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Theory and Modern Applications

Table 5 The maximum errors when \(\tau =\frac{1}{64}\), \(h=\frac{1}{8}\) for Example 3

From: A collocation method based on cubic trigonometric B-splines for the numerical simulation of the time-fractional diffusion equation

γ

IDAS [23]

\(L_{1}\)-approximation [23]

Present Method

CPU Time (s)

0.4

0.9774769e−03

0.1812220e−02

0.959963e−03

0.230

0.5

0.1314691e−02

0.2103329e−02

0.908529e−03

0.239

0.6

0.1640956e−02

0.2363563e−02

0.803949e−03

0.220