It is worth noting the R K method is quite accurate, stable and easy to implement in comparison to other methods available to solve the differential equations.
One of the best things in this algorithm is that it is easier to understand and to implement in comparison to other algorithms and their variants.
Furthermore, with the aid of the abundant models and methods developed in classical hydrodynamics, phonon hydrodynamics becomes much easier to implement in comparison to the current popular approaches based on the first-principle method and kinetic theories involving complicated computations.
It is also relatively easy to implement in comparison to other super-resolution techniques.
The averaged percentage reduction of quality loss (PRQL) of 3.31% was obtained as optimum condition was implemented, in comparison with the starting condition (the largest reacting temperature, steam-to-carbonate ratio, and N2 volume flow rate).
So, having the equations for stationary points for all states provides a means to verify the implemented model in comparison to the model description.
Furthermore, it was predicted that if individuals make choices about contributions taking into account the certainty of punishment, then contributions should be higher when the expectation of punishment was met (i.e. implemented punishment) in comparison to when the punishment was expected but did not occur (i.e. non-implemented punishment).
For classification performance, 12 datasets consisting of binary and non-binary features are empirically implemented in comparison with Support Vector Machines (SVM) using k-fold cross validation.
Finally, the numerical experiments, including a nonlinear Schrödinger equation, a sine-Gordon equation, a nonlinear Klein Gordon equation, and the well-known Fermi Pasta Ulam problem, are implemented in comparison with the corresponding symplectic RK methods and the prominent numerical results definitely coincide with the theories and conclusions made in this paper.
Finally, lower BIS-anxiety should lead to high levels of free riding (lower cooperation) under conditions of non-implemented punishment in comparison to implemented punishment, whilst higher FFFS should lead to increased contributions under implemented conditions.
