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Explicit Multistep Mixed Finite Element Method for RLW Equation

Author

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  • Yang Liu
  • Hong Li
  • Yanwei Du
  • Jinfeng Wang

Abstract

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.

Suggested Citation

  • Yang Liu & Hong Li & Yanwei Du & Jinfeng Wang, 2013. "Explicit Multistep Mixed Finite Element Method for RLW Equation," Abstract and Applied Analysis, Hindawi, vol. 2013, pages 1-12, May.
    • Handle: RePEc:hin:jnlaaa:768976
    DOI: 10.1155/2013/768976
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    Cited by:

    1. Néstor García-Chan & Juan A. Licea-Salazar & Luis G. Gutierrez-Ibarra, 2023. "Urban Heat Island Dynamics in an Urban–Rural Domain with Variable Porosity: Numerical Methodology and Simulation," Mathematics, MDPI, vol. 11(5), pages 1-18, February.
    2. Sun, Lingling & Yang, Yidu, 2022. "The a posteriori error estimates and adaptive computation of nonconforming mixed finite elements for the Stokes eigenvalue problem," Applied Mathematics and Computation, Elsevier, vol. 421(C).

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