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Table 11 Comparison of the performance on the basis of absolute values of constitutional equations of problem 6

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
\(f_{1} ({\mathbf{t}})\) \(f_{2} ({\mathbf{t}})\) \(f_{3} ({\mathbf{t}})\) \(f_{4} ({\mathbf{t}})\) \(f_{5} ({\mathbf{t}})\) \(f_{1} ({\mathbf{t}})\) \(f_{2} ({\mathbf{t}})\) \(f_{3} ({\mathbf{t}})\) \(f_{4} ({\mathbf{t}})\) \(f_{5} ({\mathbf{t}})\)
GA-1 1.9E−06 3.0E−05 2.3E−05 3.3E−05 6.0E−05 GA-SQP-1 1.1E−16 0.0E+00 0.0E+00 0.0E+00 1.1E−16
GA-2 2.9E−05 1.2E−05 3.2E−05 1.8E−05 1.3E−05 GA-SQP-2 2.2E−16 0.0E+00 0.0E+00 0.0E+00 1.1E−16
GA-3 1.6E−03 4.2E−04 2.8E−03 1.8E−03 2.1E−03 GA-SQP-3 0.0E+00 2.2E−16 4.4E−16 2.2E−16 0.0E+00
GA-4 4.3E−04 4.8E−05 4.4E−04 2.0E−03 2.0E−03 GA-SQP-4 0.0E+00 0.0E+00 0.0E+00 2.2E−16 0.0E+00
GA-5 8.4E−06 7.0E−06 1.5E−06 1.1E−05 3.1E−05 GA-SQP-5 0.0E+00 2.2E−16 0.0E+00 0.0E+00 0.0E+00
GA-6 2.8E−05 1.8E−05 4.4E−05 2.2E−05 1.1E−04 GA-SQP-6 0.0E+00 2.2E−16 0.0E+00 0.0E+00 0.0E+00
GA-7 6.2E−04 1.1E−04 4.2E−04 3.6E−04 9.8E−04 GA-SQP-7 0.0E+00 2.2E−16 0.0E+00 0.0E+00 0.0E+00
GA-8 5.3E−05 5.6E−04 9.0E−04 1.2E−03 2.4E−03 GA-SQP-8 1.1E−16 0.0E+00 0.0E+00 0.0E+00 0.0E+00
GA-9 6.1E−05 6.4E−06 1.4E−05 4.4E−05 4.4E−06 GA-SQP-9 0.0E+00 0.0E+00 0.0E+00 1.1E−16 1.1E−16
GA-10 2.9E−04 2.6E−04 2.7E−04 1.6E−04 4.7E−04 GA-SQP-10 2.2E−16 0.0E+00 0.0E+00 0.0E+00 0.0E+00
GA-11 1.5E−03 5.4E−04 1.8E−04 8.4E−04 1.1E−03 GA-SQP-11 0.0E+00 0.0E+00 0.0E+00 1.1E−16 0.0E+00
GA -12 1.1E−04 3.4E−04 5.5E−04 6.9E−04 1.9E−03 GA-SQP-12 0.0E+00 0.0E+00 0.0E+00 0.0E+00 1.1E−16