Laguerre polynomials and the inverse Laplace transform using discrete data

被引：4

作者：

Lien, Tran Ngoc ^{[2
]}

Trong, Dang Duc ^{[3
]}

Dinh, Alain Pham Ngoc ^{[1
]}

机构：

[1] Univ Orleans, Mapmo UMR 6628, F-45067 Orleans, France

[2] Cantho Univ, Fac Sci, Can Tho, Vietnam

[3] Hochiminh City Natl Univ, Dept Math & Comp Sci, Ho Chi Minh City, Vietnam

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2008年 / 337卷 / 02期

关键词：

inverse laplace transform; Laguerre polynomials; Lagrange polynomials; ill-posed problem; regularization;

D O I：

10.1016/j.jmaa.2007.04.066

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider the problem of finding a function defined on (0, infinity) from a countable set of values of its Laplace transform. The problem is severely ill-posed. We shall use the expansion of the function in a series of Laguerre polynomials to convert the problem in an analytic interpolation problem. Then, using the coefficients of Lagrange polynomials we shall construct a stable approximation solution. Error estimate is given. Numerical results are produced. (c) 2007 Elsevier Inc. All rights reserved.

引用

页码：1302 / 1314

页数：13

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