Theory and Modern Applications
Table 1 Comparison of absolute errors in Example 1
From: Numerical method and convergence order for second-order impulsive differential equations
n | \(\vert u(x) - u_{n}(x) \vert \) [13] | Presented method | ||||
|---|---|---|---|---|---|---|
\(\max \vert u - u_{n} \vert \) | C.R | \(\max \vert u' - u'_{n} \vert \) | C.R | \(\max \vert u'' - u''_{n} \vert \) | ||
33 | 3.426E−3 | 7.988E−5 |  | 3.381E−4 |  | 7.988E−5 |
129 | 8.562E−4 | 5.297E−6 |  | 2.252E−5 |  | 5.297E−6 |
200 | – | 4.563E−6 |  | 1.896E−5 |  | 4.563E−6 |
400 | – | 4.486E−7 | 3.3464 | 1.934E−6 | 3.2933 | 4.486E−7 |