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Experiment 3g

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If we assigned the function value at the point x = 1/2 to be 0. The following Table C.13 shows the solution error at the point x = 5/8 and Table C.14 shows the ratio of two consecutive errors.


 

TABLE C.13

 
h=1/8
.2900341810-4
.1486267310-7
.2308476310-11
-.1491862210-15
h=1/16
.7262001510-5
.9310812610-9
.3621408710-13
-.3295974610-15
h=1/32
.1816198710-5
.5822653110-10
.2393918410-15
-.1318389810-14
h=1/64
.4540933410-6
.3639383910-11
-.1294103710-14
 
h=1/128
.1135260710-6
.2262461110-12
   
h=1/256
.2838168610-7
     


 

TABLE C.14

r(1)
.25038433
.062645613
.015687441
-
r(2)
.25009616
.062536466
.0066104618
 
r(3)
.25002404
.062503877
   
r(4)
.25000601
.062166045
   
r(5)
.25000149
     

 


Cheung Sau Hung

Wed Sep 15 10:03:39 HKT 1999