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Table 4 Numerical results and approximated RKHS-solutions of Example 4.2

From: Construction of fractional power series solutions to fractional stiff system using residual functions algorithm

t Approximate u(t) Approximate v(t) Absolute Error u(t) Absolute Error v(t)
0. 1 1 0. 0.
0.2 0.6703194887 0.8187299974 5.573444155 × 10−7 7.556686423 × 10−7
0.4 0.449327762 0.6703188097 1.202139499 × 10−6 1.236292949 × 10−6
0.6 0.3011928511 0.5458760657 1.36082079 × 10−6 0.002935570398
0.8 0.201895234 0.4245696735 1.284006963 × 10−6 0.02475929057
1. 0.1353341734 0.3032632814 1.109822727 × 10−6 0.0646161597
1.2 0.09071704242 0.1819568893 9.108704336 × 10−7 0.1192373227
1.4 0.06080934018 0.0606504971 7.224408154 × 10−7 0.1859464668
1.6 0.04076164474 −0.06065589505 5.592345995 × 10−7 0.262552413
1.8 0.02732329734 −0.1819622872 4.251088836 × 10−7 0.3472611754
2. 0.01831532026 −0.3032686793 3.186323165 × 10−7 0.4386039626