Meshless singular boundary method for nonlinear sine-Gordon equation
type: Item
instance of: scholarly article
title: Meshless singular boundary method for nonlinear sine-Gordon equation
zbMATH Open document ID: 1427.65288
DOI: 10.1155/2018/6460480
author: Yun Ji
published in: Mathematical Problems in Engineering
publication date: 2019-02-08T00:00:00Z
review text: Summary: A meshless method based on the singular boundary method is developed for the numerical solution of the time-dependent nonlinear sine-Gordon equation with Neumann boundary condition. In this method, by using a time discrete scheme to approximate the time derivatives, the time-dependent nonlinear problem is transformed into a sequence of time-independent linear boundary value problems. Then, the singular boundary method is used to establish the system of discrete algebraic equations. The present method is meshless, integration-free, and easy to implement. Numerical examples involving line and ring solitons are given to show the performance and efficiency of the proposed method. The numerical results are found to be in good agreement with the analytical solutions and the numerical results that exist in literature.
Mathematics Subject Classification ID: 65M70
Mathematics Subject Classification ID: 35Q53
zbMATH DE Number: 7019304
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2018/6460480
OpenAlex ID: W2855980131
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Wikidata QID: Q129582230
description: scientific article; zbMATH DE number 7019304