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Theory and Modern Applications

Table 3 Error norms of Example 5.2 at \(J=4\), \(\tau = 0.001\), \(\theta = 1\)

From: Wavelet based algorithm for numerical study of \((1+2)\)-dimensional time fractional diffusion problems

γ

t = 0.01

t = 0.1

Spectral radius

\(E_{\infty }\)

\(E_{\mathrm{rms}}\)

\(E_{\infty }\)

\(E_{\mathrm{rms}}\)

0.1

1.7327e − 03

9.5471e − 04

2.2000e − 02

1.2113e − 02

0.0043

0.3

1.6562e − 03

9.1517e − 04

2.3715e − 02

1.3060e − 02

0.0107

0.5

1.2383e − 03

6.9353e − 04

2.4459e − 02

1.3481e − 02

0.0116

0.7

5.2069e − 04

2.9839e − 04

2.1145e − 02

1.1700e − 02

0.0054

0.9

1.1861e − 04

6.6477e − 05

8.6087e − 03

4.8368e − 03

0.0017