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.
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页码：1302 / 1314
页数：13
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