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

Juan Chen and Luming Zhang

Journal of Applied Mathematics, 2013, vol. 2013, 1-13

Abstract:

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.

Date: 2013
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnljam:462018

DOI: 10.1155/2013/462018

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