Next:Experiment
3c Up:Appendix
CPrevious:Experiment
3a
Experiment 3b
If we assigned the function value at the point x = 1/2 to be
1. The following Table C.3 shows the solution
error at the point x = 3/4 and Table C.4
shows the ratio of two consecutive errors.
TABLE C.3
| |
|
|
|
|
| h=1/4 |
.27882977 10-1
|
.1279551110-3
|
-.3391180410-4
|
-.7741324210-7
|
| h=1/8 |
.1400546610-1
|
.6554924610-5
|
-.4306712110-5
|
-.1836329810-8
|
| h=1/16 |
.7006010410-2
|
-.1591302910-5
|
-.5399458010-6
|
-.1892429610-10
|
| h=1/32 |
.3502209510-2
|
-.8027850810-6
|
-.6750978410-7
|
.1823957710-11
|
| h=1/64 |
.1750703410-2
|
-.2513286110-6
|
-.8437127010-8
|
|
| h=1/128 |
.8752260310-3
|
-.6915999710-7
|
|
|
| h=1/256 |
.4375784310-3
|
|
|
|
TABLE C.4
|
r(1)
|
.50229450
|
.051228314
|
.12699743
|
.023721133
|
|
r(2)
|
.50023401
|
-.24276449
|
.12537309
|
.010305499
|
|
r(3)
|
.49988643
|
.50448288
|
.12503067
|
-.096381796
|
|
r(4)
|
.49988539
|
.31307085
|
.12497636
|
|
|
r(5)
|
.49992822
|
.27517758
|
|
|
|
r(6)
|
.49996049
|
|
|
|
Cheung Sau Hung
Wed Sep 15 10:03:39 HKT 1999