Numerical solutions of linear ill-posed problems

被引：1

作者：

Iqbal, M ^{[1
]}

机构：

[1] King Fahd Univ Petr & Minerals, Dept Math Sci, Dhahran 31261, Saudi Arabia

来源：

INTEGRAL TRANSFORMS AND SPECIAL FUNCTIONS | 2005年 / 16卷 / 01期

关键词：

Mellin transform; Laguerre polynomials; ill-posed problems; regularization; cross-validation method; stabilizing functional; filter function; influence matrix; convergence;

D O I：

10.1080/1065246042000271992

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, a method is described for inverting the Mellin transform which uses an expansion in Laguerre polynomials and converts Mellin transform to Laplace transform, then a regularization method is used to recover the original function of the Mellin transform. The performance of the method is illustrated by the inversion of the test functions available in the literature. Results are shown in the table.

引用

页码：29 / 37

页数：9

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