Theory and Modern Applications
Table 1 Functional value of \(J(\phi ^{\delta }_{n},f^{\delta }_{n})\), errors \(\operatorname{err}(\phi ^{\delta }_{n},\phi ^{*})\) and \(\operatorname{err}(f^{\delta }_{n},f^{*})\) by the primary iteration scheme; “\(J^{1}\)”, “err1” represent the results of the alternate iteration scheme
n | \(J(\phi ^{\delta }_{n},f^{\delta }_{n})\) | \(J^{1}(\phi ^{\delta }_{n},f^{\delta }_{n})\) | \(\operatorname{err}(\phi ^{\delta }_{n},\phi ^{*})\) | \(\operatorname{err}^{1}(\phi ^{\delta }_{n},\phi ^{*})\) | \(\operatorname{err}(f^{\delta }_{n},f^{*})\) | \(\operatorname{err}^{1}(f^{\delta }_{n},f^{*})\) |
|---|---|---|---|---|---|---|
85 | 5.3832E−01 | 1.5323E−02 | 1.0866 | 5.3221E−01 | 1.4455 | 1.0483 |
87 | 5.2923E−01 | 1.3229E−02 | 1.0254 | 3.1208E−01 | 1.2833 | 8.0214E−01 |
89 | 5.0202E−01 | 1.2026E−02 | 1.0086 | 1.9327E−01 | 1.2312 | 5.0118E−01 |
91 | 4.8282E−01 | 1.1224E−02 | 9.7452E−01 | 8.0323E−02 | 1.1955 | 2.0543E−01 |
93 | 4.6211E−01 | 1.0981E−02 | 9.4924E−01 | 3.8345E−02 | 1.1523 | 1.0214E−01 |
95 | 4.5886E−01 | 1.0735E−02 | 9.3229E−01 | 1.4148E−02 | 1.1101 | 5.1183E−02 |
97 | 4.4553E−01 | 1.0498E−02 | 9.1223E−01 | 5.8643E−03 | 1.0775 | 2.9752E−02 |
99 | 4.2814E−01 | 8.2701E−03 | 8.8426E−01 | 4.8327E−03 | 1.0291 | 2.7538E−02 |
100 | 4.0755E−01 | 7.5523E−03 | 8.7208E−01 | 4.0462E−03 | 9.8123E−01 | 2.5147E−02 |
101 | 3.9613E−01 | 6.1331E−03 | 8.6562E−01 | 7.2483E−03 | 9.7994E−01 | 4.1346E−02 |