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An Inverse Problem for a Two-Dimensional Time-Fractional Sideways Heat Equation
Joint Authors
Source
Mathematical Problems in Engineering
Issue
Vol. 2020, Issue 2020 (31 Dec. 2020), pp.1-13, 13 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2020-03-10
Country of Publication
Egypt
No. of Pages
13
Main Subjects
Abstract EN
In this paper, we consider a two-dimensional (2D) time-fractional inverse diffusion problem which is severely ill-posed; i.e., the solution (if it exists) does not depend continuously on the data.
A modified kernel method is presented for approximating the solution of this problem, and the convergence estimates are obtained based on both a priori choice and a posteriori choice of regularization parameters.
The numerical examples illustrate the behavior of the proposed method.
American Psychological Association (APA)
Liu, Songshu& Feng, Lixin. 2020. An Inverse Problem for a Two-Dimensional Time-Fractional Sideways Heat Equation. Mathematical Problems in Engineering،Vol. 2020, no. 2020, pp.1-13.
https://search.emarefa.net/detail/BIM-1196350
Modern Language Association (MLA)
Liu, Songshu& Feng, Lixin. An Inverse Problem for a Two-Dimensional Time-Fractional Sideways Heat Equation. Mathematical Problems in Engineering No. 2020 (2020), pp.1-13.
https://search.emarefa.net/detail/BIM-1196350
American Medical Association (AMA)
Liu, Songshu& Feng, Lixin. An Inverse Problem for a Two-Dimensional Time-Fractional Sideways Heat Equation. Mathematical Problems in Engineering. 2020. Vol. 2020, no. 2020, pp.1-13.
https://search.emarefa.net/detail/BIM-1196350
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1196350