Theory and Modern Applications
Table 5 The comparison of absolute errors between CBSCM and our method when \(\pmb{p=2.53}\)
From: An exponential B-spline collocation method for the fractional sub-diffusion equation
x | M = 25, N = 625 | M = 50, N = 2,500 | ||
|---|---|---|---|---|
CBSCM | Our method | CBSCM | Our method | |
0.1 | 7.4297e-5 | 1.7521e-5 | 2.2881e-5 | 5.2238e-6 |
0.2 | 1.7128e-4 | 3.1447e-5 | 4.2725e-5 | 7.8796e-6 |
0.3 | 2.2488e-4 | 3.3028e-5 | 5.9053e-5 | 8.1580e-6 |
0.4 | 2.8563e-4 | 2.5425e-5 | 7.1249e-5 | 6.3822e-6 |
0.5 | 3.1076e-4 | 1.5134e-5 | 7.8544e-5 | 3.0497e-6 |
0.6 | 3.2060e-4 | 4.5617e-6 | 7.9982e-5 | 1.1163e-6 |
0.7 | 3.0518e-4 | 1.7614e-5 | 7.4401e-5 | 5.1068e-6 |
0.8 | 2.4201e-4 | 3.0270e-5 | 6.0392e-5 | 7.5532e-6 |
0.9 | 1.6825e-4 | 2.8820e-5 | 3.6264e-5 | 6.6400e-6 |