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Table 5 Comparison of the absolute error with the methods in [12, 17, 28] for Example 3

From: A fast multiscale Galerkin algorithm for solving boundary value problem of the fractional Bagley–Torvik equation

xOur methodMethod in [17]Method in [12]Method in [28]
n = 3\(n^{*}=10\)m = 8m = 8
0.11.91e-32.00e-31.08e-23.59e-3
0.26.30e-41.74e-38.96e-21.58e-3
0.34.17e-41.53e-33.78e-21.79e-3
0.44.38e-41.32e-31.44e-71.63e-3
0.57.23e-51.11e-31.01e-31.16e-3
0.61.45e-48.92e-46.62e-85.84e-4
0.71.87e-46.53e-41.26e-31.27e-4
0.82.19e-44.19e-41.28e-41.19e-4
0.93.06e-42.02e-42.07e-85.54e-4