Wavelet Numerical Solutions for Weakly Singular Fredholm Integral Equations of the Second Kind

被引：2

作者：

TANG XinjianPANG ZhichengZHU TonglinLIU Jian Institute of Patters Recognition and Artificial IntelligenceHuazhong University of Science and TechnologyWuhan HubeiChina Institute of Rock and Soil MechanicsChinese Academy of ScienceWuhan HubeiChina School of InformationSouth China Agricultural UniversityGuangzhou GuangdongChina ^{[1
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机构：

来源：

WuhanUniversityJournalofNaturalSciences | 2007年 / 03期

关键词：

weakly singular integral equations; interval wavelet; sparse matrix;

D O I：

暂无

中图分类号：

O174.2 [傅里叶分析（经典调和分析）];

学科分类号：

070104 ;

摘要：

Daubechies interval wavelet is used to solve numerically weakly singular Fredholm integral equations of the second kind. Utilizing the orthogonality of the wavelet basis,the integral equation is reduced into a linear system of equations. The vanishing moments of the wavelet make the wavelet coefficient matrices sparse,while the continuity of the derivative functions of basis overcomes naturally the singular problem of the integral solution. The uniform convergence of the approximate solution by the wavelet method is proved and the error bound is given. Finally,numerical example is presented to show the application of the wavelet method.

引用

页码：437 / 441

页数：5