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 | Â | Â | Â | Â | |
\(2^{ - 6}\) | 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] | Â | Â | Â | Â | Â |
\(2^{ - 6}\) | 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 |