in this paper, a new spectral-iterative method is employed to give approximate solutions of fractional logistic differential equation. this approach is based on combination of two different methods, i.e. the iterative method cite{35} and the spectral method. the method reduces the differential equation to systems of linear algebraic equations and then the resulting systems are solved by a numer...

Tau leptons play an important role in the physics program in ATLAS. They can be used not only in searches for new phenomena like the Higgs boson or Supersymmetry, or for electroweak measurements but also in detector related studies like the determination of the missing transverse energy scale. Identifying hadronically decaying tau leptons requires good understanding of the detector performance,...

Given a tau-function $\tau(t)$ of the BKP hierarchy satisfying $\tau(0)=1$, we discuss relation between its BKP-affine coordinates on isotropic Sato Grassmannian and BKP-wave function. Using this result, formulate type Kac-Schwarz operators for in terms coordinates. As an example, compute affine spin single Hurwitz numbers with completed cycles, find pair $(P,Q)$ $[P,Q]=1$. By doing this, obtai...

OBJECTIVE To assess the feasibility of a new method of measuring the attenuation coefficient in the liver, which offers less variability of results than the conventional method. METHODS The attenuation coefficient was evaluated on the basis of the following equation with sound field correction: [log(M0 (z)) - tau(z)]. In our system, the attenuation coefficient was also evaluated by the spectr...

The normal mode model is one of the most popular approaches for solving underwater sound propagation problems. Among other methods, finite difference method widely used in classic programs. In many recent studies, spectral has been discretization. It generally more accurate than method. However, requires that variables to be solved are continuous space, and traditional powerless a layered marin...

The stepwise coupled-mode model is a classic approach for solving range-dependent sound propagation problems. Existing programs have disadvantages such as high computational cost, weak adaptability to complex ocean environments and numerical instability. In this paper, new algorithm designed that uses an improved range normalization global matrix address dependence in environments. Due its accu...

the purpose of this study is to implement a new modification of the variational iteration method (h-s-vim), which is a combination of spectral method and variational iteration method for heat transfer problems with high nonlinearity order. the merit of this method is that it does not require the solution of any linear or nonlinear system of equations unlike spectral method. furthermore the prop...

The notion of the Planckian dissipation is extended to system Caroli-de Gennes-Matricon discrete energy levels in vortex core superconductors and fermionic superfluids. In this extension, Planck takes place when relaxation time $\tau$ comparable with quantum Heisenberg $t_H=\hbar/\Delta E$, where $\Delta E$ interlevel distance (the minigap). This type has two important physical consequences. Fi...