Journal
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS
Volume 413, Issue -, Pages -Publisher
ELSEVIER
DOI: 10.1016/j.cam.2022.114366
Keywords
Time fractional parabolic equation; Inverse problem; Caputo fractional derivatives; Ill-posed problems; Conjugate gradients method
Categories
Funding
- National Natural Science Foundation of China [11901497]
- Project for Hunan National Applied Mathematics Center of Hunan Provincial Science and Technology Department, China [2020ZYT003]
- Natural Science Foundation of Hunan Province, China [2019JJ50607]
- Russian Federation Government [14.Y26.31.0013]
- Russian Science Foundation [19-11-00230]
- Shandong Natural Science Foundation, China [ZR2021MA094]
Ask authors/readers for more resources
An effective numerical method is proposed in this paper for solving the inverse problem of a time fractional parabolic equation. The method is shown to be efficient and stable in solving the inverse problem, even with noisy measurements, through numerical experiments.
An effective numerical method for solving the inverse problem of time fractional parabolic equation is constructed in this paper. We use implicit finite difference method to discretize the problem and for the inverse problem we propose a conjugate gradient type regularization method to solve the discretized ill-posed linear systems. By comparing the different errors and the results with different perturbed data in several numerical experiments, our method is shown to solve the inverse problem, even with some noisy measurements, efficiently and stably. (c) 2022 Elsevier B.V. All rights reserved.
Authors
I am an author on this paper
Click your name to claim this paper and add it to your profile.
Reviews
Recommended
No Data Available
Share Paper
