The Improved Moving Least-Square Ritz Method for the One-Dimensional Sine-Gordon Equation

被引：8

作者：

Wei, Qi ^{[1
]}

Cheng, Rongjun ^{[1
]}

机构：

[1] Zhejiang Univ, Ningbo Inst Technol, Ningbo 315100, Zhejiang, Peoples R China

来源：

MATHEMATICAL PROBLEMS IN ENGINEERING | 2014年 / 2014卷

关键词：

ELEMENT-FREE GALERKIN; 2D FRACTURE PROBLEMS; NUMERICAL-SOLUTION; APPROXIMATION; SCHEME;

D O I：

10.1155/2014/383219

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

Analysis of the one-dimensional sine-Gordon equation is performed using the improved moving least-square Ritz method (IMLS-Ritz method). The improved moving least-square approximation is employed to approximate the 1D displacement field. A system of discrete equations is obtained by application of the Ritz minimization procedure. The effectiveness and accuracy of the IMLS-Ritz method for the sine-Gordon equation are investigated by numerical examples in this paper.

引用

页数：10

共 50 条

[21] Discrete-Time Orthogonal Spline Collocation Method for One-Dimensional Sine-Gordon Equation
Ding, Xiaoquan
Meng, Qing-Jiang
Yin, Li-Ping
DISCRETE DYNAMICS IN NATURE AND SOCIETY, 2015, 2015
[22] A multigrid compact finite difference method for solving the one-dimensional nonlinear sine-Gordon equation
Moghaderi, Hamid
Dehghan, Mehdi
MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2015, 38 (17) : 3901 - 3922
[23] The Boundary Integral Equation Approach for Numerical Solution of the One-Dimensional Sine-Gordon Equation
Dehghan, Mehdi
Mirzaei, Davoud
NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS, 2008, 24 (06) : 1405 - 1415
[24] One-dimensional global attractor for discretization of the damped driven sine-Gordon equation
Peking Univ, Beijing, China
Nonlinear Anal Theory Methods Appl, 7 (941-951):
[25] Fourth-Order Compact Scheme for the One-Dimensional Sine-Gordon Equation
Cui, Mingrong
NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS, 2009, 25 (03) : 685 - 711
[26] One-dimensional global attractor for discretization of the damped driven sine-Gordon equation
Qian, M
Qin, WX
Zhu, S
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 1998, 34 (07) : 941 - 951
[27] Regularized moving least-square method and regularized improved interpolating moving least-square method with nonsingular moment matrices
Wang, Qiao
Zhou, Wei
Cheng, Yonggang
Ma, Gang
Chang, Xiaolin
Miao, Yu
Chen, E.
APPLIED MATHEMATICS AND COMPUTATION, 2018, 325 : 120 - 145
[28] A numerical method for one-dimensional nonlinear sine-Gordon equation using multiquadric quasi-interpolation
Shanghai Key Laboratory for Contemporary Applied Mathematics, School of Mathematical Sciences, Fudan University, Shanghai 200433, China
Chin. Phys., 2009, 8 (3099-3103):
[29] A numerical method for one-dimensional nonlinear Sine-Gordon equation using collocation and radial basis functions
Dehghan, M.
Shokri, Ali
NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS, 2008, 24 (02) : 687 - 698
[30] A numerical method for one-dimensional nonlinear sine-Gordon equation using multiquadric quasi-interpolation
Ma Li-Min
Wu Zong-Min
CHINESE PHYSICS B, 2009, 18 (08) : 3099 - 3103

← 1 2 3 4 5 →