Inverse source problem of time fractional Cahn–Hilliard equation

In this paper, we consider the inverse source problem of the time fractional two-dimensional Cahn–Hilliard equation. As the problem is ill-posed, we give an iterative regularization method to solve it stably and obtain the Hölder error estimates under the a priori and a posteriori parameter choice rules. Finally, numerical implements are given to verify the effectiveness of the proposed reconstruction.

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Publication Details

Journal
Asian-European Journal of Mathematics
Published
2025-10-17
DOI
https://doi.org/10.1142/s1793557125501293
Primary Topic
Fractional Differential Equations Solutions
Type
article
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article

Inverse source problem of time fractional Cahn–Hilliard equation

Hao Cheng, Jing Li
Asian-European Journal of Mathematics
Fractional Differential Equations Solutions
article

Inverse source problem of time fractional Cahn–Hilliard equation

Hao Cheng, Jing Li
article en

Abstract

In this paper, we consider the inverse source problem of the time fractional two-dimensional Cahn–Hilliard equation. As the problem is ill-posed, we give an iterative regularization method to solve it stably and obtain the Hölder error estimates under the a priori and a posteriori parameter choice rules. Finally, numerical implements are given to verify the effectiveness of the proposed reconstruction.

Asian-European Journal of MathematicsVol. 19(01)
Jiangnan University (CN)
Openalex Percentile: Top 67%
Fractional Differential Equations Solutions
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