Numerical Solution of the Inverse Problem of Determining an Unknown Source Term in a Heat Equation
Joint Authors
Source
Journal of Applied Mathematics
Issue
Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-9, 9 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2012-07-01
Country of Publication
Egypt
No. of Pages
9
Main Subjects
Abstract EN
This paper investigates the inverse problem of determining a heat source in the parabolic heat equation using the usual conditions.
Firstly, the problem is reduced to an equivalent problem which is easy to handle using variational iteration method.
Secondly, variational iteration method is used to solve the reduced problem.
Using this method a rapid convergent sequence can be produced which tends to the exact solution of the problem.
Furthermore, variational iteration method does not require the discretization of the problem.
Two numerical examples are presented to illustrate the strength of the method.
American Psychological Association (APA)
Li, Xiuming& Qian, S. P.. 2012. Numerical Solution of the Inverse Problem of Determining an Unknown Source Term in a Heat Equation. Journal of Applied Mathematics،Vol. 2012, no. 2012, pp.1-9.
https://search.emarefa.net/detail/BIM-1028850
Modern Language Association (MLA)
Li, Xiuming& Qian, S. P.. Numerical Solution of the Inverse Problem of Determining an Unknown Source Term in a Heat Equation. Journal of Applied Mathematics No. 2012 (2012), pp.1-9.
https://search.emarefa.net/detail/BIM-1028850
American Medical Association (AMA)
Li, Xiuming& Qian, S. P.. Numerical Solution of the Inverse Problem of Determining an Unknown Source Term in a Heat Equation. Journal of Applied Mathematics. 2012. Vol. 2012, no. 2012, pp.1-9.
https://search.emarefa.net/detail/BIM-1028850
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1028850