Analysis of a Relaxation Scheme for a Nonlinear Schrödinger Equation Occurring in Plasma Physics

    Dietmar Oelz Info
    Saber Trabelsi Info

Abstract

This paper is devoted to the analysis of a relaxation-type numerical scheme for a nonlinear Schrödinger equation arising in plasma physics. The scheme is shown to be preservative in the sense that it preserves mass and energy. We prove the well-posedness of the semidiscretized system and prove convergence to the solution of the time-continuous model.

Keywords:

relaxation scheme, initial value problem, Laplace equation, nonlinear Schrödinger equation

How to Cite

Oelz, D., & Trabelsi, S. (2014). Analysis of a Relaxation Scheme for a Nonlinear Schrödinger Equation Occurring in Plasma Physics. Mathematical Modelling and Analysis, 19(2), 257-274. https://doi.org/10.3846/13926292.2014.910279

Share

Published in Issue
April 15, 2014
Abstract Views
707

View article in other formats

CrossMark check

CrossMark logo

Published

2014-04-15

Issue

Section

Articles

How to Cite

Oelz, D., & Trabelsi, S. (2014). Analysis of a Relaxation Scheme for a Nonlinear Schrödinger Equation Occurring in Plasma Physics. Mathematical Modelling and Analysis, 19(2), 257-274. https://doi.org/10.3846/13926292.2014.910279

Share