Conservative Difference Scheme for Generalized Rosenau-KdV Equation | Zendy

Yan Luo | Zendy; Youcai Xu | Zendy; Minfu Feng | Zendy

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Conservative Difference Scheme for Generalized Rosenau-KdV Equation

Author(s) -

Yan Luo,

Youcai Xu,

Minfu Feng

Publication year - 2014

Publication title -

advances in mathematical physics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.283

H-Index - 23

eISSN - 1687-9139

pISSN - 1687-9120

DOI - 10.1155/2014/986098

Subject(s) - korteweg–de vries equation , mathematics , crank–nicolson method , convergence (economics) , scheme (mathematics) , finite difference method , finite difference scheme , finite difference , conservation law , boundary value problem , order (exchange) , mathematical analysis , physics , finance , quantum mechanics , nonlinear system , economics , economic growth

A conservative Crank-Nicolson finite difference scheme for the initial-boundaryvalue problem of generalized Rosenau-KdV equation is proposed. The difference schemeshows a discrete analogue of the main conservation law associated to the equation. On the otherhand the scheme is implicit and stable with second order convergence. Numerical experimentsverify the theoretical results

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