A meshless multi-symplectic local radial basis function collocation scheme for the “good” Boussinesq equation
作者：
Highlights：
• Systematic construction of novel meshless multi-symplectic method for the “good” Boussinesq equation.
• Multi-symplectic integrators based on local radial basis function (RBF) collocation method (LRBFCM).
• Discrete energy conservation and momentum conservation with a negligible error.
• Meshless character and high-order approximation property of the method.
• Overcoming the problems of ill-conditioning and shape parameter sensitivity of the global RBF collocation method.
摘要
•Systematic construction of novel meshless multi-symplectic method for the “good” Boussinesq equation.•Multi-symplectic integrators based on local radial basis function (RBF) collocation method (LRBFCM).•Discrete energy conservation and momentum conservation with a negligible error.•Meshless character and high-order approximation property of the method.•Overcoming the problems of ill-conditioning and shape parameter sensitivity of the global RBF collocation method.
论文关键词：Multi-symplectic,Local RBF method,Boussinesq equation,Energy,Momentum
论文评审过程：Received 9 May 2021, Revised 1 June 2022, Accepted 3 June 2022, Available online 15 June 2022, Version of Record 15 June 2022.
论文官网地址：https://doi.org/10.1016/j.amc.2022.127297
