A new conservative finite difference scheme for the Rosenau equation

Khaled Omrani; Faycal Abidi; Talha Achouri; Noomen Khiari

doi:10.1016/j.amc.2007.11.039

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A new conservative finite difference scheme for the Rosenau equation

Journal article

Peer reviewed

A new conservative finite difference scheme for the Rosenau equation

Khaled Omrani, Faycal Abidi, Talha Achouri and Noomen Khiari

Applied mathematics and computation, Vol.201(1), pp.35-43

15/07/2008

DOI: https://doi.org/10.1016/j.amc.2007.11.039

Abstract

Conservation

Convergence

Finite difference scheme

Rosenau equation

Solvability

Stability

A conservative difference scheme is given for the KdV like Rosenau equation. The unique solvability of numerical solutions is shown. A priori bound, convergence and stability of the difference scheme are proved.

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Title: A new conservative finite difference scheme for the Rosenau equation
Creators - without role: Khaled Omrani - University of Sousse
Faycal Abidi - Tunisia Polytechnic School
Talha Achouri - University of Monastir
Noomen Khiari - University of Sousse
Publication Details: Applied mathematics and computation, Vol.201(1), pp.35-43
Publisher: Elsevier Inc
Identifiers: 9929386008331
Academic Unit: Shaqra University
Language: English
Resource Type: Journal article