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A Simultaneous Inversion Problem for the Variable-Order Time Fractional Differential Equation with Variable Coefficient
Joint Authors
Li, Gongsheng
Wang, Shengnan
Wang, Zhendong
Wang, Yingmei
Source
Mathematical Problems in Engineering
Issue
Vol. 2019, Issue 2019 (31 Dec. 2019), pp.1-13, 13 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2019-01-13
Country of Publication
Egypt
No. of Pages
13
Main Subjects
Abstract EN
This paper deals with an inverse problem of simultaneously determining the space-dependent diffusion coefficient and the fractional order in the variable-order time fractional diffusion equation by the measurements at one interior point.
Numerical solution to the forward problem is given by the finite difference scheme, and the homotopy regularization algorithm is applied to solve the inverse problem utilizing Legendre polynomials as the basis functions of the approximate space.
The inversion solutions with noisy data which give good approximations to the exact solution demonstrate effectiveness of the inversion algorithm for the simultaneous inversion problem.
American Psychological Association (APA)
Wang, Shengnan& Wang, Zhendong& Li, Gongsheng& Wang, Yingmei. 2019. A Simultaneous Inversion Problem for the Variable-Order Time Fractional Differential Equation with Variable Coefficient. Mathematical Problems in Engineering،Vol. 2019, no. 2019, pp.1-13.
https://search.emarefa.net/detail/BIM-1194817
Modern Language Association (MLA)
Wang, Shengnan…[et al.]. A Simultaneous Inversion Problem for the Variable-Order Time Fractional Differential Equation with Variable Coefficient. Mathematical Problems in Engineering No. 2019 (2019), pp.1-13.
https://search.emarefa.net/detail/BIM-1194817
American Medical Association (AMA)
Wang, Shengnan& Wang, Zhendong& Li, Gongsheng& Wang, Yingmei. A Simultaneous Inversion Problem for the Variable-Order Time Fractional Differential Equation with Variable Coefficient. Mathematical Problems in Engineering. 2019. Vol. 2019, no. 2019, pp.1-13.
https://search.emarefa.net/detail/BIM-1194817
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1194817