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Advances in Continuous and Discrete Models

Theory and Modern Applications

Table 1 Maximum absolute errors and CPU time for \(N=4\) for Example 6.1

From: Bivariate Chebyshev polynomials of the fifth kind for variable-order time-fractional partial integro-differential equations with weakly singular kernel

\(\mathfrak{h}(t)\)

Present method

σ(x,t)

MAE

CPU

Error in [31]

t

1

1.7449 × 10−18

3.03 s

5.4665 × 10−14

0.5

1.6707 × 10−19

3.43 s

2.3149 × 10−12

\(1-e^{-xt}\)

8.4642 × 10−19

14.01 s

2.2154 × 10−12

cos(t)

1

4.7096 × 10−19

3.09 s

5.9807 × 10−14

0.5

2.6267 × 10−19

3.79 s

3.1643 × 10−12

\(1-e^{-xt}\)

1.8577 × 10−18

18.70 s

3.7712 × 10−12

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