Theory and Modern Applications
Table 1 2-scale relation and its derivatives
From: A subdivision-based approach for singularly perturbed boundary value problem
i | |||||
|---|---|---|---|---|---|
0 | ±1 | ±2 | ±3 | ±4 | |
ρ(i) | 1 | 0 | 0 | 0 | 0 |
\(\rho ^{\bullet }(i)\) | 0 | \(\pm \frac{9100}{4313}\) | \(\mp \frac{19{,}673}{25{,}878}\) | \(\pm \frac{1600}{12{,}939}\) | \(\pm \frac{128}{12{,}939}\) |
\(\rho ^{\bullet \bullet }(i)\) | \(-\frac{14{,}431}{4224}\) | \(\frac{4325}{2112}\) | \(-\frac{1575}{2816}\) | \(\frac{25}{132}\) | \(\frac{1}{33}\) |