Skip to main content

Table 7 Absolute errors for \(\mathfrak{h}(t)=t\) and \(\sigma (x,t)=0.5\) at equally spaced points \((x_{j}, t_{j})\) for Example 6.4

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

\((x_{j}, t_{j})\) N = 3 N = 4 N = 5 Error in [31]
(0.0, 0.0) 0.0000 0.0000 0.0000 0.00
(0.1, 0.1) 5.5521 × 10−7 1.7993 × 10−8 1.3365 × 10−9 8.50 × 10−8
(0.2, 0.2) 2.8124 × 10−6 3.5316 × 10−8 2.4635 × 10−9 9.24 × 10−8
(0.3, 0.3) 8.2040 × 10−8 1.6510 × 10−7 8.9275 × 10−9 8.24 × 10−8
(0.4, 0.4) 1.7251 × 10−5 5.7729 × 10−7 2.1087 × 10−8 1.59 × 10−7
(0.5, 0.5) 5.1356 × 10−5 8.4428 × 10−7 1.0769 × 10−7 2.50 × 10−7
(0.6, 0.6) 9.4605 × 10−5 5.8758 × 10−7 2.1640 × 10−7 2.42 × 10−7
(0.7, 0.7) 1.3139 × 10−4 1.7271 × 10−7 2.8260 × 10−7 2.19 × 10−7
(0.8, 0.8) 1.4741 × 10−4 8.6705 × 10−7 2.7865 × 10−7 4.80 × 10−7
(0.9, 0.9) 1.4313 × 10−4 7.6574 × 10−7 2.7263 × 10−7 9.18 × 10−7
(1.0, 1.0) 1.4740 × 10−4 3.6546 × 10−7 3.1361 × 10−7 6.83 × 10−7