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3g Up:Appendix
CPrevious:Experiment
3e
Experiment 3f
If we assigned the function value at the point x = 1/2 to be
0. The following Table C.11 shows the solution
error at the point x = 3/8 and Table C.12
shows the ratio of two consecutive errors.
TABLE C.11
| |
|
|
|
|
| h=1/8 |
-.29003418 10-4
|
-.14862673 10-7
|
-.23085596 10-11
|
-.21857516 10-15
|
| h=1/16 |
-.72620015 10-5
|
-.93108133 10-9
|
-.36286946 10-13
|
-.51694760 10-15
|
| h=1/32 |
-.18161987 10-5
|
-.58226601 10-10
|
-.10755286 10-14
|
-.13808399 10-14
|
| h=1/64 |
-.45409334 10-6
|
-.36401715 10-11
|
-.13773704 10-14
|
|
| h=1/128 |
-.11352607 10-6
|
-.22879962 10-12
|
|
|
| h=1/256 |
-.28381688 10-7
|
|
|
|
TABLE C.12
|
r(1)
|
.25038433
|
.062645618
|
.015718436
|
-
|
|
r(2)
|
.25009616
|
.062536535
|
.029639545
|
|
|
r(3)
|
.25002404
|
.062517328
|
|
|
|
r(4)
|
.25000601
|
.062854077
|
|
|
|
r(5)
|
.25000151
|
|
|
|
Cheung Sau Hung
Wed Sep 15 10:03:39 HKT 1999