Sentence examples for the complete set of equations from inspiring English sources

In an earlier paper [1], it had been shown that PDEs can be modeled by an electrical equivalent circuit generated from the complete set of equations arising from the Finite Element Method (FEM).

Reduced chemical kinetic models are often used in place of a detailed mechanism because of the computational expense of solving the complete set of equations describing the reacting system.

For all the fluid structure interaction problems reported in this study the complete set of equations governing the dynamics of the flow and the structure are simultaneously advanced in time using a predictor corrector strategy.

Also presented is an approximate model for the multicomponent spray reactor which gives good results for small droplets and requires only a fraction of the effort needed to solve the complete set of equations.

In order to examine the dynamic structure of plasma sheath and investigate the influence of plasma parameters on the sheath structure, the complete set of equations are numerically solved using a second-order finite difference scheme in space and a first-order finite difference scheme in time.

Formally, the problem under consideration can be stated as follows (note that the complete set of equations is referred to as (5)): begin{array}{*{20}l} min. & {sum_{lin{mathcal{L}}} left(c_{l} left|sum_{iin{mathcal{S}}_{l}} rho_{i} right|_{0} + sum_{iin{mathcal{S}}_{l}} left(e_{i}| rho_{i} |_{0} + f_{i}(rho_{i})right)right)} end{array} (5a).

Diffusion and reaction inside the catalyst particles was rigorously simulated, solving the complete set of continuity equations and Stefan-Maxwell equations for 3ulticomponent diffusion by orthogonal collocation.

The complete set of the equations, i.e., 125 equations, are solved using the standard matrix analogy.

The gas phase and liquid phase are coupled via interfacial conservation equations, and the complete set of governing equations is solved iteratively.

The system of equations comprising of equilibrium equations, stress resultant-displacement relations, along with boundary conditions constitutes the complete set of governing equations and also a completely defined and properly posed boundary value problem (BVP).

Moreover, the computational cost is reduced by solving the complete set of governing equations on the primal grid while only solving the magnetic induction equation on the polygonal dual mesh.