal von-Neumann stability of discrete wave equation n+1 n u"};+ ¹ + u^};¯¹ — 2u"} __ u²}+1+u"}_1−2u"} k² h² where k = At and h = Ax.
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