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CPrevious:Experiment
3g
Experiment 3h
If we assigned the function value at the point x = 1/2 to be
0. The following Table C.15 shows the solution
error at the point x = 3/4 and Table C.16
shows the ratio of two consecutive errors.
TABLE C.15
| |
|
|
|
|
| h=1/4 |
.15334056 10-3
|
.31306321 10-6
|
.19408948 10-9
|
.33317099 10-13
|
| h=1/8 |
.38569937 10-4
|
.19748410 10-7
|
.30654437 10-11
|
.76327833 10-16
|
| h=1/16 |
.96572955 10-5
|
.12371495 10-8
|
.47975512 10-13
|
-.52735594 10-15
|
| h=1/32 |
.24152517 10-5
|
.77366818 10-10
|
.22898350 10-15
|
-.12906343 10-14
|
| h=1/64 |
.60387096 10-6
|
.48356423 10-11
|
-.12663481 10-14
|
|
| h=1/128 |
.15097137 10-6
|
.30104044 10-12
|
|
|
| h=1/256 |
.37743067 10-7
|
|
|
|
TABLE C.16
|
r(1)
|
.25153122
|
.063081221
|
.015793972
|
.0022909507
|
|
r(2)
|
.25038401
|
.062645523
|
.015650430
|
|
|
r(3)
|
.25009608
|
.062536355
|
.0047729245
|
|
|
r(4)
|
.25002402
|
.062502794
|
|
|
|
r(5)
|
.25000601
|
.062254489
|
|
|
|
r(6)
|
.25000150
|
|
|
|
Cheung Sau Hung
Wed Sep 15 10:03:39 HKT 1999