TY - JOUR T1 - Legendre rational spectral method for nonlinear Klein-Gordon equation AU - Z. Wang & B. Guo JO - Numerical Mathematics, a Journal of Chinese Universities VL - 2 SP - 143 EP - 149 PY - 2006 DA - 2006/05 SN - 15 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/nm/8023.html KW - AB - 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.