Volume 17, Issue 1
The Boundary Integro-Differential Equations of a Biharmonic Boundary Value Problem

Hou-De Han & Wei-Jun Tang

J. Comp. Math., 17 (1999), pp. 59-72.

Published online: 1999-02

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  • Abstract

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.  

  • Keywords

Boundary integro-differential equations, Biharmonic boundary value problem.

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COPYRIGHT: © Global Science Press

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@Article{JCM-17-59, author = {Han , Hou-De and Tang , Wei-Jun}, title = {The Boundary Integro-Differential Equations of a Biharmonic Boundary Value Problem}, journal = {Journal of Computational Mathematics}, year = {1999}, volume = {17}, number = {1}, pages = {59--72}, abstract = {

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.  

}, issn = {1991-7139}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/jcm/9082.html} }
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 -

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.  

Hou-De Han & Wei-Jun Tang. (1970). The Boundary Integro-Differential Equations of a Biharmonic Boundary Value Problem. Journal of Computational Mathematics. 17 (1). 59-72. doi:
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