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Theory and Modern Applications

Table 2 The maximum absolute errors and temporal convergence orders with \(\alpha =0.8\) and \(N=128\)

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

ϵ

τ

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

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

1/4

1/64

1.4791e−5

1/128

6.7953e−6

1.1221

1/256

3.0424e−6

1.1593

1/512

1.3443e−6

1.1782

1/1024

5.8999e−7

1.1882

1/32

1/64

3.0938e−5

1/128

1.4016e−5

1.1423

1/256

6.2302e−6

1.1695

1/512

2.7439e−6

1.1832

1/1024

1.2019e−6

1.1908

1/256

1/64

3.5032e−5

1/128

1.5846e−5

1.1446

1/256

7.0391e−6

1.1706

1/512

3.0982e−6

1.1839

1/1024

1.3567e−6

1.1913