An Average Linear Difference Scheme for the Generalized Rosenau-KdV Equation | Zendy

Maobo Zheng | Zendy; Jun Zhou | Zendy

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An Average Linear Difference Scheme for the Generalized Rosenau-KdV Equation

Author(s) -

Maobo Zheng,

Jun Zhou

Publication year - 2014

Publication title -

journal of applied mathematics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.307

H-Index - 43

eISSN - 1687-0042

pISSN - 1110-757X

DOI - 10.1155/2014/202793

Subject(s) - mathematics , korteweg–de vries equation , uniqueness , finite difference method , finite difference , norm (philosophy) , finite difference scheme , boundary value problem , mathematical analysis , finite difference coefficient , numerical analysis , scheme (mathematics) , initial value problem , finite element method , mixed finite element method , nonlinear system , physics , quantum mechanics , political science , law , thermodynamics

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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