TY - JOUR
T1 - The Boundary Integro-Differential Equations of a Biharmonic Boundary Value Problem
AU - Han , Hou-De
AU - Tang , Wei-Jun
JO - Journal of Computational Mathematics
VL - 1
SP - 59
EP - 72
PY - 1999
DA - 1999/02
SN - 17
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/jcm/9082.html
KW - Boundary integro-differential equations, Biharmonic boundary value problem.
AB - <p style="text-align: justify;">In this paper, a new method of boundary reduction is proposed, which reduces the biharmonic boundary value problem to a system of integro-differential equations on the boundary and preserves the self-adjointness of the original problem. Moreover, a boundary finite element method based on this integro-differential equations is presented and the error estimates of the numerical approximations are given. The numerical examples show that this new method is effective. &nbsp;</p>