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Theory and Modern Applications

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

Ï…(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