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Theory and Modern Applications

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

Ï…(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