Spectral Method for Three-Dimensional Nonlinear Klein-Gordon Equation by Using Generalized Laguerre and Spherical Harmonic Functions

作     者：Xiao-Yong Zhang Ben-Yu Guo Yu-Jian Jiao 

作者机构：Department of Mathematics Shanghai Maritime University PudongRoad 1550 Shanghai 200135 China. Department of Mathematics Shanghai Normal University Scientific Computing Key Laboratory of Shanghai Universities Division of Computational Science of E-institute of Shanghai Universities Guilin Road 100 Shanghai 200234 China. 

出 版 物：《Numerical Mathematics(Theory,Methods and Applications)》 (高等学校计算数学学报（英文版）)

年 卷 期：2009年第2卷第1期

页      面：43-64页

核心收录：

学科分类：0821[工学-纺织科学与工程] 07[理学] 08[工学] 070104[理学-应用数学] 082104[工学-服装设计与工程] 0701[理学-数学] 

基　　金：supported in part by NSF of China N.10871131 The Science and Technology Commission of Shanghai Municipality,Grant N.075105118 Shanghai Leading Academic Discipline Project N.T0401 Fund for E-institute of Shanghai Universities N.E03004 

主　　题：Generalized Laguerre-spherical harmonic spectral method Cauchy problem of nonlinear Klein-Gordon equation. 

摘      要：In this paper,a generalized Laguerre-spherical harmonic spectral method is proposed for the Cauchy problem of three-dimensional nonlinear Klein-Gordon equation. The goal is to make the numerical solutions to preserve the same conservation as that for the exact *** stability and convergence of the proposed scheme are *** results demonstrate the efficiency of this *** also establish some basic results on the generalized Laguerre-spherical harmonic orthogonal approximation,which play an important role in spectral methods for various problems defined on the whole space and unbounded domains with spherical geometry.