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Advances in Continuous and Discrete Models

Theory and Modern Applications

Table 1 The maximum absolute error \(\pmb{E_{\infty}}\) between the numerical solution and the exact solution, at time \(\pmb{t=1.0}\) , \(\pmb{\alpha=0.5}\)

From: Sturm-Liouville problem and numerical method of fractional diffusion equation on fractals

Ï„

h

β  = 0.4

β  = 0.6

β  = 0.8

0.1

0.1

5.2E-2

8.3E-2

1.2E-1

0.05

0.05

2.6E-2

4.3E-2

6.5E-2

0.025

0.025

1.3E-2

2.2E-2

3.3E-2

0.0125

0.0125

6.5E-3

1.1E-2

1.7E-2

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