Two Energy Conserving Numerical Schemes for the Klein-Gordon-Zakharov Equations

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() on the basis of the prior estimates. Results of numerical experiments demonstrate the efficiency of the new schemes.

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