A numerical method for solving the inverse heat conduction problem without initial value

被引：38
作者：
Wang, Y. B. [2 ,3 ]
Cheng, J. [2 ,3 ]
Nakagawa, J.
Yamamoto, M. [1 ]
机构：
[1] Univ Tokyo, Grad Sch Math Sci, 3-8-1 Komaba, Tokyo 1538914, Japan
[2] Fudan Univ, Key Lab Computat Phys Sci, Minist Educ, Shanghai 200433, Peoples R China
[3] Shanghai Normal Univ, Sci Comp Key Lab Shanghai Univ, Shanghai Univ E Inst, Div Computat Sci, Shanghai 200234, Peoples R China
来源：
INVERSE PROBLEMS IN SCIENCE AND ENGINEERING | 2010年 / 18卷 / 05期
关键词：
inverse heat conduction problem; truncated Fourier series; numerical reconstruction; RECONSTRUCTION; APPROXIMATION; EQUATION;
D O I：
10.1080/17415971003698615
中图分类号：
T [工业技术];
学科分类号：
08 ;
摘要：
We consider the inverse heat conduction problem for the one-dimensional heat equation, where we are requested to determine a boundary value at one end of a spatial interval over a time interval and an initial value by means of Cauchy data at another end. By the existing theory we can prove the uniqueness in determining both a boundary value and an initial value, and our method does not require any initial value. We test our numerical method and show stable numerical reconstruction.
引用
收藏
页码：655 / 671
页数：17
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