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

Joint Authors

Chen, Juan
Zhang, Luming

Source

Journal of Applied Mathematics

Issue

Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-13, 13 p.

Publisher

Hindawi Publishing Corporation

Publication Date

2013-11-30

Country of Publication

Egypt

No. of Pages

13

Main Subjects

Mathematics

Abstract EN

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.

American Psychological Association (APA)

Chen, Juan& Zhang, Luming. 2013. Two Energy Conserving Numerical Schemes for the Klein-Gordon-Zakharov Equations. Journal of Applied Mathematics،Vol. 2013, no. 2013, pp.1-13.
https://search.emarefa.net/detail/BIM-473454

Modern Language Association (MLA)

Chen, Juan& Zhang, Luming. Two Energy Conserving Numerical Schemes for the Klein-Gordon-Zakharov Equations. Journal of Applied Mathematics No. 2013 (2013), pp.1-13.
https://search.emarefa.net/detail/BIM-473454

American Medical Association (AMA)

Chen, Juan& Zhang, Luming. Two Energy Conserving Numerical Schemes for the Klein-Gordon-Zakharov Equations. Journal of Applied Mathematics. 2013. Vol. 2013, no. 2013, pp.1-13.
https://search.emarefa.net/detail/BIM-473454

Data Type

Journal Articles

Language

English

Notes

Includes bibliographical references

Record ID

BIM-473454