Compact implicit integration factor method for the nonlinear Dirac equation
type: Item
instance of: scholarly article
title: Compact implicit integration factor method for the nonlinear Dirac equation
zbMATH Open document ID: 1407.65136
DOI: 10.1155/2017/3634815
author: Jing-Jing Zhang
author: Xiang-Gui Li
author: Jing-Fang Shao
published in: Discrete Dynamics in Nature and Society
publication date: 2018-09-27T00:00:00Z
review text: A numerical method of high accuracy is treated, for the solution of the \((1+1)\)-dimensional nonlinear Dirac (NLD) equation. The authors use a compact finite difference method (CM) with space discretization and obtain a nonlinear ordinary differential system, and then they use for the time discretization the implicit integration factor method (IIF) to this system. Mainly, they introduce CM-IIF4 of 4th-order scheme in both space and time. Numerical examples are given to confirm the accuracy of these schemes and to study the interaction dynamics of two NLD solitary waves.
reviewed by: Maria Gousidou-Koutita
Mathematics Subject Classification ID: 65M06
Mathematics Subject Classification ID: 35Q41
Mathematics Subject Classification ID: 35C08
Mathematics Subject Classification ID: 34A34
zbMATH DE Number: 6944818
zbMATH Keywords: nonlinear Dirac equation
zbMATH Keywords: compact finite difference method
zbMATH Keywords: implicit integration factor method
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2017/3634815
OpenAlex ID: W2765413769
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description: scientific article; zbMATH DE number 6944818