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Theory and Modern Applications

Table 2 L ∞ , RMS, and L 2 errors of Example 2 at different times t and for different constants

From: Analytic and numerical solutions of nonlinear diffusion equations via symmetry reductions

t

α = 1, c 1 =1

α = 2, c 1 =1

L ∞

RMS

L 2

L ∞

RMS

L 2

0.2

2.105E−05

3.633E−03

4.475E−03

4.217E−05

1.903E−03

2.300E−03

0.5

1.736E−05

3.821E−03

4.444E−03

2.699E−05

1.401E−03

1.548E−03

1.0

1.103E−05

2.464E−03

2.690E−03

9.083E−06

4.226E−03

4.383E−03

3.0

3.788E−05

2.245E−05

2.277E−05

8.711E−05

9.755E−05

9.768E−05

5.0

2.777E−07

1.818E−07

1.823E−07

5.871E−06

3.486E−06

3.486E−06