High-order-accurate discretization stencil for an elliptic equation

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10 Scopus citations


The coefficients for a nine-point high-order-accurate discretization scheme for an elliptic equation ▽2u - y2u = r0 (▽2 is the two-dimensional Laplacian operator) are derived. Examples with Dirichlet and Neumann boundary condtions are considered. In order to demonstrate the high-order accuracy of the method, numerical results are compared with exact solutions.

Original languageEnglish
Pages (from-to)367-377
Number of pages11
JournalInternational Journal for Numerical Methods in Fluids
Issue number4
StatePublished - 30 Aug 1996


  • Discretization
  • Duct flow
  • High-order accuracy

ASJC Scopus subject areas

  • Computational Mechanics
  • Mechanics of Materials
  • Mechanical Engineering
  • Computer Science Applications
  • Applied Mathematics


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