In:
Advances in Difference Equations, Springer Science and Business Media LLC, Vol. 2021, No. 1 ( 2021-12)
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.
Type of Medium:
Online Resource
ISSN:
1687-1847
DOI:
10.1186/s13662-021-03626-z
Language:
English
Publisher:
Springer Science and Business Media LLC
Publication Date:
2021
detail.hit.zdb_id:
2132815-8
detail.hit.zdb_id:
3112904-3
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