Two Conservative Difference Schemes for Rosenau-Kawahara Equation | Zendy

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

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Two Conservative Difference Schemes for Rosenau-Kawahara Equation

Author(s) -

Jinsong Hu,

Youcai Xu,

Bing Hu,

Xiaoping Xie

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 - 10.1155/2014/217393

Subject(s) - mathematics , uniqueness , finite difference method , finite difference , convergence (economics) , finite difference coefficient , significant difference , finite difference scheme , mathematical analysis , central differencing scheme , order (exchange) , finite element method , mathematical optimization , mixed finite element method , physics , statistics , finance , economics , thermodynamics , economic growth

Two conservative finite difference schemes for the numerical solution of the initialboundary value problem of Rosenau-Kawahara equation are proposed. The difference schemes simulate two conservative quantities of the problem well. The existence and uniqueness of the difference solution are proved. It is shown that the finite difference schemes are of second-order convergence and unconditionally stable. Numerical experiments verify the theoretical results

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