TY - GEN

T1 - Parallel algorithm for solving the inverse problem of identifying the right-hand part of the time-fractional diffusion equation

T2 - book chapter

AU - Sultanov, Murat

AU - Misilov, Vladimir

AU - Nurlanuly, Yerkebulan

N1 - The first author (M.A.S.) and third author (Y.N.) were financially supported by the Ministry of Education and Science of the Republic of Kazakhstan (project AP09258836).

PY - 2023

Y1 - 2023

N2 - The paper considers the parallel algorithm for solving the inverse problem of identifying the time-dependent right-hand part of a time-fractional diffusion equation. After discretization and approximation of the auxiliary loaded equation, the problem is reduced to solving a pair of systems of linear algebraic equations with a large tridiagonal matrix at each successive time layer. On the basis of the parallel weep method, a parallel algorithm is implemented for multicore processors. © 2023 Author(s).

AB - The paper considers the parallel algorithm for solving the inverse problem of identifying the time-dependent right-hand part of a time-fractional diffusion equation. After discretization and approximation of the auxiliary loaded equation, the problem is reduced to solving a pair of systems of linear algebraic equations with a large tridiagonal matrix at each successive time layer. On the basis of the parallel weep method, a parallel algorithm is implemented for multicore processors. © 2023 Author(s).

UR - http://www.scopus.com/inward/record.url?partnerID=8YFLogxK&scp=85177701735

U2 - 10.1063/5.0175423

DO - 10.1063/5.0175423

M3 - Conference contribution

SN - 978-073544695-3

VL - 2879

T3 - AIP Conference Proceedings

BT - SIXTH INTERNATIONAL CONFERENCE OF MATHEMATICAL SCIENCES (ICMS 2022)

PB - American Institute of Physics Inc.

ER -