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An initial-boundary value problem of a nonlinear Klein-Gordon equation - MaRDI portal

An initial-boundary value problem of a nonlinear Klein-Gordon equation (Q1363823)

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scientific article; zbMATH DE number 1047347
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An initial-boundary value problem of a nonlinear Klein-Gordon equation
scientific article; zbMATH DE number 1047347

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    An initial-boundary value problem of a nonlinear Klein-Gordon equation (English)
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    11 September 1997
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    A fully implicit and discrete energy conserving finite difference scheme for solving an initial-boundary value problem of the nonlinear Klein-Gordon equation is presented. A theoretical analysis is performed and it is demonstrated that the numerical scheme is especially attractive when long time solutions are sought.
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    fully implicit
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    energy conservation
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    finite difference scheme
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    initial-boundary value problem
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    Klein-Gordon equation
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