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Calcolo
Published in: Calcolo 4/2022

01-11-2022

Regularization methods for identifying the initial value of time fractional pseudo-parabolic equation

Authors: Fan Yang, Jian-Ming Xu, Xiao-Xiao Li

Published in: Calcolo | Issue 4/2022

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Abstract

In this paper, the problem we investigate is that the inverse problem of identifying the initial value for fractional pseudo-parabolic equation. This problem is ill-posed, i.e. the solution (if exists) does not depend on the measurable data. We give the estimate of conditional stability under an a-priori bound assumption for exact solution. Two regularization methods are used to solve this problem, and under an a-priori and an a-posteriori selection rule for the regularization parameter, the error estimates for these methods are obtained. Finally, several numerical examples are given to prove the effectiveness of these regularization methods.
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Metadata
Title
Regularization methods for identifying the initial value of time fractional pseudo-parabolic equation
Authors
Fan Yang
Jian-Ming Xu
Xiao-Xiao Li
Publication date
01-11-2022
Publisher
Springer International Publishing
Published in
Calcolo / Issue 4/2022
Print ISSN: 0008-0624
Electronic ISSN: 1126-5434
DOI
https://doi.org/10.1007/s10092-022-00492-3

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