Triet Le Minh - Academia.edu (original) (raw)

Universidade Federal de Santa Catarina - UFSC (Federal University of Santa Catarina)

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Papers by Triet Le Minh

$Research paper thumbnail of An inverse problem for a time-fractional advection equation associated with a nonlinear reaction term$

Inverse Problems in Science and Engineering, 2020

Fractional derivative is an important notion in the study of the contemporary mathematics not onl... more Fractional derivative is an important notion in the study of the contemporary mathematics not only because it is more mathematically general than the classical derivative but also it really has applications to understand many physical phenomena. In particular, fractional derivatives are related to long power-law particle jumps, which can be understood as transient anomalous sub-diffusion model (see Sabzikar F, Meerschaert M, Chen J. Tempered fractional calculus.

Journal of Computational and Applied Mathematics, 2020

This is a PDF file of an article that has undergone enhancements after acceptance, such as the ad... more This is a PDF file of an article that has undergone enhancements after acceptance, such as the addition of a cover page and metadata, and formatting for readability, but it is not yet the definitive version of record. This version will undergo additional copyediting, typesetting and review before it is published in its final form, but we are providing this version to give early visibility of the article. Please note that, during the production process, errors may be discovered which could affect the content, and all legal disclaimers that apply to the journal pertain.

Journal of Computational and Applied Mathematics, 2018

$Research paper thumbnail of On a space fractional backward diffusion problem and its approximation of local solution$

Journal of Computational and Applied Mathematics, 2019

This article deals with a backward diffusion problem for an inhomogeneous backward diffusion equa... more This article deals with a backward diffusion problem for an inhomogeneous backward diffusion equation with fractional Laplacian in R:     

Computational and Applied Mathematics, 2017

In this paper, we deal with an asymmetric case of the non-homogeneous backward parabolic problem ... more In this paper, we deal with an asymmetric case of the non-homogeneous backward parabolic problem associated with time-dependent diffusivity in polar coordinates which arises in describing the heat transfer in cylinder. In general, this problem is severely ill-posed by the Hadamard instability. To subdue the instability of this problem, we apply the modified quasi-boundary value method. According to some a priori assumptions on the exact solution, we get an explicit error estimate of Hölder type for all t ∈ (0, T ]. In addition, a numerical experiment is given to illustrate the efficiency and flexibility of our method.

On a backward heat problem with time-dependent coefficient: Regularization and error estimates

Applied Mathematics and Computation, 2013

ABSTRACT In this paper, we consider a homogeneous backward heat conduction problem which appears ... more ABSTRACT In this paper, we consider a homogeneous backward heat conduction problem which appears in some applied subjects. This problem is ill-posed in the sense that the solution (if it exists) does not depend continuously on the final data. A new regularization method is applied to formulate regularized solutions which are stably convergent to the exact ones with Holder estimates. A numerical example shows that the computational effect of the method is all satisfactory.