Next:Experiment
3e Up:Appendix
CPrevious:Experiment
3c
Experiment 3d
If we assigned the function value at the point x = 1/2 to be
1. The following Table C.7 shows the solution
error at the point x = 5/8 and Table C.8
shows the ratio of two consecutive errors.
TABLE C.7
| |
|
|
|
|
| h=1/8 |
.21251715 10-1
|
.2500538110-4
|
-.6574960710-5
|
-.3781369610-8
|
| h=1/16 |
.1063836010-1
|
.1320124610-5
|
-.8251787910-6
|
-.8949250710-10
|
| h=1/32 |
.5319840210-2
|
-.2888529410-6
|
-.1032256510-6
|
-.9817771610-12
|
| h=1/64 |
.2659775710-2
|
-.1496324710-6
|
-.1290406610-7
|
|
| h=1/128 |
.1329813010-2
|
-.4708616810-7
|
|
|
| h=1/256 |
.6648829710-3
|
|
|
|
TABLE C.8
|
r(1)
|
.50058831
|
.052793622
|
.12550323
|
.023666691
|
|
r(2)
|
.50006205
|
-.21880732
|
.12509490
|
.010970496
|
|
r(3)
|
.49997285
|
.51802304
|
.12500832
|
|
|
r(4)
|
.49997187
|
.31467880
|
|
|
|
r(5)
|
.49998230
|
|
|
|
Cheung Sau Hung
Wed Sep 15 10:03:39 HKT 1999