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