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Theory and Modern Applications

Table 6 Error norms of Example 5.3 at \(J=4\), \(\tau = 0.01\), \(\theta = 1\)

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

γ

t = 0.5

t = 1

Spectral radius

\(E_{\infty }\)

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

\(E_{\infty }\)

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

0.2

9.5445e − 05

4.5257e − 05

3.3886e − 04

1.6066e − 04

0.0053

0.4

1.0763e − 04

5.1031e − 05

3.3842e − 04

1.6043e − 04

0.0098

0.6

1.0743e − 04

5.0906e − 05

3.0342e − 04

1.4377e − 04

0.0126

0.8

7.9328e − 05

3.7517e − 05

2.0499e − 04

9.6982e − 05

0.0108