Journal of applied mathematics & informatics

The Korean Society for Computational and Applied Mathematics (한국전산응용수학회)
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L$\infty$ AND W1,$\infty$ ESTIMATES FOR SECOND ORDER GENERALIZD DIFFERENCE METHODS ON TWO-POINT BOUNDARY VALUE PROBLEMS

  • Jiang, Ziwen (Dept. of Mathematics Shandong Normal University)
  • Published : 1999.03.01

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Abstract

In this paper we consider the second order generalized difference scheme for the two-point boundary value problem and ob-tain optimal order error estimates in $L^\infty$ and $W^{1,\infty}$ The results in this paper perfect the theory of the second order generalized difference method.

Keywords

References

  1. High accuracy theory of finite element methods (Chinese) C.Chen;Y.Huang
  2. Acta Sci. Natur. Univ. Sunyatseni v.33 Second order generalized difference method for the two-point boundary value problem(Chinese) Z.Chen
  3. J. Eng. Math. Optimal L² estimate for second order GDM on two-point boundary value problems Z.Jiang;J.Sun
  4. The generalized difference method for differential equations(Chinese) R.Li;Z.Chen