This paper is concerned with the Cubic Interpolation scheme CIP proposed by T. Yabe for the Galerkin Characteristic Method and the possibility of improving the precision of PDE solvers when the differentiated form of the equation is used. For convection diffusion equations a Lagrangian treatment of the convective term is analyzed for various approximations of the projection operator. It is foun...

This paper presents the modified method of characteristics for simulating multidimensional transient radiative transfer in emitting, absorbing and scattering media. The method is based on the method of characteristics that follows photons along their pathlines. It makes use of a fixed set of points, and unlike the conventional method of characteristics, it follows the photons backward in space....

This study reports biochemical composition and morphological aspect of gallstones as investigated by spectroscopy IR method. Participants were 24 patients composed of 12 males and 12 females who underwent cholecystectomy with age mean of 44.8 years. The gallstones were classified either as pigments stones (n = 12), cholesterol stones (n = 8) or as mixed stones (n = 4) according to analysis by F...

The residual cutting (RC) method has been proposed for efficiently solving linear equations obtained from elliptic partial differential equations. Based on the RC, we have introduced the generalized residual cutting (GRC) method, which can be applied to general sparse matrix problems. In this paper, we study the mathematics of the GRC algorithm and and prove it is a Krylov subspace method. More...

A new approach based on the method of characteristics (MOC) and Rosenbrock method is developed to solve the timedependent transport equation in one-dimensional (1D) geometry without any approximation and considering delayed neutrons. Within the MOC methodology, the leakage term in time-dependent transport equation can be simplified to spatial derivative of the angular flux along the characteris...

We apply a version of the dressing method to a system of four dimensional nonlinear Partial Differential Equations (PDEs), which contains both Pohlmeyer equation (i.e. nonlinear PDE integrable by the Inverse Spectral Transform Method) and nonlinear matrix PDE integrable by the method of characteristics as particular reductions. Some other reductions are suggested.

I. ABSTRACT The paper presents salient features of photonic crystal fiber (PCF) at one place. This paper focuses on the investigation of propagation characteristics of index guiding photonic crystal fibers from Scalar and Vectorial Effective index methods with an objective to compare and analyze the guided modes, spot size, spectral response of bend loss and spectral response of splice losses f...

Themiscible displacement of one incompressible fluid by another in a porous medium is governed by a system of two equations. One is elliptic form equation for the pressure and the other is parabolic form equation for the concentration of one of the fluids. Since only the velocity and not the pressure appears explicitly in the concentration equation, we use a mixed finite element method for the ...