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Theory and Modern Applications

Table 2 Example 2: Maximum absolute errors \(\pmb{e_{m,\infty}}\) with \(\pmb{\tau=1/128}\) , \(\pmb{\alpha=0.4 }\) , \(\pmb{\beta=0.4}\) and \(\pmb{L=3}\)

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

m

TQF

FDM

\(e_{m,\infty}(u)=e_{m,\infty}(v)\)

\(e_{m,\infty}(u)=e_{m,\infty }(v)\)

3

3.21997018 × 10−4

3.02999632 × 10−3

4

2.32880457 × 10−4

2.48938916 × 10−3

5

1.24955778 × 10−4

1.51170703 × 10−3