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Experiment 3h

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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
.1533405610-3
.3130632110-6
.1940894810-9
.3331709910-13
h=1/8
.3856993710-4
.1974841010-7
.3065443710-11
.7632783310-16
h=1/16
.9657295510-5
.1237149510-8
.4797551210-13
-.5273559410-15
h=1/32
.2415251710-5
.7736681810-10
.2289835010-15
-.1290634310-14
h=1/64
.6038709610-6
.4835642310-11
-.1266348110-14
 
h=1/128
.1509713710-6
.3010404410-12
   
h=1/256
.3774306710-7
     


 

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