Table 9 The numerical solutions for different n values with exact solution for Example 3 in [21]
From: An exponential spline approximation for fractional Bagley–Torvik equation
x | n = 10 | n = 20 | n = 40 | Exact Solutions |
|---|---|---|---|---|
0.1 | −0.0989868450 | −0.0989087970 | −0.0989662744 | −0.09900000000 |
0.2 | −0.1915262280 | −0.1918109570 | −0.1919429930 | −0.19200000000 |
0.3 | −0.2722913010 | −0.2727620400 | −0.2729317000 | −0.27300000000 |
0.4 | −0.3351934350 | −0.3357462050 | −0.3359286851 | −0.33600000000 |
0.5 | −0.3741958950 | −0.3747551070 | −0.3749319383 | −0.37500000000 |
0.6 | −0.3832752590 | −0.3837831780 | −0.3839400733 | −0.38400000000 |
0.7 | −0.3564138890 | −0.3568261360 | −0.3569520382 | −0.35700000000 |
0.8 | −0.2875962800 | −0.2878801690 | −0.2879668795 | −0.28800000000 |
0.9 | −0.1708055150 | −0.1709411180 | −0.1709835662 | −0.17100000000 |