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Numerical simulation of the modified regularized long wave equation by split least-squares mixed finite element method

Author

Listed:
  • Gao, Fuzheng
  • Qiao, Feng
  • Rui, Hongxing

Abstract

A kind of modified regularized long wave (MRLW) equation, with some initial conditions, is solved numerically by a split least-squares mixed element method (SLSMEM), which can be split into two independent symmetric positive definite sub-schemes and solved separately. This method is useful for obtaining numerical solutions with high degree of accuracy. Numerical examples show that the SLSMEM satisfies conservation laws.

Suggested Citation

  • Gao, Fuzheng & Qiao, Feng & Rui, Hongxing, 2015. "Numerical simulation of the modified regularized long wave equation by split least-squares mixed finite element method," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 109(C), pages 64-73.
    • Handle: RePEc:eee:matcom:v:109:y:2015:i:c:p:64-73
    DOI: 10.1016/j.matcom.2014.06.005
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    References listed on IDEAS

    as
    1. Soliman, A.A., 2005. "Numerical simulation of the generalized regularized long wave equation by He’s variational iteration method," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 70(2), pages 119-124.
    2. Gao, Fuzheng & Rui, Hongxing, 2009. "A split least-squares characteristic mixed finite element method for Sobolev equations with convection term," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 80(2), pages 341-351.
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