Theory and Modern Applications
Table 2 The maximum absolute error, shape parameter, condition number and computational time corresponding to Problem 2 at \(t=1\)
From: On the approximation of time-fractional telegraph equations using localized kernel-based method
\(\alpha =\frac{2}{3}\), N = 45, n = 5 | M | \(L_{\infty }\) error | E | ε | κ | CPU time(s) |
|---|---|---|---|---|---|---|
| Â | 10 | 1.8374 | 4.4187 | 1.2 | 1.1509e+012 | 0.145084 |
| Â | 20 | 0.3122 | 1.5582 | 1.2 | 1.1509e+012 | 0.159080 |
| Â | 35 | 0.0373 | 0.3144 | 1.2 | 1.1509e+012 | 0.255237 |
| Â | 50 | 0.0075 | 0.0625 | 1.2 | 1.1509e+012 | 0.539619 |
|  | 70 | 4.1395e−004 | 0.0072 | 1.2 | 1.1509e+012 | 1.361986 |
|  | 90 | 6.0201e−005 | 8.1825e−004 | 1.2 | 1.1509e+012 | 4.342044 |