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2014 An Average Linear Difference Scheme for the Generalized Rosenau-KdV Equation
Maobo Zheng, Jun Zhou
J. Appl. Math. 2014: 1-9 (2014). DOI: 10.1155/2014/202793

Abstract

An average linear finite difference scheme for the numerical solution of the initial-boundary value problem of Generalized Rosenau-KdV equation is proposed. The existence, uniqueness, and conservation for energy of the difference solution are proved by the discrete energy norm method. It is shown that the finite difference scheme is 2nd-order convergent and unconditionally stable. Numerical experiments verify that the theoretical results are right and the numerical method is efficient and reliable.

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Maobo Zheng. Jun Zhou. "An Average Linear Difference Scheme for the Generalized Rosenau-KdV Equation." J. Appl. Math. 2014 1 - 9, 2014. https://doi.org/10.1155/2014/202793

Information

Published: 2014
First available in Project Euclid: 2 March 2015

zbMATH: 07010569
MathSciNet: MR3176813
Digital Object Identifier: 10.1155/2014/202793

Rights: Copyright © 2014 Hindawi

Vol.2014 • 2014
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