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带变系数的第二类奇异积分方程的Galerkin解法

韩惠丽 龚亚方

数学杂志2003,Vol.23Issue(3):257-262,6.
数学杂志2003,Vol.23Issue(3):257-262,6.

带变系数的第二类奇异积分方程的Galerkin解法

GALERKIN METHOD FOR SINGULAR INTEGRAL EQUATIONS OF THE SECOND KIND WITH VARIABLE COEFFICIENTS

韩惠丽 1龚亚方1

作者信息

  • 1. 武汉大学数学统计学院,武汉,430072
  • 折叠

摘要

Abstract

Based on the approximation of the unknown function by a finite series of appropriate orthogonal polynomials, Galerkin solution of singular integral equations of the second kind with variable coefficients is discussed, the existence and uniqueness of the approximating solution is proved, the error estimates under the weighted L2 norm and uniform norm are given out.

关键词

奇异积分方程/Galerkin方法/指标

Key words

Singular integral equation/Galerkin method/index

分类

数理科学

引用本文复制引用

韩惠丽,龚亚方..带变系数的第二类奇异积分方程的Galerkin解法[J].数学杂志,2003,23(3):257-262,6.

基金项目

Supported by the Science Foundation of SEC of China (TY10126028). (TY10126028)

数学杂志

OA北大核心CSCDCSTPCD

0255-7797

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