We consider the multispecies model described by a coupled system of diffusion–reaction equations, where coupling and nonlinearity are given in reaction part. construct semi-discrete form using finite volume approximation space. The fully implicit scheme is used for time, which leads to solving nonlinear equations at each time step. This paper presents two uncoupling techniques based on explicit...

Asset returns have been modeled in continuous time as diffusions by Black and Scholes (1973) and Merton (1973), as pure jump processes by Cox and Ross (1976), and as jump-diffusions by Merton (1976). The jump processes studied by Cox and Ross display finite activity, while some recent research has considered some pure jump processes with infinite activity. Two examples of these infinite-activit...

In this talk, we discuss the possibility that the vacuum is dynamically determined in the history of the universe. The point is that some of the bubbles with a certain vacuum shrink by the evolution of the universe via gravity and may become black holes. It is interesting that in many cases false vacua are favored in the context of cosmology. By using this argument, supersymmetry(SUSY), if it e...

In the ordered phase of 2D XY ferromagnet the dipole force induce a strong interaction between spin-waves in the long wavelength limit. This interaction leads to the transformation of the spin-wave excitation into a new soft-mode excitation in an intermediate range of wavelengths limited in magnitude and direction; and into an anomalous anisotropic diffusion mode excitation at long wavelengths....

In this study, a time-dependent 2D axisymmetric model of a multilayer hollow fiber composite membrane for gas separation is proposed. In spite of the common multilayer membranes, which a dense layer coated on a porous support layer and subjected into the feed stream, here, the porous support is exposed to the feed gas. In this regard, the governing equations of species transport are developed f...