An unconventional finite difference scheme for modified Korteweg-de Vries equation
type: Item
instance of: scholarly article
title: An unconventional finite difference scheme for modified Korteweg-de Vries equation
zbMATH Open document ID: 1404.65093
DOI: 10.1155/2017/4796070
author: Ayhan Aydin
author: Canan Köroğlu
published in: Advances in Mathematical Physics
publication date: 2018-10-23T00:00:00Z
review text: Summary: A numerical solution of the modified Korteweg-de Vries (MKdV) equation is presented by using a nonstandard finite difference (NSFD) scheme with theta method which includes the implicit Euler and a Crank-Nicolson type discretization. Local truncation error of the NSFD scheme and linear stability analysis are discussed. To test the accuracy and efficiency of the method, some numerical examples are given. The numerical results of NSFD scheme are compared with the exact solution and a standard finite difference scheme. The numerical results illustrate that the NSFD scheme is a robust numerical tool for the numerical integration of the MKdV equation.
Mathematics Subject Classification ID: 65M06
Mathematics Subject Classification ID: 65M12
zbMATH DE Number: 6962629
zbMATH Keywords: modified Korteweg-de Vries equation
zbMATH Keywords: nonstandard finite difference scheme
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2017/4796070
OpenAlex ID: W2765097661
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description: scientific article; zbMATH DE number 6962629