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Table 3 Comparison of the MAE \(E_{\infty }(M)\) for Example 5.3

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

υ(t) M \(E_{\infty }(M)\) ([38]) \(E_{\infty }(M)\) ([39]) \(E_{\infty }(M)\) ([40])
sin(t) 4 2.47e − 2 7.53e − 7 2.87e − 1
8 5.60e − 3 3.16e − 10 1.44e − 1
16 1.33e − 3 2.11e − 10 7.26e − 2
\(\frac{t}{2}\) 4 5.98e − 3 1.20e − 6 2.12e − 1
8 1.42e − 3 3.34e − 9 1.06e − 1
16 3.47e − 4 1.08e − 10 5.30e − 2