A Legendre Pseudospectral Method for Solving Nonlinear Klein-Gordon Equation

A Legendre Pseudospectral Method for Solving Nonlinear Klein-Gordon Equation

Year:    1997

Journal of Computational Mathematics, Vol. 15 (1997), Iss. 2 : pp. 105–126

Abstract

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.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/1997-JCM-9193

Journal of Computational Mathematics, Vol. 15 (1997), Iss. 2 : pp. 105–126

Published online:    1997-01

AMS Subject Headings:   

Copyright:    COPYRIGHT: © Global Science Press

Pages:    22

Keywords: