Sentence examples for using the integral equation from inspiring English sources

The problem is formulated by using the integral equation approach.

The PES scans were performed using various combinations of DFT/coupled-cluster methods and basis sets, and the effect of bulk solvent was examined by using the integral equation formalism of the polarizable continuum model (IEF PCM).

The paper closes with a discussion of additional possibilities for using the integral equation approach used in this paper to assess other characteristics of acoustic wave turbulent flame interactions.

The scattering of a transient spherical wave from a thin rigid plate is investigated both theoretically and experimentally by using the integral equation derived from the normally differentiated Kirchhoff formula.

The conformational landscape of the N-protonated form of adrenaline (epinephrine in the U.S). has been considered at both the B3LYP/6-31G* B3LYP/6-31G*** levels, with full geometry optimizandon 6-311++G** 6-311++G**in aqueous solevels, using the integral equation formalism for the polarizable continuum model (IEF-PCM).

In this section we prove an existence and uniqueness result for the Cauchy-type problem 28-300) using the integral Equation (36).

In this paper, we present a systemic study of some families of multiple Carlitz's type -Bernoulli numbers and polynomials by using the integral equations of -adic -integrals on.

The problem is solved by using the integral transform, singular integral equation methods and the theory of residues.

A theoretical model is developed using the integral boundary layer equations and a two-phase surfactant adsorption isotherm which divides the bubble into an upper boundary layer region where surfactant adsorbs, and a lower wake region from where it desorbs.

It is designed to calculate train state as accurate as possible by using the integral formula of dynamic equation.

It is very hard to solve the elasticity problems by using the integral constitutive relation in equation (1).