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Table 2 Comparison of the AEs for Example 5.2 with \(\upsilon (t)=t \)

From: Operational matrices based on the shifted fifth-kind Chebyshev polynomials for solving nonlinear variable order integro-differential equations

M t Proposed method Method of [37]
5 0.1 4.39175e − 3 3.17089e − 3
0.3 1.54003e − 3 4.38223e − 4
0.5 3.13373e − 4 3.33008e − 3
0.7 2.45949e − 4 3.03242e − 2
0.9 2.29803e − 4 2.02549e − 1
6 0.1 2.87601e − 4 1.31233e − 3
0.3 4.15540e − 5 1.28026e − 4
0.5 1.33728e − 5 3.72545e − 3
0.7 8.30744e − 5 2.64696e − 2
0.9 8.30885e − 5 1.81576e − 1
7 0.1 2.76736e − 6 8.24676e − 4
0.3 1.16055e − 6 9.11265e − 5
0.5 1.01844e − 5 1.25615e − 3
0.7 1.09912e − 5 9.57862e − 3
0.9 1.10564e − 5 8.65824e − 2