Theory and Modern Applications
Table 3 Comparison of the numerical results of the hybrid function and the present method for Example 9.2
From: Numerical solution of the Bagley–Torvik equation using shifted Chebyshev operational matrix
t | Hybrid function [28] | Present method | Present method | Exact solutions |
|---|---|---|---|---|
M = 3, N = 8 | N = 8 | N = 16 | ||
0.1 | 0.0364875 | 0.036487275 | 0.036487532 | 0.036487479 |
0.2 | 0.1406398 | 0.140637116 | 0.140639669 | 0.140639621 |
0.3 | 0.3074848 | 0.307491350 | 0.307484733 | 0.307484627 |
0.4 | 0.5332842 | 0.533276649 | 0.533283636 | 0.533284109 |
0.5 | 0.8147568 | 0.814714664 | 0.814758247 | 0.814756949 |
0.6 | 1.1488372 | 1.148900469 | 1.148848315 | 1.148837422 |
0.7 | 105325655 | 1.532810812 | 1.532537770 | 1.532565426 |
0.8 | 1.9630293 | 1.963810065 | 1.963013767 | 1.963029254 |
0.9 | 2.4373338 | 2.436869827 | 2.437896842 | 2.437333970 |