Determination of a control parameter in a one-dimensional parabolic equation using the moving least-square approximation

被引：11
作者：
Cheng, Rongjun [1 ]
机构：
[1] Zhejiang Univ, Dept Fundamental Course, Ningbo Inst Technol, Ningbo 315100, Zhejiang, Peoples R China
来源：
INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS | 2008年 / 85卷 / 09期
关键词：
moving least-square approximation; meshless method; parabolic equation; overspecification; inverse problem;
D O I：
10.1080/00207160701481429
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper the approximation of moving least-square (MLS) is used for finding the solution of a one-dimensional parabolic inverse problem with source control parameter. Comparing with other numerical methods based on meshes such as finite difference method, finite element method and boundary element method, etc. the MLS approximation has merits of simpler numerical procedures, lower computation cost and arbitrary nodes. The result of a numerical example is presented.
引用
收藏
页码：1363 / 1373
页数：11
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