On the Inverse Problem of the Fractional Heat-Like Partial Differential Equations : Determination of the Source Function
Joint Authors
Özkum, Gülcan
Korkmaz, Esra
Demir, Ali
Erman, Sertaç
Özgür, Berrak
Source
Advances in Mathematical Physics
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-8, 8 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-11-12
Country of Publication
Egypt
No. of Pages
8
Main Subjects
Abstract EN
The study in this paper mainly concerns the inverse problem of determining an unknown source function in the linear fractional differential equation with variable coefficient using Adomian decomposition method (ADM).
We apply ADM to determine the continuous right hand side functions fx and ft in the heat-like diffusion equations Dtαux,t=hxuxxx,t+fx and Dtαux,t=hxuxxx,t+ft, respectively.
The results reveal that ADM is very effective and simple for the inverse problem of determining the source function.
American Psychological Association (APA)
Özkum, Gülcan& Demir, Ali& Erman, Sertaç& Korkmaz, Esra& Özgür, Berrak. 2013. On the Inverse Problem of the Fractional Heat-Like Partial Differential Equations : Determination of the Source Function. Advances in Mathematical Physics،Vol. 2013, no. 2013, pp.1-8.
https://search.emarefa.net/detail/BIM-474596
Modern Language Association (MLA)
Özkum, Gülcan…[et al.]. On the Inverse Problem of the Fractional Heat-Like Partial Differential Equations : Determination of the Source Function. Advances in Mathematical Physics No. 2013 (2013), pp.1-8.
https://search.emarefa.net/detail/BIM-474596
American Medical Association (AMA)
Özkum, Gülcan& Demir, Ali& Erman, Sertaç& Korkmaz, Esra& Özgür, Berrak. On the Inverse Problem of the Fractional Heat-Like Partial Differential Equations : Determination of the Source Function. Advances in Mathematical Physics. 2013. Vol. 2013, no. 2013, pp.1-8.
https://search.emarefa.net/detail/BIM-474596
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-474596
