THERMAL SCIENCE

International Scientific Journal

Nguyen Duc Phuong

,

Tran Thanh Binh

,

Nguyen Hoang Luc

,

Nguyen Huu Can

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
time fractional diffusion, heat on the sphere, convergence estimates, inverse source problem, ill-posed problem
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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Determination of source term for fractional heat equation on the sphere

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