One-dimensional freezing of nonheaving unsaturated soils: Model formulation and similarity solution

One Dimensional Non-linear Consolidation of Unsaturated Fine Grained Soils

In the content of this study, non-linear consolidation behavior of unsaturated soils was investigated. In this respect a non linear differential equation for consolidation has been proposed. This proposed differential equation and its solutions enlighten both the diffusive characteristics and the time rate of settlement of soils. Besides, this study also enables to perform the matric suction ca...

A Fully Coupled THM Double Porosity Formulation for Unsaturated Soils

Comparison of Averaging Methods for Interface Conductivities in One-dimensional Unsaturated Flow in Layered Soils

The water flow in unsaturated soils is governed by Richards equation, a nonlinear parabolic partial differential equation. In a layered unsaturated soil, enforcing the continuity of both pressure head and flux across the interface of distinct soil materials leads to a non-linear interface equation. This interface equation may exhibit multiple solutions. Using different averaging methods for cel...

Numerical solution for one-dimensional independent of time Schrödinger Equation

In this paper, one of the numerical solution method of one- particle, one dimensional timeindependentSchrodinger equation are presented that allows one to obtain accurate bound state eigenvalues and functions for an arbitrary potential energy function V(x).For each case, we draw eigen functions versus the related reduced variable for the correspondingenergies. The paper ended with a comparison ...

Semiclassical solution of one dimensional model of Kondo insulator.

The model of Kondo chain with M-fold degenerate band of conduction electrons of spin 1/2 interacting with localized spins S is studied for the case when the electronic band is half filled. It is shown that the spectrum of spin excitations in the continuous limit is described by the O(3) nonlinear sigma model with the topological term with θ = π(2S − M). For a case |M − 2S| =(even) the system is...