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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