A Meshless Method Based on the Improved Interpolating Moving Least-Squares Method for the Regularized Long Wave Equation
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.
Di Zheng, Yiqiang Wang, Yi-Min Deng, Aibing Yu and Weihua Li
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