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Table 2 Comparison of maximum absolute errors for Example 2

From: Accelerated nonstandard finite difference method for singularly perturbed Burger-Huxley equations

\(\varepsilon \downarrow \,M/N \to\)

32/20

64/40

128/80

256/160

512/320

After extrapolation

    

\(2^{ - 6}\)

1.0956e−04

2.8034e−05

7.6248e−06

4.1959e−06

2.2851e−06

\(2^{ - 8}\)

1.5301e−04

4.9218e−05

1.3827e−05

3.6543e−06

9.3878e−07

\(2^{ - 10}\)

2.0315e−04

9.4930e−05

3.6697e−05

1.1291e−05

3.0711e−06

\(2^{ - 12}\)

1.9354e−04

8.7202e−05

5.8753e−05

3.1369e−05

1.1375e−05

\(2^{ - 18}\)

2.7286e−04

7.2496e−05

1.8396e−05

4.4949e−06

2.6628e−06

Results in [6]

     

\(2^{ - 6}\)

3.8767e−02

1.8983e−02

9.6122e−03

5.0867e−03

2.6211e−03

\(2^{ - 8}\)

4.4450e−02

2.0109e−02

1.0519e−02

5.9653e−02

3.1896e−03

\(2^{ - 10}\)

8.3339e−02

6.6120e−02

4.0769e−02

1.9284e−02

9.1775e−03

\(2^{ - 12}\)

1.8762e−01

8.4106e−02

5.7234e−02

3.309e−02

1.9041e−02

\(2^{ - 18}\)

2.8299e−01

1.7036e−01

1.1805e−01

7.4251e−02

4.1879e−02