Journal of applied mathematics & informatics

  • 제6권2호
  • /
  • Pages.513-522
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  • 1999
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  • 2734-1194(pISSN)
  • /
  • 2234-8417(eISSN)
한국전산응용수학회 (The Korean Society for Computational and Applied Mathematics)
권호 표지

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)
  • 발행 : 1999.06.01

⟨ 이전 논문 다음 논문 ⟩

초록

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.

키워드

참고문헌

  1. Math. Comp. v.29 A Collocation Method for Two-Point Boundary Value Problems J.H.Ahlberg;T.A.Ito
  2. Applied Mathematics Sciences A Practical Guide to Spline C.de Boor
  3. J. Inst. Math. Appl. v.16 Extrapolated Collocation for Two-Point Boundary Value Problems Using Cubic Spliness J.W.Daniel;B.K.Swartz
  4. J. Inst. Math. Appl. v.7 Linear Dependence Relations Connecting Equral Interval N th Degree Splines and their Derivatives D.J.Fyfe
  5. Computer Journal v.12 The Use of Cubic Splines in the Solution of Certain Fourth Order Boundary Value Problems D.J.Fyfe
  6. Int. J. for Num. Methods in Engineering v.26 Quadratic Spline Collocation Methods for Two-Point Boundary Value Problems E.N.Houstis;C.C.Christara;J.R.Rice
  7. SIAM J. Numer. Anal. v.19 Asymptotic Expansions for Interpolating Periodic Splines T.R.Lucas
  8. Numer. Math. v.6 Direct Solution of Partial Differential Equations by Tensor Product Methods R.E.Lynch;J.R.Rice;D.H.Thomas
  9. Numer. Math. v.19 A Collocation Method for Boundary Value Problems R.D.Russell;L.F.Shampine