A COLLOCATION METHOD FOR BIHARMONIC EQUATION

  • Received : 1996.06.30
  • Published : 1996.06.30

Abstract

An $O(h^4)$ cubic spline collocation method for biharmonic equation with a special boundary conditions is formulated and a fast direct method is proposed for the linear system arising when the cubic spline collocation method is employed. This method requires $O(N^2\;{\log}\;N)$ arithmatic operations over an $N{\times}N$ uniform partition.

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Acknowledgement

Supported by : Chungnam National University