A LEGENDRE PSEUDOSPECTRAL METHOD FOR SOLVING NONLINEAR KLEIN-GORDON EQUATION

A LEGENDRE PSEUDOSPECTRAL METHOD FOR SOLVING NONLINEAR KLEIN-GORDON EQUATION

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...

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Veröffentlicht in:Journal of computational mathematics 1997-04, Vol.15 (2), p.105-126
Hauptverfasser: Li, X., Guo, B.Y.
Format: Artikel
Sprache:eng
Schlagworte:
Approximation
Error rates
Integers
Interpolation
Klein Gordon equation
Mathematical inequalities
Polynomials
Real numbers
Spectral methods
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Zusammenfassung: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.
ISSN:0254-9409
1991-7139