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Table 1 Numerical comparison of the errors in Example 4.2

From: On nonlocal boundary value problems of nonlinear nth-order q-difference equations

n q
0.6 0.7 0.8 0.9
1 5.14630E − 02 5.03004E − 02 4.73555E − 02 4.34192E − 02
2 6.99387E − 03 6.04295E − 03 4.93923E − 03 3.89799E − 03
3 9.43402E − 04 7.16415E − 04 5.04360E − 04 3.38723E − 04
4 1.27086E − 04 8.47161E − 05 5.13017E − 05 2.93003E − 05
5 1.71157E − 05 1.00129E − 05 5.21482E − 06 2.53324E − 06
6 2.30502E − 06 1.18335E − 06 5.30033E − 07 2.19010E − 07
7 3.10421E − 07 1.39850E − 07 5.38716E − 08 1.89344E − 08
8 4.18050E − 08 1.65275E − 08 5.47540E − 09 1.63698E − 09
9 5.62994E − 09 1.95323E − 09 5.56510E − 10 1.41532E − 10
10 7.58194E − 10 2.30834E − 10 5.65640E − 11 1.22410E − 11
11 1.02108E − 10 2.72809E − 11 5.74957E − 12 1.06670E − 12
12 1.37516E − 11 3.22392E − 12 5.85199E − 13 9.96425E − 14
13 1.85246E − 12 3.81251E − 13 6.02296E − 14 1.83742E − 14
14 2.49800E − 13 4.51861E − 14 6.55032E − 15 8.43769E − 15
15 3.42504E − 14 6.10623E − 15 1.72085E − 15 8.32667E − 15
16 4.88498E − 15 1.05471E − 15 1.55431E − 15 8.32667E − 15
17 8.88178E − 16 7.21645E − 16 1.55431E − 15 8.32667E − 15
18 4.44089E − 16 6.10623E − 16 1.55431E − 15 8.32667E − 15
19 3.33067E − 16 6.10623E − 16 1.55431E − 15 8.32667E − 15
20 3.33067E − 16 6.10623E − 16 1.55431E − 15 8.32667E − 15