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3h Up:Appendix
CPrevious:Experiment
3f
Experiment 3g
If we assigned the function value at the point x = 1/2 to be
0. The following Table C.13 shows the solution
error at the point x = 5/8 and Table C.14
shows the ratio of two consecutive errors.
TABLE C.13
| |
|
|
|
|
| h=1/8 |
.29003418 10-4
|
.14862673 10-7
|
.23084763 10-11
|
-.14918622 10-15
|
| h=1/16 |
.72620015 10-5
|
.93108126 10-9
|
.36214087 10-13
|
-.32959746 10-15
|
| h=1/32 |
.18161987 10-5
|
.58226531 10-10
|
.23939184 10-15
|
-.13183898 10-14
|
| h=1/64 |
.45409334 10-6
|
.36393839 10-11
|
-.12941037 10-14
|
|
| h=1/128 |
.11352607 10-6
|
.22624611 10-12
|
|
|
| h=1/256 |
.28381686 10-7
|
|
|
|
TABLE C.14
|
r(1)
|
.25038433
|
.062645613
|
.015687441
|
-
|
|
r(2)
|
.25009616
|
.062536466
|
.0066104618
|
|
|
r(3)
|
.25002404
|
.062503877
|
|
|
|
r(4)
|
.25000601
|
.062166045
|
|
|
|
r(5)
|
.25000149
|
|
|
|
Cheung Sau Hung
Wed Sep 15 10:03:39 HKT 1999