Conservative Linear Difference Scheme for Rosenau-KdV Equation

A conservative three-level linear finite difference scheme for the numerical solution of the initial-boundary value problem of Rosenau-KdV equation is proposed. The difference scheme simulates two conservative quantities of the problem well. The existence and uniqueness of the difference solution ar...

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Bibliographic Details
Published in:Advances in mathematical physics 2013-01, Vol.2013 (2013), p.1-7
Main Authors: Hu, Jinsong, Xu, Youcai, Hu, Bing
Format: Article
Language:English
Subjects:
Boundary value problems
Computer simulation
Convergence
Finite difference method
Finite element analysis
Heat transfer
Initial value problems
Mathematical analysis
Mathematical models
Studies
Uniqueness
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Summary:A conservative three-level linear finite difference scheme for the numerical solution of the initial-boundary value problem of Rosenau-KdV equation is proposed. The difference scheme simulates two conservative quantities of the problem well. The existence and uniqueness of the difference solution are proved. It is shown that the finite difference scheme is of second-order convergence and unconditionally stable. Numerical experiments verify the theoretical results.
ISSN:1687-9120
1687-9139
DOI:10.1155/2013/423718