Journal of applied mathematics & informatics

The Korean Society for Computational and Applied Mathematics (한국전산응용수학회)
권호 표지

SECOND ORDER GENERALIZED DIFFERENCE METHODS OR ONE DIMENSIONAL PARABOLIC EQUATIONS

  • Jiang, Ziwen (Deparment of mathematics Shandong Normal University) ;
  • Sun, Jian (Deparment of mathematics Shandong Normal University)
  • Published : 1999.03.01

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Abstract

In this paper the second order semi-discrete and full dis-crete generalized difference schemes for one dimensional parabolic equa-tions are constructed and the optimal order $H^1$ , $L^2$ error estimates and superconvergence results in TEX>$H^1$ are obtained. The results in this paper perfect the theory of generalized difference methods.

Keywords

References

  1. J. Eng. Math. Optimal L² estimate for second order GDM on two-point boundary value problems Z.Jiang;J.Sun
  2. Shandong Science v.11 no.2 L² estimates of third order generalized difference methods for one dimensional parabolic equations (Chinese) Z.Jiang;J.Sun;H.Chen
  3. proceedings of the symposium on the finite element method between China and France On generalized difference method for elliptic and parabolic differential equations R.Li;Feng Kang(ed.);J.L.Lions(ed.)
  4. The generalized difference method for differential equations(Chinese) R.Li;Z.Chen
  5. Chinese Annals of Mathematics v.5A no.3 The generalized difference method for one dimensional second order elliptic and parabolic equations(Chinese) W.Wu;R.Li