Paper Title:
A Meshless Method Based on the Improved Interpolating Moving Least-Squares Method for the Regularized Long Wave Equation
  Abstract

This paper presents an improved interpolating moving least-squares (IIMLS) method, in which orthogonal functions system is used as the basis functions. In the IIMLS method, the final algebra equation system is not ill-conditioned, and can be solved without obtaining the inverse matrix. Hence, the computing speed and efficiency are improved. Then based on the IIMLS method, a meshless method is presented for the numerical solution of the regularized long wave (RLW) equation, which can be used to describe phenomena with weak nonlinearity and dispersion waves. And a numerical example is given to confirm the IMLS method.

  Info
Periodical
Chapter
Chapter 2: Simulation and Engineering Optimization
Edited by
Di Zheng, Yiqiang Wang, Yi-Min Deng, Aibing Yu and Weihua Li
Pages
467-470
DOI
10.4028/www.scientific.net/AMM.101-102.467
Citation
J. F. Wang, F. X. Sun, "A Meshless Method Based on the Improved Interpolating Moving Least-Squares Method for the Regularized Long Wave Equation", Applied Mechanics and Materials, Vols. 101-102, pp. 467-470, 2012
Online since
September 2011
Export
Price
$32.00
Share

In order to see related information, you need to Login.

In order to see related information, you need to Login.

Authors: L.S. Miers, J.C.F. Telles
Abstract:This work aims at introducing the concept of the numerical Green’s function (NGF) idea for elastostatic fracture mechanics using the...
85
Authors: Li Bo Cheng
Abstract:Wavelet analysis has many applications in scientific areas such as computer graphics, image processing, numerical algorithms and signal...
372
Authors: Ju Feng Wang
Chapter 2: Simulation and Engineering Optimization
Abstract:A disadvantage of the MLS approximation is that the shape function of this method does not satisfy the property of Kronecker Delta function....
271
Authors: Feng Xin Sun, Ju Feng Wang
Chapter 2: Simulation and Engineering Optimization
Abstract:An improved element-free Galerkin method is presented for the numerical solution of the third-order nonlinear KdV equation by coupling the...
471
Authors: Jian Jun Wang, Jian Qiao Yu
Chapter 7: Mechatronics and Robotics
Abstract:The optimal design for the gliding trajectory is studied. The particle trajectory model in the longitudinal plane is established. Aiming at...
1063