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Numerical Method for Solving Nonhomogeneous Backward Heat Conduction Problem
Joint Authors
Source
International Journal of Differential Equations
Issue
Vol. 2018, Issue 2018 (31 Dec. 2018), pp.1-11, 11 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2018-12-02
Country of Publication
Egypt
No. of Pages
11
Main Subjects
Abstract EN
In this paper we consider a numerical method for solving nonhomogeneous backward heat conduction problem.
Coupled with the likewise Crank Nicolson scheme and an intermediate variable, the backward problem is transformed to a nonhomogeneous Helmholtz type problem; the unknown initial temperature can be obtained by solving this Helmholtz type problem.
To illustrate the effectiveness and accuracy of the proposed method, we solve several problems in both two and three dimensions.
The results show that this numerical method can solve nonhomogeneous backward heat conduction problem effectively and precisely, even though the final temperature is disturbed by significant noise.
American Psychological Association (APA)
Su, Lingde& Jiang, Tongsong. 2018. Numerical Method for Solving Nonhomogeneous Backward Heat Conduction Problem. International Journal of Differential Equations،Vol. 2018, no. 2018, pp.1-11.
https://search.emarefa.net/detail/BIM-1170744
Modern Language Association (MLA)
Su, Lingde& Jiang, Tongsong. Numerical Method for Solving Nonhomogeneous Backward Heat Conduction Problem. International Journal of Differential Equations No. 2018 (2018), pp.1-11.
https://search.emarefa.net/detail/BIM-1170744
American Medical Association (AMA)
Su, Lingde& Jiang, Tongsong. Numerical Method for Solving Nonhomogeneous Backward Heat Conduction Problem. International Journal of Differential Equations. 2018. Vol. 2018, no. 2018, pp.1-11.
https://search.emarefa.net/detail/BIM-1170744
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1170744