Journal of applied mathematics & informatics

The Korean Society for Computational and Applied Mathematics (한국전산응용수학회)
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A SIXTH-ORDER OPTIMAL COLLOCATION METHOD FOR ELLIPTIC PROBLEMS

  • Hong, Bum-Il (Department of Mathematics and Institute of Natural Science Kyung Hee University) ;
  • Ha, Sung-Nam (Department of Mathematics and Institute of Natural Science Kyung Hee University) ;
  • Hahm, Nahm-Woo (Department of Mathematics and Institute of Natural Science Kyung Hee University)
  • Published : 1999.06.01

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Abstract

In this paper we present a collocation method based on biquintic splines for a fourth order elliptic problems. To have a better accuracy we formulate the standard collocation method by an appro-priate perturbation on the original differential equations that leads to an optimal approximating scheme. As a result computational results confirm that this method is optimal.

Keywords

References

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