一类二维对偶积分方程的解及其应用

范天佑; 孙竹凤

一类二维对偶积分方程的解及其应用

北京理工大学物理系北京 100081

基金项目: 国家自然科学基金资助项目(K19672007)

详细信息

作者简介:
范天佑(1939- ),男,江苏人,教授(联系人.E-mail:litongtzb@263.net)

中图分类号: O175.5
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- 被引次数: 0
出版历程
- 收稿日期: 2006-04-03
- 修回日期: 2006-11-30
- 刊出日期: 2007-02-15

A Class of Two-Dimensional Dual Integral Equations and Its Application

Department of Physics, Beijing Institute of Technology, Beijing 100081, P. R. China

摘要

摘要: 二维对偶积分方程的理论与方法，在数学上尚未建立，因而完全的分析解不可能得到，从而使一些力学、物理与工程问题无法求解．利用双重展开和边界配置方法,得到了在数学和物理学上有着广泛应用的一类二维对偶积分方程的解答．把二维对偶积分方程化简成无限代数方程组，此方法的精确度取决于计算点的配置（即所谓边界配置）．通过对固体力学中某些复杂的初值-边值问题的应用说明此是方法有效的．
- 二维对偶积分方程 /
- 二重展开 /
- 边界配置
Abstract: Because exact analytic solution was not available,the double expansion and boundary collocation were used to construct an approximate solution for a class of two-dimensional dual integral equations in mathematical physics.The integral equations by this pr ocedure were reduced to infinite algebraic equations.The a ccuracy of the solution lies in the boundary collocation technique.The application of which for some complicated initial-boundary value problems in solidme chanics indicates the method is powerful.
- two-dimensional dual integral equations /
- double expansion /
- boundary collocation

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参考文献(14)

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