Sentence examples for by using the operational from inspiring English sources

By using the operational matrix of integration, we propose a new numerical method for linear fractional partial differential equation solving.

By using the operational matrix, the nonlinear fractional integro-differential equations are reduced to a system of algebraic equations which is solved through known numerical algorithms.

In this section we solve nonlinear singular boundary value problem of the form Eq. (1) with the mixed conditions Eq. (2) and Eq. (3) by using the operational matrix of derivative [27] based on orthonormal Bernoulli polynomials.

Therefore, it is also interesting to consider spectral tau methods for solving multi-term FDEs on the half line by using the operational matrix of fractional integration of modified Laguerre polynomials.

By using the operational matrices for basis functions, spectral methods reduce the solution of fractional differential and integral equations into a solution of systems of algebraic equations which produce highly accurate solutions for these equations [22, 23, 30, 32].

Antagonist potency values (pKB) were determined by using the operational model for apparent non surmountable compounds, or by applying Schild's analysis for compounds displaying surmountable profiles [41], [42].

Participants were interviewed by a Moldovan psychiatrist using the operational criteria of the DSM-IV two to twelve months after having returned to Moldova.

One approach is based on converting differential equations into integral equations through integration, approximating various signals involved in the equation by truncated orthogonal series, and using the operational matrix of integration, to eliminate the integral operations [17].

In order to examine how Min proficiency interacted with variant realizations, talkers were divided into two proficiency subgroups based on their self-rated seven-point Likert scale by using the median as an operational dividing point in order to facilitate analyses and maximize power.

By using the coupled system analysis code, the operational space for a low aspect ratio (LAR) tokamak reactor with a superconducting toroidal field (TF) coil is investigated with an aspect ratio in the range of 1.5 2.5.

And the CPLEX is used to solve the operational optimization model by using the optimization interface (OPTI) of the MATLAB toolbox.