From: Fourth-order fitted mesh scheme for semilinear singularly perturbed reaction–diffusion problems
\(\varepsilon \downarrow N \to\) | 32 | 64 | 128 | 256 | 512 |
---|---|---|---|---|---|
Our method | |||||
\(2^{ - 5}\) | 1.2025e−06 | 7.5262e−08 | 4.7055e−09 | 2.9409e−10 | 1.8195e−11 |
\(2^{ - 6}\) | 4.2806e−06 | 2.6824e−07 | 1.6776e−08 | 1.0487e−09 | 6.5420e−11 |
\(2^{ - 7}\) | 6.7000e−06 | 4.2429e−07 | 2.6515e−08 | 1.6583e−09 | 1.0359e−10 |
\(2^{ - 8}\) | 3.7483e−05 | 2.4697e−06 | 1.5760e−07 | 9.9397e−09 | 6.2393e−10 |
\(2^{ - 9}\) | 1.4848e−04 | 1.0348e−05 | 6.7338e−07 | 4.2784e−08 | 2.6937e−09 |
Results in [14] | |||||
\(2^{ - 5}\) | 2.3e−4 | 5.9e−5 | 1.5e−5 | 3.7e−6 | 9.2e−7 |
\(2^{ - 6}\) | 3.8e−4 | 9.5e−4 | 2.4e−5 | 6.2e−6 | 1.5e−6 |
\(2^{ - 7}\) | 6.4e−4 | 1.6e−4 | 4.0e−5 | 1.0e−5 | 2.5e−6 |
\(2^{ - 8}\) | 1.1e−3 | 2.4e−4 | 6.9e−5 | 1.7e−5 | 4.3e−6 |
\(2^{ - 9}\) | 1.9e−3 | 4.9e−4 | 1.2e−4 | 3.1e−5 | 7.6e−6 |