Conservative Linear Difference Scheme for Rosenau-KdV Equation | Zendy

Jinsong Hu | Zendy; Youcai Xu | Zendy; Bing Hu | Zendy

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Conservative Linear Difference Scheme for Rosenau-KdV Equation

Author(s) -

Jinsong Hu,

Youcai Xu,

Bing Hu

Publication year - 2013

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 - 10.1155/2013/423718

Subject(s) - mathematics , uniqueness , finite difference method , korteweg–de vries equation , central differencing scheme , convergence (economics) , finite difference , finite difference scheme , finite difference coefficient , scheme (mathematics) , mathematical analysis , boundary value problem , finite element method , mixed finite element method , nonlinear system , physics , quantum mechanics , economics , thermodynamics , economic growth

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

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