It is well accepted by physicists that the Manakov PMD equation is a good model to describe the evolution of nonlinear electric elds in optical bers with randomly varying birefringence. In the regime of the di usion approximation theory, an e ective asymptotic dynamics has recently been obtained to describe this evolution. This equation is called the stochastic Manakov equation. In this article...

Finite element and finite difference discretizations for evolutionary convection-diffusion-reaction equations in two and three dimensions are studied which give solutions without or with small underand overshoots. The studied methods include a linear and a nonlinear FEM-FCT scheme, simple upwinding, an ENO scheme of order 3, and a fifth order WENO scheme. Both finite element methods are combine...

zona pellucida contains receptors for a variety of plant lectins, glycoproteins that bind to specific saccharide determinants (Oikawa, Yanagimachi & Nicol¬ son, 1973; Oikawa, Nicolson & Yanagimachi, 1974; Nicolson, Yanagimachi & Yanagimachi, 1975). Some of these lectins can bind to the zona pellucida and induce egg agglutination and/or cause changes in the ability of the exterior region of the ...

A linearized numerical scheme is proposed to solve the nonlinear time-fractional parabolic problems with time delay. The based on standard Galerkin finite element method in spatial direction, fractional Crank-Nicolson method, and extrapolation methods temporal direction. novel discrete Grönwall inequality established. Thanks inequality, error estimate of a fully obtained. Several examples are p...

We present two unconditionally stable finite-difference time-domain (FDTD) methods for modeling the Sagnac effect in rotating optical microsensors. The methods are based on the implicit Crank-Nicolson scheme, adapted to hold in the rotating system reference frame-the rotating Crank-Nicolson (RCN) methods. The first method (RCN-2) is second order accurate in space whereas the second method (RCN-...