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Experiment 3f

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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
-.2900341810-4
-.1486267310-7
-.2308559610-11
-.2185751610-15
h=1/16
-.7262001510-5
-.9310813310-9
-.3628694610-13
-.5169476010-15
h=1/32
-.1816198710-5
-.5822660110-10
-.1075528610-14
-.1380839910-14
h=1/64
-.4540933410-6
-.3640171510-11
-.1377370410-14
 
h=1/128
-.1135260710-6
-.2287996210-12
   
h=1/256
-.2838168810-7
     

 


 
 

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