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Numerical Solution of Continuation Problem for 3D Steady-State Diffusion in Cylindrically Layered Medium
Joint Authors
Kulbay, Magira
Maussumbekova, Saule
Mukanova, Balgaisha
Source
Issue
Vol. 2015, Issue 2015 (31 Dec. 2015), pp.1-13, 13 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2015-09-10
Country of Publication
Egypt
No. of Pages
13
Main Subjects
Abstract EN
This work is based on the application of Fourier and quasi-solution methods for solving the continuation inverse problem for 3D steady-state diffusion model inside a cylindrical layered medium.
The diffusion coefficient is supposed to be a piecewise constant function, Cauchy data are given on the outer boundary of the cylinder, and we seek to recover the temperature at the inner boundary of the cylinder.
Numerical experiments are investigated and show the capacity of proposed method only for smooth boundary condition.
Under the suitable choice of regularization parameters we recover the distribution of temperature on the inner boundary with satisfactory quality for noisy data.
American Psychological Association (APA)
Kulbay, Magira& Maussumbekova, Saule& Mukanova, Balgaisha. 2015. Numerical Solution of Continuation Problem for 3D Steady-State Diffusion in Cylindrically Layered Medium. Abstract and Applied Analysis،Vol. 2015, no. 2015, pp.1-13.
https://search.emarefa.net/detail/BIM-1052016
Modern Language Association (MLA)
Kulbay, Magira…[et al.]. Numerical Solution of Continuation Problem for 3D Steady-State Diffusion in Cylindrically Layered Medium. Abstract and Applied Analysis No. 2015 (2015), pp.1-13.
https://search.emarefa.net/detail/BIM-1052016
American Medical Association (AMA)
Kulbay, Magira& Maussumbekova, Saule& Mukanova, Balgaisha. Numerical Solution of Continuation Problem for 3D Steady-State Diffusion in Cylindrically Layered Medium. Abstract and Applied Analysis. 2015. Vol. 2015, no. 2015, pp.1-13.
https://search.emarefa.net/detail/BIM-1052016
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1052016