In this paper, we propose a new approach to solve the unsteady gas equation. We apply the Modified Laplace decomposition method (MLDM) coupled with Pade ́ approximation to compute a series solution of unsteady flow of gas through a porous medium. The proposed iterative scheme finds the solution without any discretization, linearization or restrictive assumptions. The nonlinear terms can be easil...

The analytical solution of large Markovian models is one of the major challenges in performance evaluation. Structured formalisms provide a modular description to tackle state space explosion by presenting memory-efficient solutions based on tensor algebra and specific software tools implement such solutions using iterative methods. However, even these numerical methods become unsuitable when m...

The purpose of this work is to show that there exists an additional invariance of the βfunction equations of string theory on d + 1-dimensional targets with d toroidal isometries. It corresponds to a shift of the dilaton field and a scaling of the lapse function, and is reminiscent of string field redefinitions. While it preserves the form of the β-function equations, it changes the effective a...

Two-dimensional sparse grids contain only O(h ?1 log(h ?1)) grid points, in contrast to the usually used full O(h ?2)-grids, whereas for a suuciently smooth function the accuracy of the representation is only slightly deteriorated from O(h 2) to O(h 2 log(h ?1)). The combination technique presented in this paper uses the solutions of O(log(h ?1)) diierent, on regular standard grids discretized ...

The Poisson-Boltzmann (PB) equation has been extensively used to analyze the energetics and structure of proteins and other significant biomolecules immersed in electrolyte media. A new highly efficient approach for solving PB-type equations that allows for the modeling of many-atoms structures such as encountered in cell biology, virology, and nanotechnology is presented. We accomplish these e...

This paper studies the application of principal component analysis, multiple polynomial regression, and artificial neural network ANN techniques to the quantitative analysis of binary mixture of dye solution. The binary mixtures of three textile dyes including blue, red and yellow colors were analyzed by PCA-Multiple polynomial Regression and PCA-Artificial Neural network PCA-ANN methods. The o...

The discretization of the multi{dimensional radiative transfer equation results in a very large linear system of equations. The standard solution method used by astrophysicists is a simpliied xed point iteration (called approximate {iteration) which becomes slow for problems most interesting in astrophysics. As an alternative, a class of (block) conjugate gradient{like methods is proposed, toge...

In this paper we generalize the O(p+1, p+1) solution generating technique (this is a method used to deform Dp-branes by turning on a NS-NS B-field) to M-theory, in order to be able to deform M5-brane supergravity solutions directly in eleven dimensions, by turning on a non zero three form A. We find that deforming the M5-brane, in some cases, corresponds to performing certain SL(2,R) transforma...

lash or rinse solution use in liver transplantation has Fgathered much interest to prevent ischemia-reperfusion injury. Several solutions have been applied for clinical testing, but they remain controversial. Pratschke et al recently reported from a prospective randomized multicenter trial using Tacrolimus rinse based with histidine-tryptophanketoglutarate preservation solution for marginal liv...