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

Juan Chen | Zendy; Luming Zhang | Zendy

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

Author(s) -

Juan Chen,

Luming Zhang

Publication year - 2013

Publication title -

journal of applied mathematics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.307

H-Index - 43

eISSN - 1687-0042

pISSN - 1110-757X

DOI - 10.1155/2013/462018

Subject(s) - mathematics , convergence (economics) , combinatorics , matrix (chemical analysis) , mathematical physics , path (computing) , boundary value problem , energy (signal processing) , mathematical analysis , physics , computer science , chemistry , statistics , chromatography , economics , programming language , economic growth

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 + τ 2) on the basis of the prior estimates. Results of numerical experiments demonstrate the efficiency of the new schemes. © 2013 Juan Chen and Luming Zhang.

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