三维无界区域问题的快速Legendre有理谱配点算法

利用半直线和全直线上的Legendre有理配置点和相应的微分矩阵,结合矩阵分解方法,建立了一种求解三维无界规则区域问题的快速有理谱配点算法,发展了三维无界区域谱方法的数值求解方法.数值结果显示了方法的有效性和高精度性.;Based on Legendre rational collocating points and the corresponding differential matrices of half line and whole line, a fast rational Legendre pseudospectral method is established for problems in three-dimensional unbounded domains using matrix decomposition algorithms, the spectral method is developed for problems in three-dimensional unbounded domains.The numerical results demonstrate the efficiency of the new approach