Sentence examples similar to implementing analytical solutions from inspiring English sources

An optimization problem is formulated that implements analytical solutions for unimorph and bimorph configurations using laminated plate theory, including the use of oppositely polarized piezoceramic patches.

Recommendations for implementing the analytical solution into particle tracking algorithms with or without a deterministic velocity component are included.

The formulation is derived by implementing an analytical solution of one-dimensional steady flow into a limit equilibrium-based effective stress analysis.

KS, SGG, and AF designed and implemented analytical tools.

In this study, we propose a novel model, which implements the analytical solution of Fick's second law of diffusion directly in the nonequilibrium advection/dispersion equation of solute transport in porous media.

Computational artifacts can still occur when time steps in particle-path tracking are too coarse, but if the numerical code is cautiously implemented, the analytical solution does not suffer from numerical dispersion.

The main purpose of this paper is to implement some convenient analytical solutions of the two-dimensional convection diffusion equations in a multilayered system, in the form of some relationships between average temperature fields, based on the thermal quadrupole formalism.

A lumped parameter model of monolith SCR reactors is developed which accounts for both inter- and intra-phase transport of reactants, and implements an approximate analytical solution for diffusion and reaction inside the pores of the monolith walls suitable for specific Rideal SCR kinetics.

These equations were solved numerically, while analytical solutions were implemented for analyzing the solid media.

The homotopy analysis method is implemented to give approximate and analytical solutions for the Klein-Gordon equation [14].

The proposed algorithm has been implemented and validated by comparison with analytical solutions.