Sentence examples for prototype equation from inspiring English sources

The main prototype equation here is the modified equation.

To this end, we derive shock width estimates for our 1D prototype equations, which, when combined with the stability restriction of the numerical scheme, provide a reliable mechanism for enlarging the original multiresolution stencil.

Construct the similarity measure CONN for the SOM prototypes (Equation (4)).   4.

As the pioneer in numerical methods for such equations, Akrivis et al. [5] numerically approximated the solution of a prototype ultraparabolic equation by applying a fixed-step backward Euler scheme and a second-order box-type finite difference method.

In order to design an appropriate prototype reactor, model equations for the rate of hydrogen sorption reactions are required.

This is a prototype for conservation equations that can develop discontinuities (also called shock waves) [1].

where we have taken into account the properties of the prototype filter (see Equations 14, 28, and 29) and the fact that it is real and, consequently, (G_{-k} = G_{k}^).

In this article we present a numerical investigation of a new one-dimensional prototype of the Boltzmann equation.

If, (1.7) is the prototype of nonlinear dynamic equations called Emden-Fowler neutral delay sublinear dynamic equation: (1.9).

Electrochemical impedance spectroscopy (EIS) was used to compare prototype performance to analytical equations.

In this paper we deal with the Cauchy problem associated to a class of nonlinear degenerate parabolic equations, whose prototype is the parabolic p-Laplacian (2