Explicit Multistep Mixed Finite Element Method for RLW Equation | Zendy

Yang Liu | Zendy; Hong Li | Zendy; Yanwei Du | Zendy; Jinfeng Wang | Zendy

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Explicit Multistep Mixed Finite Element Method for RLW Equation

Author(s) -

Yang Liu,

Hong Li,

Yanwei Du,

Jinfeng Wang

Publication year - 2013

Publication title -

abstract and applied analysis

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.228

H-Index - 56

eISSN - 1687-0409

pISSN - 1085-3375

DOI - 10.1155/2013/768976

Subject(s) - mathematics , discretization , finite element method , matrix (chemical analysis) , mathematical analysis , space (punctuation) , path (computing) , combinatorics , geometry , physics , chemistry , computer science , chromatography , thermodynamics , programming language , operating system

An explicit multistep mixed finite element method is proposed and discussed for regularized long wave (RLW) equation. The spatial direction is approximated by the mixed Galerkin method using mixed linear space finite elements, and the time direction is discretized by the explicit multistep method. The optimal error estimates in and norms for the scalar unknown and its flux based on time explicit multistep method are derived. Some numerical results are given to verify our theoretical analysis and illustrate the efficiency of our method

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