Regularization of a multidimensional diffusion equation with conformable time derivative and discrete data

Donal O'Regan

doi:10.1002/mma.6133

Regularization of a multidimensional diffusion equation with conformable time derivative and discrete data

Donal O'Regan

Mathematics

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19 Citations (Scopus)

Abstract

In this paper, we consider a backward problem for a nonlinear diffusion equation with a conformable derivative in the case of multidimensional and discrete data. We show that this problem is ill-posed and then we establish stable approximate solutions by two different regularization methods: the Fourier truncated method and the quasi-boundary value (QBV) method. Furthermore, the error between the approximate solution and the sought solution is given.

Original language	English (Ireland)
Pages (from-to)	2879-2891
Number of pages	13
Journal	Mathematical Methods In The Applied Sciences
Volume	44
Issue number	4
DOIs	https://doi.org/10.1002/mma.6133
Publication status	Published - 1 Dec 2019

Keywords

backward problem
conformable time derivative
diffusion equation
discrete data
regularization

Authors (Note for portal: view the doc link for the full list of authors)

Authors
Tuan, NH,Thach, TN,Can, NH,O'Regan, D

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10.1002/mma.6133

Cite this

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AB - In this paper, we consider a backward problem for a nonlinear diffusion equation with a conformable derivative in the case of multidimensional and discrete data. We show that this problem is ill-posed and then we establish stable approximate solutions by two different regularization methods: the Fourier truncated method and the quasi-boundary value (QBV) method. Furthermore, the error between the approximate solution and the sought solution is given.

KW - backward problem

KW - conformable time derivative

KW - diffusion equation

KW - discrete data

KW - regularization

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JO - Mathematical Methods In The Applied Sciences

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ER -

Regularization of a multidimensional diffusion equation with conformable time derivative and discrete data

Abstract

Keywords

Authors (Note for portal: view the doc link for the full list of authors)

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