Regularization and error estimates for an inverse heat problem under the conformable derivative

被引：4

作者：

Ho Vu ^{[1
]}

O'Regan, Donal ^{[2
]}

Ngo Van Hoa ^{[3
,4
]}

机构：

[1] Banking Univ Ho Chi Minh City, Fac Math Econ, Ho Chi Minh City, Vietnam

[2] Natl Univ Ireland, Sch Math Stat & Appl Math, Galway, Ireland

[3] Ton Duc Thang Univ, Inst Computat Sci, Div Computat Math & Engn, Ho Chi Minh City, Vietnam

[4] Ton Duc Thang Univ, Fac Math & Stat, Ho Chi Minh City, Vietnam

来源：

OPEN MATHEMATICS | 2018年 / 16卷

关键词：

Conformable derivative; Inverse heat problem; Ill-posed problem; Nonhomogeneous heat; Two regularization parameters; TIME-FRACTIONAL DIFFUSION; BACKWARD; EQUATION;

D O I：

10.1515/math-2018-0084

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper we study an inverse time problem for the nonhomogeneous heat equation under the conformable derivative which is a severely ill-posed problem. Using the quasi-boundary value method with two regularization parameters (one related to the error in a measurement process and the other is related to the regularity of the solution) we regularize this problem and obtain a Holder-type estimation error for the whole time interval. Numerical results are presented to illustrate the accuracy and efficiency of the method.

引用

页码：999 / 1011

页数：13

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