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Three different methods for numerical solution of the EW equation

Engineering Analysis with Boundary Elements, ISSN: 0955-7997, Vol: 32, Issue: 7, Page: 556-566
2008
  • 35
    Citations
  • 0
    Usage
  • 9
    Captures
  • 0
    Mentions
  • 0
    Social Media
Metric Options:   Counts1 Year3 Year

Metrics Details

  • Citations
    35
    • Citation Indexes
      35
  • Captures
    9

Article Description

Numerical solutions of the equal width wave (EW) equation are obtained by using a Galerkin method with quartic B-spline finite elements, a differential quadrature method with cosine expansion basis and a meshless method with radial-basis functions. Solitary wave motion, interaction of two solitary waves and wave undulation are studied to validate the accuracy and efficiency of the proposed methods. Comparisons are made with analytical solutions and those of some earlier papers. The accuracy and efficiency are discussed by computing the numerical conserved laws and L2, L∞ error norms.

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