Theory and Modern Applications
Table 1 The maximum absolute error in our method and in [13] corresponding to Problem 1
From: On the approximation of time-fractional telegraph equations using localized kernel-based method
|  | M | \(L_{\infty }\) error | E | ε | κ | CPU time (s) |
|---|---|---|---|---|---|---|
α = 0.8, N = 30, n = 5 | 5 | 4.7135 | 7.2328 | 0.8 | 1.0508e+012 | 0.136899 |
7 | 0.2062 | 5.9685 | 0.8 | 1.0508e+012 | 0.140582 | |
10 | 0.0025 | 4.4187 | 0.8 | 1.0508e+012 | 0.139019 | |
25 | 0.0019 | 0.9164 | 0.8 | 1.0508e+012 | 0.165614 | |
30 | 3.9156e−004 | 0.5373 | 0.8 | 1.0508e+012 | 0.188401 | |
50 | 1.7714e−004 | 0.0625 | 0.8 | 1.0508e+012 | 0.352443 | |
70 | 1.6868e−004 | 0.0072 | 0.8 | 1.0508e+012 | 0.789112 | |
90 | 1.6856e−004 | 8.1825e−004 | 0.8 | 1.0508e+012 | 1.967992 | |
[13] 5.60e−005 |  |  |  |  |  |  |
α = 0.96, N = 50, n = 7 | 5 | 6.0719 | 7.2328 | 3 | 1.0041e+012 | 0.136641 |
7 | 0.2656 | 5.9685 | 3 | 1.0041e+012 | 0.142100 | |
10 | 0.0034 | 4.4187 | 3 | 1.0041e+012 | 0.146196 | |
25 | 0.0023 | 0.9164 | 3 | 1.0041e+012 | 0.207502 | |
30 | 6.2477e−004 | 0.5373 | 3 | 1.0041e+012 | 0.249881 | |
50 | 1.1877e−004 | 0.0625 | 3 | 1.0041e+012 | 0.648773 | |
70 | 1.1406e−004 | 0.0072 | 3 | 1.0041e+012 | 1.786508 | |
90 | 1.1400e−004 | 8.1825e−004 | 3 | 1.0041e+012 | 5.400089 | |
[13] 2.10e−004 |  |  |  |  |  |  |