Numerical analysis for a conservative difference scheme to solve the Schrödinger-Boussinesq equation
type: Item
instance of: scholarly article
title: Numerical analysis for a conservative difference scheme to solve the Schrödinger-Boussinesq equation
zbMATH Open document ID: 1230.65099
author: Dongmei Bai
author: Luming Zhang
author: Shanshan Wang
published in: Journal of Computational and Applied Mathematics
publication date: 2011-08-02T00:00:00Z
review text: A finite difference scheme for the solution of an initial-boundary value problem of the Schrödinger-Boussinesq equation is presented. The scheme is fully implicit and conserves two invariable quantities of the system. The existence of the solution for the scheme is investigated, the process for the numerical solution is described and convergence of an iteration method is proven. The uniqueness, convergence and stability for the difference solution are discussed. Numerical experiments verify the accuracy of the method.
Mathematics Subject Classification ID: 65M06
Mathematics Subject Classification ID: 65M12
Mathematics Subject Classification ID: 65M15
Mathematics Subject Classification ID: 35Q55
zbMATH DE Number: 5934896
zbMATH Keywords: Schrödinger-Boussinesq equation
zbMATH Keywords: conservative difference scheme
zbMATH Keywords: a priori error estimates
zbMATH Keywords: initial-boundary value
zbMATH Keywords: convergence
zbMATH Keywords: stability
zbMATH Keywords: numerical experiments
reviewed by: Petr Sváček
MaRDI profile type: Publication
full work available at URL: j.cam.2011.04.001
OpenAlex ID: W2016904860
cites work: Q3217019
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cites work: Q3148182
cites work: Soliton solutions of a coupled field using the mixing exponential method
DOI: 10.1016/J.CAM.2011.04.001
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description: scientific article; zbMATH DE number 5934896