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We aim to use the numerical techniques introduced in Sect. 3 to compute slow manifolds and associated canard orbits, and subsequently examine the local and global influence of their geometry on the dynamics of the Hodgkin–Huxley model (32).
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This system of linear equations has been solved using the numerical technique successive over relaxation (SOR) method.
By using the numerical technique, the critical follower loads are sought.
The accuracy of the solution obtained using the numerical technique is demonstrated by comparing the numerical values with those obtained from experiments and with other analytical solutions.
The optimization process proposed here has used the numerical technique results, e.g., FEM over the real experimental results in the optimization process and saved time and resources for designing of an optimized MR damper.
Few other techniques use the numerical values of the features coupled to statistical classification methods.
Packages that use the same numerical techniques are expected to yield the same results, but results can differ if different numerical techniques are used.
The roughness parameters are empirically calibrated using the numerical optimization techniques.
The effective material properties obtained using the numerical homogenization techniques were compared with different analytical methods and good agreement was achieved.
The maximum oil yield obtained using the numerical optimization techniques show that 49.2% were predicted by the RSM at the optimum conditions of; 60 °C temperature, extraction time 60 min, 150 μm seed particle size, 150 ml solvent volume and 49.8% by ANN-GA at extraction temperature 40 °C, extraction time 40 min, 200 μm seed particle size, 100 ml solvent volume, respectively.
Using the numerical interpolation technique to approximate the implicit nonlinear function, we present a composite control framework consists of a nonlinear inversion and linear control.
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