Two-Parameter Regularization Method for a Nonlinear Backward Heat Problem with a Conformable Derivative

Vu Ho; Donal O'Regan; Ngo Van Hoa

doi:10.1155/2020/4143930

Two-Parameter Regularization Method for a Nonlinear Backward Heat Problem with a Conformable Derivative

Vu Ho
, Donal O'Regan
, Ngo Van Hoa

Research output: Contribution to a Journal (Peer & Non Peer) › Article › peer-review

Abstract

In this paper, we consider the nonlinear inverse-time heat problem with a conformable derivative concerning the time variable. This problem is severely ill posed. A new method on the modified integral equation based on two regularization parameters is proposed to regularize this problem. Numerical results are presented to illustrate the efficiency of the proposed method.

Original language	English
Article number	4143930
Journal	Complexity
Volume	2020
DOIs	https://doi.org/10.1155/2020/4143930
Publication status	Published - 2020
Externally published	Yes

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title = "Two-Parameter Regularization Method for a Nonlinear Backward Heat Problem with a Conformable Derivative",

abstract = "In this paper, we consider the nonlinear inverse-time heat problem with a conformable derivative concerning the time variable. This problem is severely ill posed. A new method on the modified integral equation based on two regularization parameters is proposed to regularize this problem. Numerical results are presented to illustrate the efficiency of the proposed method.",

author = "Vu Ho and Donal O'Regan and \{Van Hoa\}, Ngo",

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AB - In this paper, we consider the nonlinear inverse-time heat problem with a conformable derivative concerning the time variable. This problem is severely ill posed. A new method on the modified integral equation based on two regularization parameters is proposed to regularize this problem. Numerical results are presented to illustrate the efficiency of the proposed method.

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U2 - 10.1155/2020/4143930

DO - 10.1155/2020/4143930

M3 - Article

AN - SCOPUS:85085241000

SN - 1076-2787

VL - 2020

JO - Complexity

JF - Complexity

M1 - 4143930

ER -

Two-Parameter Regularization Method for a Nonlinear Backward Heat Problem with a Conformable Derivative

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