A spectral method for an axisymmetric backward heat equation

被引：13
|
作者：
Cheng, Wei [2 ]
Fu, Chu-Li [1 ]
机构：
[1] Lanzhou Univ, Sch Math & Stat, Lanzhou 730000, Peoples R China
[2] Henan Univ Technol, Coll Sci, Zhengzhou 450001, Peoples R China
来源：
INVERSE PROBLEMS IN SCIENCE AND ENGINEERING | 2009年 / 17卷 / 08期
基金：
中国国家自然科学基金;
关键词：
ill-posed problem; axisymmetric backward heat equation; spectral method; error estimate; REGULARIZATION;
D O I：
10.1080/17415970903063193
中图分类号：
T [工业技术];
学科分类号：
08 ;
摘要：
We consider the inverse time problem for an axisymmetric heat equation. The problem is ill-posed: the solution (if it exists) does not depend continuously on the final data. A spectral method is applied to formulate a regularized solution and some quite sharp error estimates for the regularized solution are given with suitable choices of regularization parameters.
引用
收藏
页码：1085 / 1093
页数：9
相关论文
共 50 条
  • [31] Error estimates on a backward heat equation by a wavelet dual least squares method
    Xiong, Xiang-Tuan
    Fu, Chu-Li
    INTERNATIONAL JOURNAL OF WAVELETS MULTIRESOLUTION AND INFORMATION PROCESSING, 2007, 5 (03) : 389 - 397
  • [32] A finite element method and variable transformations for a forward-backward heat equation
    Hao Lu
    Joseph Maubach
    Numerische Mathematik, 1998, 81 : 249 - 272
  • [33] DISCONTINUOUS GALERKIN FINITE ELEMENT METHOD FOR A FORWARD-BACKWARD HEAT EQUATION
    Li Hong Wei XiaoxiDept.of Math.
    AppliedMathematics:AJournalofChineseUniversities, 2005, (01) : 97 - 104
  • [34] A finite element method and variable transformations for a forward-backward heat equation
    Lu, H
    Maubach, J
    NUMERISCHE MATHEMATIK, 1998, 81 (02) : 249 - 272
  • [35] Discontinuous galerkin finite element method for a forward-backward heat equation
    Li H.
    Wei X.
    Applied Mathematics-A Journal of Chinese Universities, 2005, 20 (1) : 97 - 104
  • [36] MORTAR SPECTRAL METHOD IN AXISYMMETRIC DOMAINS
    Aouadi, Saloua Mani
    Satouri, Jamil
    ESAIM-MATHEMATICAL MODELLING AND NUMERICAL ANALYSIS-MODELISATION MATHEMATIQUE ET ANALYSE NUMERIQUE, 2013, 47 (01): : 33 - 55
  • [37] Predicting radiative heat transfer in axisymmetric cylindrical enclosures using the collocation spectral method
    Zhou, Rui-Rui
    Li, Ben-Wen
    Sun, Ya-Song
    INTERNATIONAL COMMUNICATIONS IN HEAT AND MASS TRANSFER, 2020, 117 (117)
  • [38] On the Stability of a Forward-Backward Heat Equation
    Boulton, Lyonell
    Marletta, Marco
    Rule, David
    INTEGRAL EQUATIONS AND OPERATOR THEORY, 2012, 73 (02) : 195 - 216
  • [39] Solution of a forward-backward heat equation
    Lu, H.
    Wen, Z.-Y.
    Zeitschrift fuer Angewandte Mathematik und Mechanik, ZAMM, Applied Mathematics and Mechanics, 76 (Suppl 1):
  • [40] REGULARIZATION OF THE BACKWARD HEAT EQUATION VIA HEATLETS
    Hetrick, Beth Marie Campbell
    Hughes, Rhonda
    McNabb, Emily
    ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2008,
12345