Table 1 The error estimation between the exact and regularized source functions for \(\alpha \in \{0.1, 0.3, 0.5, 0.7, 0.9\}\) and \(\mathrm{x} \in (0,\pi )\)
α | M = N = 50, N(k)=10, n = 5, c = 1, χ = 3/4 | |||
|---|---|---|---|---|
ε | 0.1 | 0.01 | 0.001 | |
0.1 | 0.625292032114638 | 0.087100745983566 | 2.43525380437e − 04 | |
0.3 | 0.421470519953221 | 0.001482709063832 | 1.27369718370e − 04 | |
0.5 | 0.013836342900140 | 0.001320217219321 | 1.44739318526e − 04 | |
0.7 | 0.030298174314198 | 0.002973010099701 | 3.39046203147e − 04 | |
0.9 | 0.16883894823ee − 04 | 0.015674145530483 | 8.98583008912e − 04 | |