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Table 3 Example 3: Maximum absolute errors \(\pmb{e_{m,\infty}}\) with \(\pmb{m=5 }\) , \(\pmb{\alpha=0.5 }\) , \(\pmb{\beta =0.5}\) 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 1.21322402 × 10−4   1.23475331 × 10−3  
0.0078125 3.17697252 × 10−5 1.95 4.67009965 × 10−4 1.46
0.00390625 8.15383818 × 10−6 1.96 1.71676167 × 10−4 1.45
0.001953125 2.07020075 × 10−6 1.97 6.21304589 × 10−5 1.48
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