Determining surface temperature and heat flux by a wavelet dual least squares method

被引：10
|
作者：
Xiong, Xiang-Tuan [1 ]
Fu, Chu-Li [1 ]
机构：
[1] Lanzhou Univ, Dept Math, Lanzhou 730000, Peoples R China
来源：
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS | 2007年 / 201卷 / 01期
基金：
中国国家自然科学基金;
关键词：
ill-posed problems; sideways parabolic equation; dual least squares method; Meyer wavelets; regularization;
D O I：
10.1016/j.cam.2006.02.014
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We apply a wavelet dual least squares method to a general sideways parabolic equation for determining surface temperature and surface heat flux. Connecting Meyer wavelet bases with a special project method dual least squares method, we can obtain a regularized solution. Meanwhile, order optimal error estimates between the approximate solution and exact solution are proved. (c) 2006 Elsevier B.V. All rights reserved.
引用
收藏
页码：198 / 207
页数：10
相关论文
共 50 条
  • [1] Determining an unknown source in the heat equation by a wavelet dual least squares method
    Dou, Fang-Fang
    Fu, Chu-Li
    APPLIED MATHEMATICS LETTERS, 2009, 22 (05) : 661 - 667
  • [2] 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
  • [3] Solving the Axisymmetric Inverse Heat Conduction Problem by a Wavelet Dual Least Squares Method
    Cheng, Wei
    Fu, Chu-Li
    BOUNDARY VALUE PROBLEMS, 2009,
  • [4] Solving the Axisymmetric Inverse Heat Conduction Problem by a Wavelet Dual Least Squares Method
    Wei Cheng
    Chu-Li Fu
    Boundary Value Problems, 2009
  • [5] Computational method for Moving Least Squares Particles Hydrodynamics with artificial heat flux
    Graduate School, China Academy of Engineering Physics, Beijing 100088, China
    不详
    Jisuan Lixue Xuebao/Chinese Journal of Computational Mechanics, 2007, 24 (04): : 482 - 485
  • [6] A modified method for determining the surface heat flux of IHCP
    Qian, Z.
    Fu, C.-L.
    Xiong, X.-T.
    INVERSE PROBLEMS IN SCIENCE AND ENGINEERING, 2007, 15 (03) : 249 - 265
  • [7] A DESIGN OF DUAL-TREE COMPLEX WAVELET TRANSFORM BASED ON LEAST SQUARES METHOD
    Shimizu, Takafumi
    Kyochi, Seisuke
    Ikehara, Masaaki
    2009 IEEE 13TH DIGITAL SIGNAL PROCESSING WORKSHOP & 5TH IEEE PROCESSING EDUCATION WORKSHOP, VOLS 1 AND 2, PROCEEDINGS, 2009, : 576 - 581
  • [8] Determining the least upper bound for errors of the least squares method
    Repin, VG
    Tsyplikhin, AI
    JOURNAL OF COMMUNICATIONS TECHNOLOGY AND ELECTRONICS, 2003, 48 (01) : 82 - 90
  • [9] Fourier regularization method of a sideways heat equation for determining surface heat flux
    Xiong, XT
    Fu, CL
    Li, HF
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2006, 317 (01) : 331 - 348
  • [10] Least-squares wavelet kernel method for regression estimation
    Wen, XJ
    Xu, XM
    Cai, YZ
    ADVANCES IN NATURAL COMPUTATION, PT 1, PROCEEDINGS, 2005, 3610 : 582 - 591
12345