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Theory and Modern Applications

Table 1 The maximum absolute errors and temporal convergence orders with \(N=64\)

From: Sinc-Galerkin method for solving the time fractional convection–diffusion equation with variable coefficients

α

τ

\(e_{\infty }(h,\tau )\)

\(\mathit{rate}_{1}\)

0.2

1/64

1.3966e−6

1/128

4.1281e−7

1.7584

1/256

1.1795e−7

1.8073

1/512

3.3193e−8

1.8292

0.4

1/64

6.0618e−6

1/128

2.0242e−6

1.5824

1/256

6.7062e−7

1.5938

1/512

2.1870e−7

1.6165

0.6

1/64

2.1210e−5

1/128

8.0670e−6

1.3946

1/256

3.0614e−6

1.3978

1/512

1.1582e−6

1.4023

0.8

1/64

6.8883e−5

1/128

3.0008e−5

1.1988

1/256

1.3065e−5

1.1996

1/512

5.6851e−6

1.2003