Numerical Solution of Sine-Gordon Equation with the Local Kriging Meshless Method
Joint Authors
Guo, Pengfei
Boldbaatar, Ariunkhishig
Yi, Dutao
Dai, Pengxiang
Source
Mathematical Problems in Engineering
Issue
Vol. 2020, Issue 2020 (31 Dec. 2020), pp.1-11, 11 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2020-09-08
Country of Publication
Egypt
No. of Pages
11
Main Subjects
Abstract EN
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.
American Psychological Association (APA)
Guo, Pengfei& Boldbaatar, Ariunkhishig& Yi, Dutao& Dai, Pengxiang. 2020. Numerical Solution of Sine-Gordon Equation with the Local Kriging Meshless Method. Mathematical Problems in Engineering،Vol. 2020, no. 2020, pp.1-11.
https://search.emarefa.net/detail/BIM-1201971
Modern Language Association (MLA)
Guo, Pengfei…[et al.]. Numerical Solution of Sine-Gordon Equation with the Local Kriging Meshless Method. Mathematical Problems in Engineering No. 2020 (2020), pp.1-11.
https://search.emarefa.net/detail/BIM-1201971
American Medical Association (AMA)
Guo, Pengfei& Boldbaatar, Ariunkhishig& Yi, Dutao& Dai, Pengxiang. Numerical Solution of Sine-Gordon Equation with the Local Kriging Meshless Method. Mathematical Problems in Engineering. 2020. Vol. 2020, no. 2020, pp.1-11.
https://search.emarefa.net/detail/BIM-1201971
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1201971