Numerical solution of sine-Gordon equation with the local kriging meshless method
type: Item
instance of: scholarly article
title: Numerical solution of sine-Gordon equation with the local kriging meshless method
zbMATH Open document ID: 1459.65196
DOI: 10.1155/2020/9057387
author: Pengfei Guo
author: Ariunkhishig Boldbaatar
author: Dutao Yi
author: Pengxiang Dai
published in: Mathematical Problems in Engineering
publication date: 2020-10-13T00:00:00Z
review text: Summary: This paper develops a local Kriging meshless solution to the nonlinear 2 + 1-dimensional sine-Gordon equation. The meshless shape function is constructed by Kriging interpolation method to have Kronecker delta function property for the two-dimensional field function, which leads to convenient implementation of imposing essential boundary conditions. Based on the local Petrov-Galerkin formulation and the center difference method for time discretization, a system of nonlinear discrete equations is obtained. The numerical examples are presented and the numerical solutions are found to be in good agreement with the results in the literature to validate the ability of the present meshless method to handle the 2 + 1-dimensional sine-Gordon equation related problems.
Mathematics Subject Classification ID: 65M70
Mathematics Subject Classification ID: 35Q53
zbMATH DE Number: 7259967
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2020/9057387
OpenAlex ID: W3083794939
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description: scientific article; zbMATH DE number 7259967