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Table 1 Comparison of the absolute errors (AEs) for Example 5.1

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

υ(t) t M = 5 M = 6 M = 7
2 + sin2(t) 0.1 7.19412e − 6 1.54664e − 6 2.99341e − 7
0.3 1.10636e − 4 1.79715e − 5 2.93344e − 6
0.5 2.31202e − 4 3.27628e − 5 7.16227e − 6
0.7 1.83256e − 4 4.51147e − 5 1.57474e − 5
0.9 1.79488e − 4 4.28828e − 5 3.26010e − 5
\(2+\frac{t}{2}\) 0.1 6.93416e − 6 1.50588e − 6 2.89671e − 7
0.3 1.09643e − 4 1.84283e − 5 2.93573e − 6
0.5 2.41980e − 4 3.64777e − 5 7.18866e − 6
0.7 2.20654e − 4 5.38491e − 5 1.56380e − 5
0.9 2.02560e − 4 6.62049e − 5 3.11399e − 5