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.

• Periodical: Applied Mechanics and Materials (Volumes 101-102)
• Pages: 467-470
• DOI: https://doi.org/10.4028/www.scientific.net/AMM.101-102.467
• Online since: September 2011
• Authors: Ju Feng Wang, Feng Xin Sun
• Keywords: Improved Interpolating Moving Least-Squares (IIMLS) Method, Meshless Method, Moving Least-Squares (MLS) Approximation, Regularized Long Wave (RLW) Equation

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