Numerical Approximation of Nonlinear Klein-Gordon Equation Using an Element-Free Approach
Joint Authors
Zhang, L. W.
Huang, Dong-Mei
Zou, Guo-liang
Source
Mathematical Problems in Engineering
Issue
Vol. 2015, Issue 2015 (31 Dec. 2015), pp.1-11, 11 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2015-10-11
Country of Publication
Egypt
No. of Pages
11
Main Subjects
Abstract EN
Numerical approximation of nonlinear Klein-Gordon (KG) equation with quadratic and cubic nonlinearity is performed using the element-free improved moving least squares Ritz (IMLS-Ritz) method.
A regular arrangement of nodes is employed in this study for the numerical integration to compute the system equation.
A functional formulation for the KG equation is established and discretized by the Ritz minimization procedure.
Newmark’s integration scheme combined with an iterative technique is applied to the resulting nonlinear system equations.
The effectiveness and efficiency of the IMLS-Ritz method for the KG equation have been testified through convergence analyses and comparison study between the present results and the exact solutions.
American Psychological Association (APA)
Huang, Dong-Mei& Zou, Guo-liang& Zhang, L. W.. 2015. Numerical Approximation of Nonlinear Klein-Gordon Equation Using an Element-Free Approach. Mathematical Problems in Engineering،Vol. 2015, no. 2015, pp.1-11.
https://search.emarefa.net/detail/BIM-1074126
Modern Language Association (MLA)
Huang, Dong-Mei…[et al.]. Numerical Approximation of Nonlinear Klein-Gordon Equation Using an Element-Free Approach. Mathematical Problems in Engineering No. 2015 (2015), pp.1-11.
https://search.emarefa.net/detail/BIM-1074126
American Medical Association (AMA)
Huang, Dong-Mei& Zou, Guo-liang& Zhang, L. W.. Numerical Approximation of Nonlinear Klein-Gordon Equation Using an Element-Free Approach. Mathematical Problems in Engineering. 2015. Vol. 2015, no. 2015, pp.1-11.
https://search.emarefa.net/detail/BIM-1074126
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1074126