Table 2 Comparison between the least squares residual power series method (LSRPSM) and the residual power series method (RPSM) for problem 2 at \(\:\alpha\:=1\).
t | x | LSRPS | Exact | Absolute error (LSRPSM) | Absolute error (RPSM)18 |
---|---|---|---|---|---|
0 | 10 | 0.030421 | 0.030421 | 0 | 0 |
0.1 | 0.030739 | 0.030739 | 6.7233E − 16 | 1.41553E − 15 | |
0.2 | 0.031061 | 0.031061 | 9.124E − 15 | 4.68063E − 14 | |
0.3 | 0.031386 | 0.031386 | 9.9486E − 14 | 3.6391E − 13 | |
0.4 | 0.031714 | 0.031714 | 5.4738E − 13 | 1.56886E − 12 | |
0.5 | 0.032046 | 0.032046 | 2.0665E − 12 | 4.89617E − 12 | |
0.6 | 0.03238 | 0.03238 | 6.0629E − 12 | 1.24542E − 11 | |
0.7 | 0.032718 | 0.032718 | 1.4917E − 11 | 2.75069E − 11 | |
0.8 | 0.033059 | 0.033059 | 3.2291E − 11 | 5.47829E − 11 | |
0.9 | 0.033403 | 0.033403 | 6.3467E − 11 | 1.0081E − 10 | |
1 | 0.033715 | 0.033715 | 1.1571E − 10 | 1.7428E − 10 |