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Experiment 3c

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If we assigned the function value at the point x = 1/2 to be 1. The following Table C.5 shows the solution error at the point x = 3/8 and Table C.6 shows the ratio of two consecutive errors.


 

TABLE C.5

 
h=1/8
.2119370810-1
.5396421110-4
-.6548959710-5
-.5633793910-8
h=1/16
.1062383610-1
.8579332910-5
-.8235495310-6
-.2057931410-9
h=1/32
.5316207810-2
.1527171110-5
-.1031237610-6
-.8258681910-11
h=1/64
.2658867510-2
.3044499510-6
-.1289769610-7
 
h=1/128
.1329586010-2
.6643921510-7
   
h=1/256
.6648262110-3
     

 

TABLE C.6

r(1)
.50127312
.15898190
.12575273
.036528341
r(2)
.50040378
.17800581
.12521865
.040130987
r(3)
.50014363
.19935550
.12507007
 
r(4)
.50005725
.21822705
   
r(5)
.50002498
     

 


Cheung Sau Hung

Wed Sep 15 10:03:39 HKT 1999