Abstract

In this paper, the problem of finding the source function for the Rayleigh–Stokes equation is considered. According to Hadamard’s definition, the sought solution of this problem is both unstable and independent of continuous data. By using the fractional Tikhonov method, we give the regularized solutions and then deal with a priori error estimate between the exact solution and its regularized solutions. Finally, the proposed regularized methods have been verified by simple numerical experiments to check error estimate between the sought solution and the regularized solution.

Details

Title
Reconstructing the right-hand side of the Rayleigh–Stokes problem with nonlocal in time condition
Author
Nguyen, Duc Phuong 1 ; Binh Ho Duy 2 ; Long Le Dinh 2 ; Van Ho Thi Kim 2 

 Industrial University of Ho Chi Minh City, Ho Chi Minh City, Vietnam (GRID:grid.448730.c) (ISNI:0000 0004 0518 008X) 
 Thu Dau Mot University, Division of Applied Mathematics, Binh Duong Province, Vietnam (GRID:grid.448730.c) 
Publication year
2021
Publication date
Dec 2021
Publisher
Springer Nature B.V.
ISSN
1687-1839
e-ISSN
1687-1847
Source type
Scholarly Journal
Language of publication
English
ProQuest document ID
2584867711
Copyright
© The Author(s) 2021. This work is published under http://creativecommons.org/licenses/by/4.0/ (the “License”). Notwithstanding the ProQuest Terms and Conditions, you may use this content in accordance with the terms of the License.