In this paper, Exchange and Correlation energies of boron nitride with the formula of B12N12 are calculated by using the DFT methods with STO-3G, 6-31G AND 6-311G basis sets. The optimized structure and electronic properties calculations for the studied molecule have been performed using Gaussian 09 program. A mathematical equation of second grade was exploited for the correlation and exchange ...

Integral equations for the spin-weighted spheroidal wave functions is given . For the prolate spheroidal wave function with m = 0, there exists the integral equation whose kernel is sin x x , and the sinc function kernel sin x x is of great mathematical significance. In the paper, we also extend the similar sinc function kernel sin x x to the case m 6= 0 and s 6= 0, which interestingly turn out...

Abstract: In this paper we revisit the derivation of boundary conditions for the Boltzmann Equation. The interaction between the wall atoms and the gas molecules within a thin surface layer is described by a kinetic equation introduced in [9] and used in [1]. This equation includes a Vlasov term and a linear molecule-phonon collision term and is coupled with the Boltzmann equation describing th...

in this work, time domain analysis is used to solve adler’s equation in order to obtain the required time, for an oscillator under external injection, reaching the steady-state condition. mathematical approach has been applied to fully describe the transient of frequency acquisition in injection-locked lc and ring oscillators considering their time-varying nature. then, the analysis is verified...

Most conventional law equation discovery systems such as BACON require experimental environments to acquire their necessary data. The mathematical techniques such as linear system identi cation and neural network tting presume the classes of equations to model given observed data sets. The study reported in this paper proposes a novel method to discover an admissible model equation from a given...

In the paper, a auxiliary equation expansion method and its a lgorithm is proposed by studying a second order nonlinear ordinary differential equation with a six-degree term.The method is applied to the generalized derivative Schrödinger equation .As a result,some new exact traveling wave solution are obtained which singular solutions,triangular periodic wave solution and Jacobian elliptic func...

This paper’s purpose is to provide a numerical scheme to approximate solutions of the nonlinear Klein-Gordon equation by applying the multiquadric quasi-interpolation scheme and the integrated radial basis function network scheme. Our scheme uses θ-weighted scheme for discretization of the temporal derivative and the integrated form of the multiquadric quasi-interpolation scheme for approximati...

In this paper, a new construction of exact solutions based on the improved generalized Riccati equation mapping method with modified Reimann-Luiviile fractional derivative and symbolic computation is proposed for seeking abundant solutions of the space-time fractional fifth-order nonlinear Sawada-Kotera equation. The proposed method is very simple, direct, effective and convenient for obtaining...

the excess accumulation of water in lung interstitial or alveolar is called pulmonary edema which is caused by factors that upset the normal starling balance in micro-circulation. pulmonary edema disturbs the alveolar gas exchanges which are normally regulated by the respiratory system. mathematical modelling of pulmonary edema may help to predict the lung conditions and the mechanisms involved...