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 - <p style="text-align: justify;">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.</p>