A Legendre pseudospectral method for solving nonlinear Klein-Gordon equation

Xun Li, B. Y. Guo

Research output: Journal article publicationJournal articleAcademic researchpeer-review

38 Citations (Scopus)


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.
Original languageEnglish
Pages (from-to)105-126
Number of pages22
JournalJournal of Computational Mathematics
Issue number2
Publication statusPublished - 1 Dec 1997
Externally publishedYes

ASJC Scopus subject areas

  • Computational Mathematics


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