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Two energy conserving numerical schemes for the Klein-Gordon-Zakharov equations - MaRDI portal

Two energy conserving numerical schemes for the Klein-Gordon-Zakharov equations (Q1789923)

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scientific article; zbMATH DE number 6950688
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Two energy conserving numerical schemes for the Klein-Gordon-Zakharov equations
scientific article; zbMATH DE number 6950688

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    Two energy conserving numerical schemes for the Klein-Gordon-Zakharov equations (English)
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    10 October 2018
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    Summary: Two new difference schemes are proposed for an initial-boundary-value problem of the Klein-Gordon-Zakharov (KGZ) equations. They have the advantage that there is a discrete energy which is conserved. Their stability and convergence of difference solutions are proved in order \(O(h^2 + \tau^2)\) on the basis of the prior estimates. Results of numerical experiments demonstrate the efficiency of the new schemes.
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