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Theory and Modern Applications

Table 3 L ∞ , RMS, and L 2 errors of Example 3 at different times t and for different constants

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

t

a = 0.5, c 3 =1

a = 1.5, c 3 =1

L ∞

RMS

L 2

L ∞

RMS

L 2

0.2

2.412E−06

3.045E−06

7.903E−07

2.105E−05

5.726E−03

7.054E−03

0.5

2.227E−06

2.802E−06

7.225E−07

1.736E−05

5.340E−03

6.210E−03

1.0

1.936E−06

2.425E−06

6.193E−07

1.103E−05

3.055E−03

3.335E−03

3.0

1.039E−06

1.285E−06

3.196E−07

6.243E−05

3.717E−05

3.767E−05

5.0

5.228E−07

6.425E−07

1.577E−07

6.174E−07

3.750E−07

3.760E−07