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Theory and Modern Applications

Table 6 The maximum errors when \(\tau =\frac{1}{1024}\), \(h=\frac{1}{32}\) 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

0.1204014e−03

0.2110046e−03

0.616098e−04

415.454

0.5

0.9040628e−04

0.01107985e−03

0.602786e−04

387.603

0.6

0.2180338e−03

0.2259971e−03

0.573334e−04

369.890