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Theory and Modern Applications

Table 6 Example 4: Absolute errors \(\pmb{\vert u_{7}-u_{6}\vert}\) and \(\pmb{\vert v_{7}-v_{6}\vert}\) with \(\pmb{\alpha=\beta=0.5}\) , in the final time

From: On a hybrid spectral exponential Chebyshev method for time-fractional coupled Burgers equations on a semi-infinite domain

x

TQF

FDM

\(\vert u_{7}-u_{6}\vert\)

\(\vert v_{7}-v_{6}\vert\)

\(\vert u_{7}-u_{6}\vert\)

\(\vert v_{7}-v_{6}\vert\)

0.1

1.920638996 × 10−2

1.920638996 × 10−2

1.775781437 × 10−2

1.775781437 × 10−2

0.2

3.057241885 × 10−3

3.057241885 × 10−3

2.819522500 × 10−3

2.819522500 × 10−3

0.3

3.102165273 × 10−3

3.102165273 × 10−3

2.850429678 × 10−3

2.850429678 × 10−3

0.4

2.564731408 × 10−3

2.564731408 × 10−3

2.345949628 × 10−3

2.345949628 × 10−3

0.5

1.882240640 × 10−3

1.882240640 × 10−3

1.712524225 × 10−3

1.712524225 × 10−3

0.6

1.281492551 × 10−3

1.281492551 × 10−3

1.158901227 × 10−3

1.158901227 × 10−3

0.7

8.355109022 × 10−4

8.355109022 × 10−4

7.506877573 × 10−4

7.506877573 × 10−4

0.8

5.381590409 × 10−4

5.381590409 × 10−4

4.805394710 × 10−4

4.805394710 × 10−4

0.9

3.545769785 × 10−4

3.545769785 × 10−4

3.151826781 × 10−4

3.151826781 × 10−4