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Applicable Analysis
An International Journal
Volume 100, 2021 - Issue 16
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Articles

On a final value problem for a biparabolic equation with statistical discrete data

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Pages 3576-3599 | Received 03 Sep 2019, Accepted 26 Jan 2020, Published online: 05 Feb 2020
 

ABSTRACT

This article is devoted to the study of final value problems for biparabolic equation with discrete data in two cases as the linear source and the nonlinear source, respectively. In each of the cases, we show the instability of the solutions and then establish approximate solutions by applying some regularization methods. In addition, the convergence estimates and numerical experiments showing the flexibility of those methods are given.

2010 Mathematics Subject Classifications:

Acknowledgments

The authors would like to thank the reviewers and editor for their constructive comments and valuable suggestions that improve the quality of our paper. The author Hoan Luu Cam Vu is supported by Faculty of Basic Science, Posts and Telecommunications Institute of Technology, Ho Chi Minh City, Vietnam.

Disclosure statement

No potential conflict of interest was reported by the author(s).

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