in this paper, we present a new computational technique for solving nonlinear fredholm integral equations of the second kind. this proposed method is based on galerkin method and is computationally very attractive. moreover, for reducing the operations in comparing similar works, we design our algorithm based on transformations of orthogonal polynomials in approximation coefficients calculating...

in this article, a numerical method based on  improvement of block-pulse functions (ibpfs) is discussed for solving the system of linear volterra and fredholm integral equations. by using ibpfs and their operational matrix of integration, such systems can be reduced to a linear system of algebraic equations. an efficient error estimation and associated theorems for the proposed method are also ...

We demonstrate that for the sine-Gordon theory at the free fermion point, the 2point correlation functions of the fields exp(iαΦ) for 0 < α < 1 can be parameterized in terms of a solution to a sinh-Gordon-like equation. This result is derived by summing over intermediate multiparticle states and using the form factors to express this as a Fredholm determinant. The proof of the differential equa...

April, 2005 Abstract. A model with wealth accumulation subject to i.i.d. random shocks is examined. The transfer function shows what kt+1 wealth at t+ 1 would be, given kt, with no shock. It has a positive slope, but indeterminate concavity/convexity. The stationary distribution satis…es a Fredholm integral equation and can be examined by direct analysis of the stochastic process or via the Fre...

A direct method for determining powder diffraction data at specific depths from angle-dependent diffraction data is described. The method is non-destructive and only traditional data collections, where the angle of incidence is varied, are required. These angle-dependent spectra are transformed to give diffraction data arising from different depths, which may then be exploited using any convent...

In this paper we analyze a discrete time single server queue where the service time equals one slot The numbers of arrivals in each slot are assumed to be independent and identically distributed random variables The service process is interrupted by a semi Markov process namely in certain states the server is available for service while the server is not available in other states We analyze bot...