TY - JOUR T1 - A Legendre Pseudospectral Method for Solving Nonlinear Klein-Gordon Equation JO - Journal of Computational Mathematics VL - 2 SP - 105 EP - 126 PY - 1997 DA - 1997/04 SN - 15 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/jcm/9193.html KW - AB -

A Legendre pseudospectral scheme is proposed for solving initial-boundary value problem of nonlinear Klein-Gordon equation. The numerical solution keeps the discrete conservation. Its stability and convergence are investigated. Numerical results are also presented, which show the high accuracy. The technique in the theoretical analysis provides a framework for Legendre pseudospectral approximation of nonlinear multi-dimensional problems.