TY - GEN

T1 - Inverse problem of restoring the right-hand side of the time-fractional diffusion equation

AU - Sultanov, Murat A.

AU - Misilov, Vladimir E.

AU - Kalimbetov, Burkhan T.

AU - Turebekov, Rauan Zh.

AU - Nurlanuly, Yerkebulan

N1 - The work was financially supported by the Ministry of Education and Science of the Republic of Kazakhstan (project AP09258836).

PY - 2024

Y1 - 2024

N2 - The paper considers the parallel algorithm for solving the inverse problem of identifying the space-dependent right-hand part of a time-fractional diffusion equation. After discretization and approximation, the initial boundary problem is reduced to solving the systems of linear algebraic equations. For solving the inverse problem, the iterative conjugate gradient method is used. It requires solving the auxilliary initial boundary problem at each iterative step. On the basis of the parallel sweep method, a parallel algorithm is implemented for multicore processors. Numerical experiments were performed.

AB - The paper considers the parallel algorithm for solving the inverse problem of identifying the space-dependent right-hand part of a time-fractional diffusion equation. After discretization and approximation, the initial boundary problem is reduced to solving the systems of linear algebraic equations. For solving the inverse problem, the iterative conjugate gradient method is used. It requires solving the auxilliary initial boundary problem at each iterative step. On the basis of the parallel sweep method, a parallel algorithm is implemented for multicore processors. Numerical experiments were performed.

UR - http://www.scopus.com/inward/record.url?partnerID=8YFLogxK&scp=85186093508

U2 - 10.1063/5.0194817

DO - 10.1063/5.0194817

M3 - Conference contribution

SN - 978-073544836-0

VL - 3085

T3 - AIP Conference Proceedings

BT - AIP Conference Proceedings

T2 - 6th International Conference on Analysis and Applied Mathematics, ICAAM 2022

Y2 - 31 October 2022 through 6 November 2022

ER -