Combined compact difference scheme for linear second-order partial differential equations with mixed derivative

نویسندگان

  • Spike T. Lee
  • Jun Liu
  • Hai-Wei Sun
چکیده

A combined compact difference scheme is proposed for linear second-order partial differential equations with mixed derivative. The scheme is based on a nine-point stencil at interior with sixth-order accurate local truncation error. Fourier analysis is used to analyze the spectral resolution of the proposed scheme. Numerical tests demonstrate at least sixth-order convergence rate with Dirichlet boundary condition and fifth-order with Robin boundary condition. A bonus is that high Reynolds numbers do not interfere with the order of accuracy.

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عنوان ژورنال:
  • J. Computational Applied Mathematics

دوره 264  شماره 

صفحات  -

تاریخ انتشار 2014