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Theory and Modern Applications

Table 2 \(\pmb{H_{1}}\) -errors and convergence orders obtained for Example  1 with \(\pmb{\tau=\frac{1}{20{,}000}}\)

From: Generalized finite difference/spectral Galerkin approximations for the time-fractional telegraph equation

N

α  = 0.1

α  = 0.3

Error

Order

Error

Order

4

1.0825e–1

/.

1.0396e–1

/.

6

4.5200e–3

7.8328

4.4789e–3

7.7560

8

1.0330e–4

13.1346

1.0287e–4

13.1176

10

1.6362e–6

18.5768

1.6323e–6

18.5685

12

1.9192e–8

24.3834

1.9584e–8

24.2595