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

الملخص EN

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(h2+τ2) on the basis of the prior estimates.

Results of numerical experiments demonstrate the efficiency of the new schemes.