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

Juan Chen, Luming Zhang
2013 Journal of Applied Mathematics  
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 + 2 ) on the basis of the prior estimates. Results of numerical experiments demonstrate the efficiency of the new schemes.
doi:10.1155/2013/462018 fatcat:zqbyafsttbb5ziigag6k7rgfqq