Large-time existence for one-dimensional Green-Naghdi equations with vorticity

Large Time Existence for 1d Green-naghdi Equations

We consider here the 1D Green-Naghdi equations that are commonly used in coastal oceanography to describe the propagation of large amplitude surface waves. We show that the solution of the Green-Naghdi equations can be constructed by a standard Picard iterative scheme so that there is no loss of regularity of the solution with respect to the initial condition.

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 ...

Large-time behaviour of solutions to the equations of one-dimensional nonlinear thermoviscoelasticity with memory

This paper is concerned with the large-time behaviour of globally defined smooth solutions of the initial-boundary value problem for the one-dimensional nonlinear thermoviscoelasticity system with memory. c © 2007 Published by Elsevier Ltd

The Eigenvalue Problem for Solitary Waves of the Green-Naghdi Equations

Momentum-time flux conservation method for one-dimensional wave equations

We present a conservation element solution element method in time and momentum space. Several paradigmatic wave problems including simple wave equation, convection-diffusion equation, driven harmonic oscillating charge and nonlinear Korteweg-de Vries (KdV) equation are solved with this method and calibrated with known solutions to demonstrate its use. With this method, time marching scheme is e...