Table 1 Comparing of numerical solutions/REFs using QLM-FSVLFs technique for \(\gamma =2,\sigma =1\), \(\lambda ,m=1\), \(K=6,10\), and various \(r\in [0,1]\).
r | QLM-FSVLFs | PLSM21 | ||||
|---|---|---|---|---|---|---|
\(h^{(6)}_{6,1}(r)\) | \({\mathbb {R}}_{6,1}^{(6)}(r)\) | \(h^{(6)}_{10,1}(r)\) | \({\mathbb {R}}_{10,1}^{(6)}(r)\) | Six-degree poly. | Error | |
0.0 | 1.16081984 | \(0.0000_{-0}\) | 1.160819819590251 | \(0.0000_{-0}\) | 1.16081983 | \(0.000_{-0}\) |
0.1 | 1.16029771 | \(8.4065_{-7}\) | 1.160297689006561 | \(2.0152_{-11}\) | 1.16029769 | \(6.725_{-8}\) |
0.2 | 1.15873032 | \(6.1609_{-7}\) | 1.158730315153458 | \(2.6535_{-13}\) | 1.15873032 | \(1.978_{-8}\) |
0.3 | 1.15611475 | \(2.2439_{-7}\) | 1.156114745851976 | \(1.3948_{-13}\) | 1.15611475 | \(4.388_{-8}\) |
0.4 | 1.15244604 | \(2.7801_{-9}\) | 1.152446041158113 | \(2.2824_{-13}\) | 1.15244604 | \(5.158_{-9}\) |
0.5 | 1.14771725 | \(3.4620_{-8}\) | 1.147717243637097 | \(1.8269_{-13}\) | 1.14771725 | \(2.308_{-8}\) |
0.6 | 1.14191934 | \(8.4479_{-10}\) | 1.141919336227521 | \(9.1822_{-14}\) | 1.14191934 | \(2.141_{-9}\) |
0.7 | 1.13504119 | \(1.4206_{-8}\) | 1.135041187162281 | \(1.9870_{-14}\) | 1.13504119 | \(4.642_{-8}\) |
0.8 | 1.12706948 | \(4.4394_{-9}\) | 1.127069481241230 | \(8.9165_{-15}\) | 1.12706949 | \(2.416_{-8}\) |
0.9 | 1.11798864 | \(3.4191_{-9}\) | 1.117988636563056 | \(7.0406_{-15}\) | 1.11798864 | \(8.311_{-8}\) |
1.0 | 1.10778071 | \(6.4787_{-9}\) | 1.107780705616379 | \(4.3711_{-14}\) | 1.10778071 | \(4.629_{-9}\) |
