Skip to main content

Advertisement

Table 3 Comparison of the performance on the basis of absolute values of constitutional equations of problem 1

From: Memetic computing through bio-inspired heuristics integration with sequential quadratic programming for nonlinear systems arising in different physical models

Method Absolute values Method Absolute values
\(f_{1} ({\mathbf{t}})\) \(f_{2} ({\mathbf{t}})\) \(f_{3} ({\mathbf{t}})\) \(f_{4} ({\mathbf{t}})\) \(f_{1} ({\mathbf{t}})\) \(f_{2} ({\mathbf{t}})\) \(f_{3} ({\mathbf{t}})\) \(f_{4} ({\mathbf{t}})\)
GA-1 1.81E−04 2.85E−05 3.00E−05 1.96E−04 GA-SQP-1 7.48E−09 2.68E−09 4.22E−09 8.44E−09
GA-2 6.14E−03 8.59E−04 8.89E−04 6.96E−03 GA-SQP-2 7.48E−09 2.68E−09 4.22E−09 8.43E−09
GA-3 3.19E−02 8.07E−03 1.57E−02 3.83E−02 GA-SQP-3 7.48E−09 2.68E−09 4.22E−09 8.43E−09
GA-4 3.48E−03 6.64E−05 2.22E−03 4.21E−03 GA-SQP-4 7.48E−09 2.68E−09 4.22E−09 8.43E−09
GA-5 2.74E−03 6.52E−04 6.89E−04 2.88E−03 GA-SQP-5 7.48E−09 2.68E−09 4.22E−09 8.43E−09
GA-6 2.16E−05 6.80E−06 1.46E−05 2.88E−05 GA-SQP-6 7.48E−09 2.68E−09 4.22E−09 8.43E−09
GA-7 1.02E−02 3.92E−03 3.01E−03 9.15E−03 GA-SQP-7 7.48E−09 2.68E−09 4.22E−09 8.43E−09
GA-8 1.84E−02 5.89E−03 1.00E−02 1.83E−02 GA-SQP-8 5.42E−09 3.58E−10 3.06E−09 9.85E−09
GA-9 7.89E−03 1.73E−03 3.00E−03 7.74E−03 GA-SQP-9 7.48E−09 2.68E−09 4.22E−09 8.43E−09
GA-10 8.50E−05 7.18E−05 7.49E−05 6.08E−05 GA-SQP-10 7.48E−09 2.68E−09 4.22E−09 8.43E−09
GA-11 4.72E−02 5.69E−03 1.38E−02 5.16E−02 GA-SQP-11 7.48E−09 2.68E−09 4.22E−09 8.44E−09
GA -12 6.53E−03 3.53E−04 6.19E−04 6.54E−03 GA-SQP-12 7.48E−09 2.68E−09 4.22E−09 8.43E−09