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Theory and Modern Applications

Table 4 Order of convergence for various values of M when \(\tau =0.01\), \(\gamma =0.9\) for Example 2

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)

8

4.460e−02

0.422

16

1.127e−02

1.9846

0.703

32

2.726e−03

2.0476

1.266

64

5.774e−04

2.2391

2.219