Singularity Preserving Petrov-Galerkin Methods for Weakly Singular Integral Equations

ZHANG Yong-dong; GHEN Zhong-ying

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Singularity Preserving Petrov-Galerkin Methods for Weakly Singular Integral Equations

更新时间：2023-12-11

- Singularity Preserving Petrov-Galerkin Methods for Weakly Singular Integral Equations
- Acta Scientiarum Naturalium Universitatis SunYatseni Vol. 40, Issue 1, Pages: 9-12(2001)
- 作者机构：
  
  1. 中山大学数学与计算科学学院
  2. 中山大学数学与计算科学学院,广东,广州,510275
  3. ,广东,广州,510275
- 作者简介：
- 基金信息：
- DOI：
  CLC：
- Published：2001，
  
  Published Online：25 January 2001，
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ZHANG Yong-dong, GHEN Zhong-ying. Singularity Preserving Petrov-Galerkin Methods for Weakly Singular Integral Equations. [J]. Acta Scientiarum Naturalium Universitatis SunYatseni 40(1):9-12(2001)
DOI：

ZHANG Yong-dong, GHEN Zhong-ying. Singularity Preserving Petrov-Galerkin Methods for Weakly Singular Integral Equations. [J]. Acta Scientiarum Naturalium Universitatis SunYatseni 40(1):9-12(2001) DOI：

摘要

提出解弱奇性第二类积分方程的保奇性Ｐｅｔｒｏｖ－Ｇａｌｅｒｋｉｎ方法，给出了数值解的误差估计，证明其具有最佳收敛阶，同时证明了保奇性迭代Ｐｅｔｒｏｖ－Ｇａｌｅｒｋｉｎ方法的超收敛性．

Abstract

Singularlity preserving Petrov-Galerkin methods are developed for the second kind integrat equations with weakly singular kernels. The numerical analysis is given

and the order of convergence achieves the optimal rate.

关键词

弱奇性积分方程保奇性方法Petrov-Galerkin方法

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