A LEGENDRE PSEUDOSPECTRAL METHOD FOR SOLVING NONLINEAR KLEIN-GORDON EQUATION

摘要

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 the- oretical analysis provides a framework for Legendre pseudospectral approximation of nonlinear multi-dimensional problems.