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Theory and Modern Applications

Table 1 L ∞ , RMS, and L 2 errors of Example 1 at different times t and for different constants

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

t

c 3 =1

c 3 =3

L ∞

RMS

L 2

L ∞

RMS

L 2

0.2

5.659E−06

6.500E−06

1.578E−05

1.362E−07

3.685E−08

1.801E−05

0.5

6.306E−06

7.278E−06

1.547E−05

1.581E−07

4.278E−08

1.800E−05

1.0

7.457E−06

8.691E−06

1.489E−05

2.026E−07

5.485E−07

1.798E−05

3.0

1.175E−05

1.471E−05

1.165E−05

5.432E−07

1.472E−07

1.786E−05

5.0

1.175E−05

1.705E−05

7.666E−06

1.422E−06

3.870E−07

1.753E−05