```
D02TLF Example Program Results

Tolerance =  1.0E-04  R =  1.000E+06

Used a mesh of   21 points
Maximum error =   0.62E-09  in interval   20 for component    3

Mesh points:
1(1) 0.0000E+00   2(3) 0.5000E-01   3(2) 0.1000E+00   4(3) 0.1500E+00
5(2) 0.2000E+00   6(3) 0.2500E+00   7(2) 0.3000E+00   8(3) 0.3500E+00
9(2) 0.4000E+00  10(3) 0.4500E+00  11(2) 0.5000E+00  12(3) 0.5500E+00
13(2) 0.6000E+00  14(3) 0.6500E+00  15(2) 0.7000E+00  16(3) 0.7500E+00
17(2) 0.8000E+00  18(3) 0.8500E+00  19(2) 0.9000E+00  20(3) 0.9500E+00
21(1) 0.1000E+01

x        f        f'       g
0.000    0.0000   0.0000   1.0000
0.050    0.0070   0.1805   0.4416
0.100    0.0141   0.0977   0.1886
0.150    0.0171   0.0252   0.0952
0.200    0.0172  -0.0165   0.0595
0.250    0.0157  -0.0400   0.0427
0.300    0.0133  -0.0540   0.0322
0.350    0.0104  -0.0628   0.0236
0.400    0.0071  -0.0683   0.0156
0.450    0.0036  -0.0714   0.0078
0.500    0.0000  -0.0724   0.0000
0.550   -0.0036  -0.0714  -0.0078
0.600   -0.0071  -0.0683  -0.0156
0.650   -0.0104  -0.0628  -0.0236
0.700   -0.0133  -0.0540  -0.0322
0.750   -0.0157  -0.0400  -0.0427
0.800   -0.0172  -0.0165  -0.0595
0.850   -0.0171   0.0252  -0.0952
0.900   -0.0141   0.0977  -0.1886
0.950   -0.0070   0.1805  -0.4416
1.000    0.0000   0.0000  -1.0000

Tolerance =  1.0E-04  R =  1.000E+08

Used a mesh of   21 points
Maximum error =   0.45E-08  in interval    6 for component    3

Mesh points:
1(1) 0.0000E+00   2(3) 0.1757E-01   3(2) 0.3515E-01   4(3) 0.5203E-01
5(2) 0.6891E-01   6(3) 0.8593E-01   7(2) 0.1030E+00   8(3) 0.1351E+00
9(2) 0.1672E+00  10(3) 0.2306E+00  11(2) 0.2939E+00  12(3) 0.4713E+00
13(2) 0.6486E+00  14(3) 0.7455E+00  15(2) 0.8423E+00  16(3) 0.8824E+00
17(2) 0.9225E+00  18(3) 0.9449E+00  19(2) 0.9673E+00  20(3) 0.9836E+00
21(1) 0.1000E+01

x        f        f'       g
0.000    0.0000   0.0000   1.0000
0.018    0.0025   0.1713   0.3923
0.035    0.0047   0.0824   0.1381
0.052    0.0056   0.0267   0.0521
0.069    0.0058   0.0025   0.0213
0.086    0.0057  -0.0073   0.0097
0.103    0.0056  -0.0113   0.0053
0.135    0.0052  -0.0135   0.0027
0.167    0.0047  -0.0140   0.0020
0.231    0.0038  -0.0142   0.0015
0.294    0.0029  -0.0142   0.0012
0.471    0.0004  -0.0143   0.0002
0.649   -0.0021  -0.0143  -0.0008
0.745   -0.0035  -0.0142  -0.0014
0.842   -0.0049  -0.0139  -0.0022
0.882   -0.0054  -0.0127  -0.0036
0.922   -0.0058  -0.0036  -0.0141
0.945   -0.0057   0.0205  -0.0439
0.967   -0.0045   0.0937  -0.1592
0.984   -0.0023   0.1753  -0.4208
1.000    0.0000  -0.0000  -1.0000

Tolerance =  1.0E-04  R =  1.000E+10

Used a mesh of   21 points
Maximum error =   0.31E-05  in interval    7 for component    3

Mesh points:
1(1) 0.0000E+00   2(3) 0.6256E-02   3(2) 0.1251E-01   4(3) 0.1851E-01
5(2) 0.2450E-01   6(3) 0.3076E-01   7(2) 0.3702E-01   8(3) 0.4997E-01
9(2) 0.6292E-01  10(3) 0.9424E-01  11(2) 0.1256E+00  12(3) 0.4190E+00
13(2) 0.7125E+00  14(3) 0.8246E+00  15(2) 0.9368E+00  16(3) 0.9544E+00
17(2) 0.9719E+00  18(3) 0.9803E+00  19(2) 0.9886E+00  20(3) 0.9943E+00
21(1) 0.1000E+01

x        f        f'       g
0.000    0.0000   0.0000   1.0000
0.006    0.0009   0.1623   0.3422
0.013    0.0016   0.0665   0.1021
0.019    0.0018   0.0204   0.0318
0.025    0.0019   0.0041   0.0099
0.031    0.0019  -0.0014   0.0028
0.037    0.0019  -0.0031   0.0007
0.050    0.0019  -0.0038  -0.0002
0.063    0.0018  -0.0038  -0.0003
0.094    0.0017  -0.0039  -0.0003
0.126    0.0016  -0.0039  -0.0002
0.419    0.0004  -0.0041  -0.0001
0.712   -0.0008  -0.0042   0.0001
0.825   -0.0013  -0.0043   0.0002
0.937   -0.0018  -0.0043   0.0003
0.954   -0.0019  -0.0042   0.0001
0.972   -0.0019  -0.0003  -0.0049
0.980   -0.0019   0.0152  -0.0252
0.989   -0.0015   0.0809  -0.1279
0.994   -0.0008   0.1699  -0.3814
1.000    0.0000  -0.0000  -1.0000
```