Finite volume method for solving a one-dimensional parabolic inverse problem

被引：14
|
作者：
Wang, Bo [1 ,2 ]
Zou, Guang-an [2 ]
Zhao, Peng [2 ]
Wang, Qiang [3 ,4 ]
机构：
[1] Henan Univ, Inst Appl Math, Kaifeng 475004, Peoples R China
[2] Henan Univ, Coll Math & Informat Sci, Kaifeng 475004, Peoples R China
[3] Tianjin Univ, Coll Mech Engn, Tianjin 300072, Peoples R China
[4] Tianjin Univ, Dept Math, Tianjin 300072, Peoples R China
来源：
APPLIED MATHEMATICS AND COMPUTATION | 2011年 / 217卷 / 12期
基金：
中国国家自然科学基金;
关键词：
Parabolic partial differential equations; Inverse problem; Finite volume method; Difference schemes; HEAT-CONDUCTION PROBLEM; PARTIAL-DIFFERENTIAL-EQUATION; NUMERICAL-SOLUTION; CONTROL PARAMETER; SUBJECT;
D O I：
10.1016/j.amc.2010.09.032
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, finite volume method is used to solve a one-dimensional parabolic inverse problem with source term and Neumann boundary conditions for the first time. Some advantages of this approach are developing difference schemes and maintaining certain properties of the physics of the problems, especially for the treatment of the source term and the unknown boundary conditions. Numerical results show that our method is more effective. (C) 2010 Elsevier Inc. All rights reserved.
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页码：5227 / 5235
页数：9
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