Fourier collocation method for solving nonlinear Klein-Gordon equation (Q1316054)

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scientific article; zbMATH DE number 516914
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Fourier collocation method for solving nonlinear Klein-Gordon equation
scientific article; zbMATH DE number 516914

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    Fourier collocation method for solving nonlinear Klein-Gordon equation (English)
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    17 April 1994
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    A Fourier collocation scheme is proposed for solving the periodic problem of the nonlinear Klein-Gordon equation. A discrete energy conservation law is shown to be satisfied by the approximate solution. Several lemmas are listed. Some numerical results are presented. The stability and convergence are also analysed.
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    periodic solution
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    Fourier collocation method
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    nonlinear Klein-Gordon equation
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    conservation law
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    numerical results
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    stability
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    convergence
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