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TABLE2.DOC
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1986-04-11
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The following table should be printed out in 132-column format.
TABLE 2 - The numerical solution of the equations in example 3.
(TOLR = 1.E-10, TOLA = 0.0)
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RKF-4 RKV-5 RKV-7
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x y(1) y(2) y(1) y(2) y(1) y(2)
.0 .750000000 .000000000 .750000000 .000000000 .750000000 .000000000
.5 .619768033 .477791373 .619768033 .477791373 .619768033 .477791373
1.0 .294417538 .812178519 .294417538 .812178519 .294417538 .812178519
1.5 -.105176381 .958038093 -.105176381 .958038093 -.105176381 .958038093
2.0 -.490299792 .939874997 -.490299792 .939874997 -.490299792 .939874997
2.5 -.813942831 .799590803 -.813942831 .799590803 -.813942831 .799590803
3.0 -1.054031516 .575706079 -1.054031516 .575706079 -1.054031516 .575706079
3.5 -1.200735041 .300160709 -1.200735041 .300160709 -1.200735041 .300160709
4.0 -1.250000000 .000000000 -1.250000000 .000000000 -1.250000000 .000000000
4.5 -1.200735041 -.300160709 -1.200735041 -.300160709 -1.200735041 -.300160708
5.0 -1.054031516 -.575706079 -1.054031516 -.575706079 -1.054031516 -.575706078
5.5 -.813942831 -.799590803 -.813942831 -.799590803 -.813942831 -.799590803
6.0 -.490299792 -.939874997 -.490299792 -.939874997 -.490299792 -.939874997
6.5 -.105176381 -.958038093 -.105176381 -.958038093 -.105176381 -.958038093
7.0 .294417538 -.812178519 .294417538 -.812178519 .294417538 -.812178519
7.5 .619768033 -.477791373 .619768033 -.477791373 .619768033 -.477791373
8.0 .750000000 .000000000 .750000000 .000000000 .750000000 .000000000
8.5 .619768032 .477791374 .619768033 .477791373 .619768033 .477791373
9.0 .294417538 .812178520 .294417538 .812178519 .294417539 .812178519
9.5 -.105176382 .958038093 -.105176381 .958038093 -.105176381 .958038093
10.0 -.490299793 .939874996 -.490299792 .939874997 -.490299792 .939874997
10.5 -.813942832 .799590803 -.813942831 .799590803 -.813942831 .799590804
11.0 -1.054031516 .575706078 -1.054031516 .575706079 -1.054031516 .575706079
11.5 -1.200735042 .300160708 -1.200735041 .300160709 -1.200735041 .300160709
12.0 -1.250000000 -.000000001 -1.250000000 .000000000 -1.250000000 .000000001
________________________________________________________________________________________________________
Relative
error 1.220E-010 5.665E-010 6.948E-012 1.184E-010 1.919E-010 8.529E-010
at x=12
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Total function 2928 2640 1872
evaluations
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