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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