Research Article
The Analysis of Fractional-Order System Delay Differential Equations Using a Numerical Method
Table 3
Comparison at different fractional-order of
on the basis of error for example 2.
| | | | | | |
| 0.1 | 0.01 | 0.0001 | 0.00009999986375 | 1.3625E-10 | 8.2E-4 | 0.02 | 0.0004 | 0.0003999998553 | 1.447E-10 | 2.5E-3 | 0.03 | 0.0009 | 0.0008999998624 | 1.376E-10 | 4.7E-3 | 0.04 | 0.0016 | 0.001599999883 | 1.17E-10 | 7.3E-3 | 0.05 | 0.0025 | 0.002499999813 | 1.87E-10 | 1.0E-2 |
| 0.2 | 0.01 | 0.0001 | 0.0001000000111 | 1.11E-11 | 4.4E-4 | 0.02 | 0.0004 | 0.0004000001035 | 1.035E-10 | 1.4E-3 | 0.03 | 0.0009 | 0.0008999999845 | 1.55E-11 | 2.7E-3 | 0.04 | 0.0016 | 0.001600000057 | 5.7E-11 | 4.4E-3 | 0.05 | 0.0025 | 0.002500000022 | 2.2E-11 | 6.1E-3 |
| 0.3 | 0.01 | 0.0001 | 0.0001000001798 | 1.798E-10 | 2.1E-4 | 0.02 | 0.0004 | 0.0004000002303 | 2.303E-10 | 7.1E-4 | 0.03 | 0.0009 | 0.0009000001717 | 1.717E-10 | 1.4E-3 | 0.04 | 0.0016 | 0.001600000106 | 1.06E-10 | 2.4E-3 | 0.05 | 0.0025 | 0.002500000136 | 1.36E-10 | 3.5E-3 |
| 0.4 | 0.01 | 0.0001 | 0.0001000000189 | 1.89E-11 | 8.1E-5 | 0.02 | 0.0004 | 0.0003999999502 | 4.98E-11 | 2.9E-4 | 0.03 | 0.0009 | 0.0008999998916 | 1.084E-10 | 6.1E-4 | 0.04 | 0.0016 | 0.001599999941 | 5.9E-11 | 1.0E-3 | 0.05 | 0.0025 | 0.002499999997 | 3.000E-12 | 1.0E-3 |
| 0.5 | 0.01 | 0.0001 | 0.00009999988074 | 1.1926E-10 | 4.5E-6 | 0.02 | 0.0004 | 0.0003999997780 | 2.220E-10 | 2.6E-5 | 0.03 | 0.0009 | 0.0008999996906 | 3.094E-10 | 7.0E-5 | 0.04 | 0.0016 | 0.001599999717 | 3.83E-10 | 1.4E-4 | 0.05 | 0.0025 | 0.002499999657 | 3.43E-10 | 2.5E-4 |
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