Advertisement

Applied Mathematics and Mechanics

, Volume 12, Issue 9, pp 891–905 | Cite as

A coupling method of difference with high order accuracy and boundary integral equation for evolutionary equation and its error estimates

  • Yang Dan-ping
Article
  • 16 Downloads

Abstract

In the present paper, a new numerical method for solving initial-boundary value problems of evolutionary equations is proposed and studied, combining difference method with high accuracy with boundary integral equation method. The numerical approximate schemes for both problems on a bounded or unbounded domain in R3 are proposed and their prior error estimates are obtained.

Key words

difference with high order accuracy boundary finite element evolutionary equation error estimates 

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. [1]
    Yang Dan-ping, A coupling method of difference and boundary finite element for initial boundary value problem of non-linear parabolic equation and its error estimates. (to appear)Google Scholar
  2. [2]
    Lions, J. L. and E. Magenes,Non-Homogeneous Boundary Value Problems and Applications, I, Springer-Verlag, New York, Heidelberg, Berlin (1973)Google Scholar
  3. [3]
    Adams, R. A.,Sobolev Spaces, Acad. Press, New York (1975).Google Scholar

Copyright information

© Shanghai University of Technology (SUT) 1991

Authors and Affiliations

  • Yang Dan-ping
    • 1
  1. 1.Institute of Mathematics of Shandong UniversityJinan

Personalised recommendations