Zobrazeno 1 - 10
of 41
pro vyhledávání: '"Xiangtuan Xiong"'
Autor:
Yu Shen, Xiangtuan Xiong
Publikováno v:
Symmetry, Vol 16, Iss 2, p 134 (2024)
This paper solves the inverse source problem of heat conduction in which the source term only varies with time. The application of the discrete regularization method, a kind of effective radial symmetry and axisymmetric heat conduction problem source
Externí odkaz:
https://doaj.org/article/f9efcedb03d44cf9a7d7f9ed3745e388
Publikováno v:
AIMS Mathematics, Vol 7, Iss 6, Pp 11070-11086 (2022)
In this paper, we deal with the reconstruction problem of aperture in the plane from their diffraction patterns. The problem is severely ill-posed. The reconstruction solutions of classical Tikhonov method and Fourier truncated method are usually ove
Externí odkaz:
https://doaj.org/article/bb90ebdd9e4a4b1aa7dfec7623d638f7
Publikováno v:
AIMS Mathematics, Vol 6, Iss 10, Pp 11425-11448 (2021)
The predication of the helium diffusion concentration as a function of a source term in diffusion equation is an ill-posed problem. This is called inverse radiogenic source problem. Although some classical regularization methods have been considered
Externí odkaz:
https://doaj.org/article/531f7f7bd6414556acd5b7ce1c8357c9
Publikováno v:
AIMS Mathematics, Vol 6, Iss 6, Pp 5909-5923 (2021)
In this paper, we consider a nonlinear inverse problem of recovering two fractional orders and a diffusion coefficient in a one-dimensional time-space fractional diffusion equation. The uniqueness of fractional orders and the diffusion coefficient, c
Externí odkaz:
https://doaj.org/article/979e18bf31044a63872b0d602bff32d8
Publikováno v:
Fractal and Fractional, Vol 6, Iss 6, p 312 (2022)
In this article, we investigate a sideways problem of the non-homogeneous time-fractional diffusion equation, which is highly ill-posed. Such a model is obtained from the classical non-homogeneous sideways heat equation by replacing the first-order t
Externí odkaz:
https://doaj.org/article/d7cf7eae158f4950b74815dfd60da3f4
Publikováno v:
Mathematics, Vol 10, Iss 13, p 2191 (2022)
This article is devoted to identifying a space-dependent source term in linear parabolic equations. Such a problem is ill posed, i.e., a small perturbation in the input data may cause a dramatically large error in the solution (if it exists). The con
Externí odkaz:
https://doaj.org/article/87c104f5fe1846f79725b95c0d0748e1
Publikováno v:
Mathematics, Vol 10, Iss 10, p 1742 (2022)
The inverse and ill-posed problem of determining a solute concentration for the two-dimensional nonhomogeneous fractional diffusion equation is investigated. This model is much worse than its homogeneous counterpart as the source term appears. We pro
Externí odkaz:
https://doaj.org/article/238f2a8f41ba44fabd4e4e51e6792ed4
Autor:
Xuemin Xue, Xiangtuan Xiong
Publikováno v:
Mathematics, Vol 9, Iss 18, p 2255 (2021)
In this paper, the numerical analytic continuation problem is addressed and a fractional Tikhonov regularization method is proposed. The fractional Tikhonov regularization not only overcomes the difficulty of analyzing the ill-posedness of the contin
Externí odkaz:
https://doaj.org/article/ce88946a4b824b40b9e387c71fef741b
Autor:
Xiangtuan Xiong, Xiaojun Ma
Publikováno v:
Mathematical Modelling and Analysis, Vol 22, Iss 3 (2017)
We consider a backward ill-posed problem for an axis-symmetric fractional diffusion equation which is described in polar coordinates. A closed form solution of the inverse problem is obtained. However, this solution blows up. For numerical stability,
Externí odkaz:
https://doaj.org/article/e09a82fdcab6497da66f1f4ff6bd6a78
Autor:
Xiangtuan Xiong, Jun Li
Publikováno v:
Journal of Applied Mathematics and Computing. 69:2295-2313
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::a81d61584e923d6424230b7f8a30c9d3
https://doi.org/10.1007/s12190-022-01835-7
https://doi.org/10.1007/s12190-022-01835-7