The purpose of this paper is to analyze in detail a special nonlinear partial differential equation (nPDE) of the second order which is important in physical, chemical and technical applications. The present nPDE describes nonlinear diffusion and is of interest in several parts of physics, chemistry and engineering problems alike. Since nature is not linear intrinsically the nonlinear case is t...

the overall aim of this study is to calculate some water properties in the single wall carbon naotubes (swcnt) and compare them to the bulk water properties to investigate the deviation of water properties inside the swcnt from those in the bulk. here some physical and transport properties of water molecules in the single wall carbon nanotube were reported by performing molecular dynamics (md) ...

The diffusion equation is related to the Schrödinger equation by analytic continuation. The formula E2=p2c2 + m2c4 leads to a relativistic Schrödinger equation, and analytic continuation yields a relativistic diffusion equation that involves fractional calculus. This paper develops stochastic models for relativistic diffusion and equivalent differential equations with no fractional derivatives....

the purpose of this paper is to analyze in detail a special nonlinear partial differentialequation (npde) of the second order which is important in physical, chemical and technicalapplications. the present npde describes nonlinear diffusion and is of interest in several partsof physics, chemistry and engineering problems alike. since nature is not linear intrinsicallythe nonlinear case is there...

We investigate the solutions of a generalized diffusion-like equation by considering spatial and time fractional derivative presence non-local terms, which can be related to reaction or adsorption–desorption processes. use Green function approach obtain evaluate spreading system show rich class behaviors. also connect results obtained with anomalous diffusion

The first part of this paper summarises the essential facts on general optimal stopping theory for time-homogeneous diffusion processes in R. The results displayed are stated in a little greater generality, but in such a way that they are neither too restrictive nor too complicated. The second part presents equations for the value function and the optimal stopping boundary as a free-boundary (S...