Legendre Rational Spectral Method for Nonlinear Klein-Gordon Equation  

作　　者：Zhongqing Wang Benyu Guo 

机构地区：[1]Department of Mathematics, Division of Computational Science of E-Institute of Shanghai Universities, Shanghai Normal University, Shanghai 200234, China

出　　处：《Numerical Mathematics A Journal of Chinese Universities(English Series)》2006年第2期143-149,共7页

基　　金：This work is supported in part by NSF of China, N.10471095, SF of Shanghai N.04JC14062, The Fund of ChineseEducation Ministry N.20040270002, The Shanghai Leading Academic Discipline Project N. T0401, The Funds forE-institutes of Universities N.E03004 and The special Funds for Major Specialities and N.04DB15 of ShanghaiEducation Commission.

摘　　要：A Legendre rational spectral method is proposed for the nonlinear Klein-Gordon equation on the whole line. Its stability and convergence are proved. Numerical results coincides well with the theoretical analysis and demonstrate the e?ciency of this approach.A Legendre rational spectral method is proposed for the nonlinear Klein-Gordon equation on the whole line. Its stability and convergence are proved. Numerical results coincides well with the theoretical analysis and demonstrate the efficiency of this approach.

关 键 词：勒让德有理数光谱方法 非线性方程 克莱因-戈登方程 收敛 稳定性 

分 类 号：O24[理学—计算数学]