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3d Up:Appendix
CPrevious:Experiment
3b
Experiment 3c
If we assigned the function value at the point x = 1/2 to be
1. The following Table C.5 shows the solution
error at the point x = 3/8 and Table C.6
shows the ratio of two consecutive errors.
TABLE C.5
| |
|
|
|
|
| h=1/8 |
.21193708 10-1
|
.53964211 10-4
|
-.65489597 10-5
|
-.56337939 10-8
|
| h=1/16 |
.10623836 10-1
|
.85793329 10-5
|
-.82354953 10-6
|
-.20579314 10-9
|
| h=1/32 |
.53162078 10-2
|
.15271711 10-5
|
-.10312376 10-6
|
-.82586819 10-11
|
| h=1/64 |
.26588675 10-2
|
.30444995 10-6
|
-.12897696 10-7
|
|
| h=1/128 |
.13295860 10-2
|
.66439215 10-7
|
|
|
| h=1/256 |
.66482621 10-3
|
|
|
|
TABLE C.6
|
r(1)
|
.50127312
|
.15898190
|
.12575273
|
.036528341
|
|
r(2)
|
.50040378
|
.17800581
|
.12521865
|
.040130987
|
|
r(3)
|
.50014363
|
.19935550
|
.12507007
|
|
|
r(4)
|
.50005725
|
.21822705
|
|
|
|
r(5)
|
.50002498
|
|
|
|
Cheung Sau Hung
Wed Sep 15 10:03:39 HKT 1999