Parallel Algorithm for Solving the Inverse Two-Dimensional Fractional Diffusion Problem of Identifying the Source Term

Parallel Algorithm for Solving the Inverse Two-Dimensional Fractional Diffusion Problem of Identifying the Source Term

This paper is devoted to the development of a parallel algorithm for solving the inverse problem of identifying the space-dependent source term in the two-dimensional fractional diffusion equation. For solving the inverse problem, the regularized iterative conjugate gradient method is used. At each...

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Bibliographic Details
Main Authors: Elena N. Akimova, Murat A. Sultanov, Vladimir E. Misilov, Yerkebulan Nurlanuly
Format: Article
Language:English
Published: MDPI AG 2023-11-01
Series:Fractal and Fractional
Subjects:
time-fractional diffusion equation
Caputo fractional derivative
inverse problems
source term identification
finite-difference scheme
block-elimination method
Online Access:https://www.mdpi.com/2504-3110/7/11/801

Internet

https://www.mdpi.com/2504-3110/7/11/801

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