Moving Least Squares Method for a One-Dimensional Parabolic Inverse Problem
This paper investigates the numerical solution of a class of one-dimensional inverse parabolic problems using the moving least squares approximation; the inverse problem is the determination of an unknown source term depending on time. The collocation method is used for solving the equation; some nu...
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| Format: | Article |
| Language: | English |
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Wiley
2014-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2014/686020 |
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| _version_ | 1832551715828662272 |
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| author | Baiyu Wang |
| author_facet | Baiyu Wang |
| author_sort | Baiyu Wang |
| collection | DOAJ |
| description | This paper investigates the numerical solution of a class of one-dimensional inverse parabolic problems using the moving least squares approximation; the inverse problem is the determination of an unknown source term depending on time. The collocation method is used for solving the equation; some numerical experiments are presented and discussed to illustrate the stability and high efficiency of the method. |
| format | Article |
| id | doaj-art-07cc1c344dd045bab25bd450a87731ed |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-07cc1c344dd045bab25bd450a87731ed2025-02-03T06:00:41ZengWileyAbstract and Applied Analysis1085-33751687-04092014-01-01201410.1155/2014/686020686020Moving Least Squares Method for a One-Dimensional Parabolic Inverse ProblemBaiyu Wang0College of Mathematics and Econometrics, Hunan University, Changsha, Hunan 410082, ChinaThis paper investigates the numerical solution of a class of one-dimensional inverse parabolic problems using the moving least squares approximation; the inverse problem is the determination of an unknown source term depending on time. The collocation method is used for solving the equation; some numerical experiments are presented and discussed to illustrate the stability and high efficiency of the method.http://dx.doi.org/10.1155/2014/686020 |
| spellingShingle | Baiyu Wang Moving Least Squares Method for a One-Dimensional Parabolic Inverse Problem Abstract and Applied Analysis |
| title | Moving Least Squares Method for a One-Dimensional Parabolic
Inverse Problem |
| title_full | Moving Least Squares Method for a One-Dimensional Parabolic
Inverse Problem |
| title_fullStr | Moving Least Squares Method for a One-Dimensional Parabolic
Inverse Problem |
| title_full_unstemmed | Moving Least Squares Method for a One-Dimensional Parabolic
Inverse Problem |
| title_short | Moving Least Squares Method for a One-Dimensional Parabolic
Inverse Problem |
| title_sort | moving least squares method for a one dimensional parabolic inverse problem |
| url | http://dx.doi.org/10.1155/2014/686020 |
| work_keys_str_mv | AT baiyuwang movingleastsquaresmethodforaonedimensionalparabolicinverseproblem |