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

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  • Juan Chen
  • Luming Zhang

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.

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  • Juan Chen & Luming Zhang, 2013. "Two Energy Conserving Numerical Schemes for the Klein-Gordon-Zakharov Equations," Journal of Applied Mathematics, Hindawi, vol. 2013, pages 1-13, November.
    • Handle: RePEc:hin:jnljam:462018
    DOI: 10.1155/2013/462018
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