Numerical solution of the color superconductivity gap in a weak coupling constant [PDF]
We present the numerical solution of the full gap equation in a weak coupling constant $g$. It is found that the standard approximations to derive the gap equation to the leading order of coupling constant are essential for a secure numerical evaluation ...
B. Barrois+14 more
core +2 more sources
We present a new integral equation formulation of the polarizable continuum model (PCM) which allows one to treat in a single approach dielectrics of different nature: standard isotropic liquids, intrinsically anisotropic medialike liquid crystals and ...
É. Cancès, B. Mennucci, J. Tomasi
semanticscholar +1 more source
The Modified Integral Transform Method to Solve Heat Equation in a Cylindrical Coordinate [PDF]
This paper investigated a modified integral transform method used to solve heat equation in cylindrical coordinate, this modification method has been obtained based on integral transform (x-coordinate), we expand integral transform (x ...
Ahmed Jalal, Ahmed Jassim
doaj +1 more source
Solving a nonhomogeneous integral equation with the variable lower limit
An nonhomogeneous integral equation with a singular kernel is considered. A feature of the equation under study is the incompressibility of the integral operator.
M.T. Kosmakova+3 more
doaj +1 more source
General functional-integral Volterra equation
We research the one-valued solvability of the integral Volterra equation of general type with given initial condition. The theorem on the existence and uniqueness of continuous solution, which satisfies the Lipschitz condition on the considered interval ...
T. K. Yuldashev, Zh. A. Artykova
doaj +1 more source
On a second-order integro-differential equation with difference kernels and power nonlinearity [PDF]
The article studies a second-order integro-differential equation with difference kernels and power nonlinearity. A connection is established between this equation and an integral equation of the convolution type, which arises when describing the
S.N. Askhabov
doaj +1 more source
A Multilevel Iteration Method for Solving a Coupled Integral Equation Model in Image Restoration
The problem of out-of-focus image restoration can be modeled as an ill-posed integral equation, which can be regularized as a second kind of equation using the Tikhonov method.
Hongqi Yang, Bing Zhou
doaj +1 more source
The effect of near-zone preconditioning on electromagnetic integral equations of first and second kind [PDF]
The linear equation systems which arise from the discretization of surface integral equations are conveniently solved with iterative methods because of the possibility to employ fast integral methods like the Multilevel Fast Multipole Method.
O. Wiedenmann, T. F. Eibert
doaj +1 more source
Legendre wavelets technique for special Initial-Value problem for the quarter plain of heat transfer [PDF]
In this paper we have solved the heat transfer equation by means of the Volterra integral equation and Legendre Wavelets. Since, due to numerical facts, solution of the related partial differential equation is difficult, thus we have applied integral ...
Bahman Babayar-Razlighi, Mehdi Solaimani
doaj +1 more source
Application of DRBEM for 2D sine-Gordon equation
This research paper introduces an application of dual reciprocity boundary element method (DRBEM) for the solution of sine-Gordon equation (SGE) in two-space dimension. Initially, the time derivatives are expanded using central difference schemes.
Nagehan Alsoy-Akgün
doaj +1 more source