From: On linear ODEs with a time singularity of the first kind and unsmooth inhomogeneity
h | Equidistant points | Gaussian points | |||||||
---|---|---|---|---|---|---|---|---|---|
Uniform | Mesh | Uniform | |||||||
| c | p |
| c | p |
| c | p | |
1/2 | 1.7e+00 | – | – | 1.2e+00 | – | – | 1.2e+00 | – | – |
1/4 | 1.2e+00 | 4.7e+00 | 0.50 | 8.6e–01 | 1.7e+00 | 0.50 | 8.6e–01 | 5.2e+00 | 0.50 |
1/8 | 8.3e–01 | 4.7e+00 | 0.50 | 6.1e–01 | 1.7e+00 | 0.50 | 6.1e–01 | 5.1e+00 | 0.50 |
1/16 | 5.8e–01 | 4.7e+00 | 0.50 | 4.3e–01 | 1.7e+00 | 0.50 | 4.3e–01 | 5.1e+00 | 0.50 |
1/32 | 4.1e–01 | 4.7e+00 | 0.50 | 3.0e–01 | 1.7e+00 | 0.50 | 3.0e–01 | 5.1e+00 | 0.50 |
1/64 | 2.9e–01 | 4.7e+00 | 0.50 | 2.1e–01 | 1.7e+00 | 0.50 | 2.1e–01 | 5.1e+00 | 0.50 |
1/128 | 2.1e–01 | 4.7e+00 | 0.50 | 1.5e–01 | 1.7e+00 | 0.50 | 1.5e–01 | 5.1e+00 | 0.50 |
1/256 | 1.5e–01 | 4.7e+00 | 0.50 | 1.1e–01 | 1.7e+00 | 0.50 | 1.1e–01 | 5.1e+00 | 0.50 |
1/512 | 1.0e–01 | 4.7e+00 | 0.50 | 7.6e–02 | 1.7e+00 | 0.50 | 7.6e–02 | 5.1e+00 | 0.50 |