Table 8 The numerical solutions of Method I for different n values with exact solution for Example 3
From: An exponential spline approximation for fractional Bagley–Torvik equation
x | n = 10 | n = 20 | n = 40 | Exact Solutions |
|---|---|---|---|---|
0.1 | −0.0999839029648408 | −0.0991780129777646 | −0.09902563129364461 | −0.09900000000 |
0.2 | −0.1929496573590681 | −0.1921404327629765 | −0.19201920290616248 | −0.19200000000 |
0.3 | −0.2737783729484617 | −0.2731115210232273 | −0.27301499021665854 | −0.27300000000 |
0.4 | −0.3366319163396341 | −0.3360891417690852 | −0.33601185443796866 | −0.33600000000 |
0.5 | −0.3755082480342222 | −0.3750708830494593 | −0.37500935812857605 | −0.37500000000 |
0.6 | −0.3844011689404432 | −0.3840554682536743 | −0.38400728559367271 | −0.38400000000 |
0.7 | −0.3573069005124369 | −0.3570421354342761 | −0.35700551447130562 | −0.35700000000 |
0.8 | −0.2882213997500855 | −0.2880303912577806 | −0.28800396865039084 | −0.28800000000 |
0.9 | −0.1711547289079775 | −0.1710197837825782 | −0.17100259741188184 | −0.17100000000 |