Consider the Boundary-Value Problem: ² ²u 9 = dx² 000 a(0, 1) = 0, u (2, 1) = 0,05155 u(x, 0) = 3x (x-2), 0≤x≤2 if n = 6, what is the minimum value of m, which makes the explicit finite difference method stable when applied to the above problem? 60 18 45 di² O 30 . 0

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Consider the Boundary-Value Problem:
²ua²u
0<x<2, 0<I<5
a(0, 1) = 0, u (2, 1) = 0,0≤1≤5
u(x, 0) = 3x (x-2).0≤x≤2
if n = 6, what is the minimum value of m, which makes the explicit finite difference method stable when applied to the above problem?
O 60
18
9.
dx² d1²
45
O 30
Transcribed Image Text:Consider the Boundary-Value Problem: ²ua²u 0<x<2, 0<I<5 a(0, 1) = 0, u (2, 1) = 0,0≤1≤5 u(x, 0) = 3x (x-2).0≤x≤2 if n = 6, what is the minimum value of m, which makes the explicit finite difference method stable when applied to the above problem? O 60 18 9. dx² d1² 45 O 30
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