1540470959-Boundary_Value_Problems_and_Partial_Differential_Equations__Powers

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492 Answers to Odd-Numbered Exercises


u 2 (m+ 1 )=^1
2

u 1 (m)+^1
4

u 5 (m)−u 2 (m− 1 ),
u 5 (m+ 1 )=u 2 (m)−u 5 (m− 1 ).

m
012 3 4 5 6 7
u 1 0 00 1 / 80 − 5 / 16 0 15 / 32
u 2 0 01 / 40 − 3 / 80 5 / 16 0
u 5 0 10 − 3 / 40 3 / 80 − 1 / 16

9.

i
m 125
0 111
11 / 23 / 41
2 − 1 / 40 1 / 2
3 − 1 / 2 − 3 / 4 − 3 / 2
4 − 1 / 2 − 5 / 4 − 2
5 − 3 / 4 − 3 / 4 − 1


  1. See Fig. 12 below for numbering of points.


i
m 123 456
0 100 000
10 1 / 41 / 4000
2 − 3 / 40 0 1 / 41 / 80
30 − 1 / 2 − 7 / 16 0 0 3 / 16

Figure 12 Solution of Exercise 11, Section 7.5.
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