Research Article
Design of Mayer Wavelet Neural Networks for Solving Functional Nonlinear Singular Differential Equation
Table 2
Statistical outcomes of each problems based on the singular NFDEs.
| | X | Problem I | Problem II | Problem III | | Min | Median | SIR | Min | Median | SIR | Min | Median | SIR |
| | 0 | 1.45E-08 | 2.70E-06 | 5.40E-05 | 1.60E-10 | 3.43E-06 | 2.57E-05 | 0 | 2.43E-06 | 1.01E-05 | | 0.05 | 1.16E-08 | 3.54E-06 | 7.53E-05 | 1.34E-07 | 3.82E-06 | 3.15E-05 | 1.91E-08 | 4.06E-06 | 1.31E-05 | | 0.1 | 9.78E-09 | 3.66E-06 | 1.12E-04 | 6.79E-08 | 6.64E-06 | 6.03E-05 | 9.85E-08 | 5.82E-06 | 1.99E-05 | | 0.15 | 8.63E-09 | 3.80E-06 | 1.61E-04 | 1.65E-07 | 1.63E-05 | 1.20E-04 | 9.11E-08 | 6.02E-06 | 3.24E-05 | | 0.2 | 7.89E-09 | 3.57E-06 | 2.29E-04 | 8.35E-07 | 3.17E-05 | 1.88E-04 | 1.04E-07 | 6.85E-06 | 4.94E-05 | | 0.25 | 7.29E-09 | 4.09E-06 | 2.90E-04 | 6.10E-07 | 5.53E-05 | 2.67E-04 | 2.15E-08 | 8.22E-06 | 6.46E-05 | | 0.3 | 6.60E-09 | 5.28E-06 | 3.45E-04 | 1.09E-06 | 9.67E-05 | 3.25E-04 | 1.35E-08 | 8.69E-06 | 7.89E-05 | | 0.35 | 5.64E-09 | 6.30E-06 | 3.92E-04 | 2.61E-06 | 1.41E-04 | 3.57E-04 | 1.33E-08 | 1.02E-05 | 8.30E-05 | | 0.4 | 4.29E-09 | 6.22E-06 | 4.27E-04 | 5.42E-06 | 1.86E-04 | 4.08E-04 | 1.95E-07 | 1.09E-05 | 8.93E-05 | | 0.45 | 2.45E-09 | 6.16E-06 | 4.50E-04 | 9.71E-06 | 2.49E-04 | 5.53E-04 | 1.32E-07 | 1.22E-05 | 9.52E-05 | | 0.5 | 9.58E-11 | 6.53E-06 | 4.60E-04 | 7.36E-06 | 2.81E-04 | 6.23E-04 | 1.02E-07 | 1.39E-05 | 9.61E-05 | | 0.55 | 2.76E-09 | 6.70E-06 | 4.56E-04 | 1.15E-06 | 3.39E-04 | 7.45E-04 | 2.17E-07 | 1.56E-05 | 9.36E-05 | | 0.6 | 6.06E-09 | 6.69E-06 | 4.39E-04 | 9.57E-07 | 3.98E-04 | 8.67E-04 | 1.41E-06 | 1.72E-05 | 1.11E-04 | | 0.65 | 9.72E-09 | 6.50E-06 | 4.24E-04 | 3.29E-07 | 4.56E-04 | 9.69E-04 | 8.72E-08 | 1.82E-05 | 1.24E-04 | | 0.7 | 1.36E-08 | 6.17E-06 | 4.05E-04 | 5.11E-07 | 4.91E-04 | 1.06E-03 | 1.12E-06 | 1.93E-05 | 1.22E-04 | | 0.75 | 1.76E-08 | 5.71E-06 | 3.80E-04 | 2.02E-07 | 5.39E-04 | 1.12E-03 | 3.01E-08 | 2.01E-05 | 1.17E-04 | | 0.8 | 3.26E-09 | 4.85E-06 | 3.49E-04 | 2.12E-06 | 5.61E-04 | 1.21E-03 | 8.44E-07 | 2.07E-05 | 1.10E-04 | | 0.85 | 2.50E-08 | 4.93E-06 | 3.15E-04 | 2.35E-06 | 5.88E-04 | 1.39E-03 | 1.49E-06 | 2.13E-05 | 1.02E-04 | | 0.9 | 2.81E-08 | 4.61E-06 | 2.80E-04 | 4.45E-07 | 5.87E-04 | 1.49E-03 | 1.89E-06 | 1.95E-05 | 9.40E-05 | | 0.95 | 3.06E-08 | 5.02E-06 | 2.55E-04 | 1.31E-06 | 5.63E-04 | 1.58E-03 | 2.06E-06 | 1.71E-05 | 8.60E-05 | | 1 | 3.22E-08 | 5.03E-06 | 2.33E-04 | 1.74E-06 | 5.57E-04 | 1.66E-03 | 1.90E-06 | 1.76E-05 | 8.20E-05 |
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