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Theory and Modern Applications

Table 2 Order of convergence for various values of M when \(\tau =0.001\), \(\gamma =0.8\) for Example 1

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

M

\(L_{\infty }\) Norm

OC

CPU Time (s)

2

9.253e−02

35.38

4

1.679e−02

2.462

43.20

8

4.063e−03

2.047

69.92

16

1.107e−03

1.876

155.25

32

3.810e−04

1.539

423.86