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

Author

Juan Chen and Luming Zhang

Subjects
*MATHEMATICAL models, *ENERGY conservation, *NUMERICAL analysis, *KLEIN-Gordon equation, *BOUNDARY value problems, *STOCHASTIC convergence, *APPLIED mathematics
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(h² + τ²) on the basis of the prior estimates. Results of numerical experiments demonstrate the efficiency of the new schemes. [ABSTRACT FROM AUTHOR]

Published
2013
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