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

Abstract:

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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.

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Periodical:

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 and 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

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$35.00

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