THERMAL SCIENCE

International Scientific Journal

DETERMINATION OF SOURCE TERM FOR FRACTIONAL HEAT EQUATION ON THE SPHERE

ABSTRACT
In this work, we study a truncation method to solve a time fractional diffusion equation on the sphere of an inverse source problem which is ill-posed in the sense of Hadamard. Through some priori assumption, we present the error estimates between the regularized and exact solutions.
KEYWORDS
PAPER SUBMITTED: 2020-06-05
PAPER REVISED: 2020-06-30
PAPER ACCEPTED: 2020-07-15
PUBLISHED ONLINE: 2020-10-25
DOI REFERENCE: https://doi.org/10.2298/TSCI20S1361P
CITATION EXPORT: view in browser or download as text file
THERMAL SCIENCE YEAR 2020, VOLUME 24, ISSUE Supplement 1, PAGES [S361 - S370]
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© 2022 Society of Thermal Engineers of Serbia. Published by the Vinča Institute of Nuclear Sciences, National Institute of the Republic of Serbia, Belgrade, Serbia. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution-NonCommercial-NoDerivs 4.0 International licence