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Table 1 Example 2: Maximum absolute errors \(\pmb{e_{m,\infty}}\) with \(\pmb{m=5 }\) , \(\pmb{\alpha=0.4 }\) , \(\pmb{\beta =0.4}\) and \(\pmb{L=3}\)

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

τ TQF \(O(\tau^{2})\) FDM \(O(\tau^{2-\alpha})\)
\(e_{5,\infty}(u)=e_{5,\infty}(v)\) \(e_{5,\infty}(u)=e_{5,\infty }(v)\)
0.015625 1.62969572 × 10−3   1.58537183 × 10−2  
0.0078125 4.07935306 × 10−4 1.99 5.42638453 × 10−3 1.54
0.00390625 9.40924121 × 10−5 2.01 1.82754471 × 10−3 1.57
0.001953125 1.58381076 × 10−5 2.07 6.04886113 × 10−4 1.55
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