Standard

Alternating direction multiplier method to estimate an unknown source term in the time-fractional diffusion equation. / Oulmelk, Abdessamad; Afraites, Lekbir; Hadri, Aissam и др.
в: Computers and Mathematics with Applications, Том 156, 15.02.2024, стр. 195-206.

Результаты исследований: Вклад в журнал › Статья › Рецензирование

Harvard

Oulmelk, A, Afraites, L, Hadri, A, Zaky, MA & Hendy, AS 2024, 'Alternating direction multiplier method to estimate an unknown source term in the time-fractional diffusion equation', Computers and Mathematics with Applications, Том. 156, стр. 195-206. https://doi.org/10.1016/j.camwa.2023.12.027

APA

Oulmelk, A., Afraites, L., Hadri, A., Zaky, M. A., & Hendy, A. S. (2024). Alternating direction multiplier method to estimate an unknown source term in the time-fractional diffusion equation. Computers and Mathematics with Applications, 156, 195-206. https://doi.org/10.1016/j.camwa.2023.12.027

Vancouver

Oulmelk A, Afraites L, Hadri A, Zaky MA, Hendy AS. Alternating direction multiplier method to estimate an unknown source term in the time-fractional diffusion equation. Computers and Mathematics with Applications. 2024 февр. 15;156:195-206. doi: 10.1016/j.camwa.2023.12.027

Author

Oulmelk, Abdessamad ; Afraites, Lekbir ; Hadri, Aissam и др. / Alternating direction multiplier method to estimate an unknown source term in the time-fractional diffusion equation. в: Computers and Mathematics with Applications. 2024 ; Том 156. стр. 195-206.

BibTeX

@article{9a470f6d209d4fe0ba7dd1f171771605,
title = "Alternating direction multiplier method to estimate an unknown source term in the time-fractional diffusion equation",
abstract = "An estimation for the unknown source term in the time-fractional diffusion equation from measurement data by the alternating direction method of multipliers (ADMM) is considered. The considered model involves a Caputo fractional derivative of order . The inverse source problem is transformed into an optimal control formulation with two distinct cost functions, namely least squares fitting and the -norm. For its resolution, we use the method for all kinds of cost functions. Finally, the efficiency and accuracy of the present method are illustrated by some numerical examples.",
author = "Abdessamad Oulmelk and Lekbir Afraites and Aissam Hadri and Zaky, {Mahmoud A.} and Hendy, {A. S.}",
year = "2024",
month = feb,
day = "15",
doi = "10.1016/j.camwa.2023.12.027",
language = "English",
volume = "156",
pages = "195--206",
journal = "Computers and Mathematics with Applications",
issn = "0898-1221",
publisher = "Elsevier",

}

RIS

TY - JOUR

T1 - Alternating direction multiplier method to estimate an unknown source term in the time-fractional diffusion equation

AU - Oulmelk, Abdessamad

AU - Afraites, Lekbir

AU - Hadri, Aissam

AU - Zaky, Mahmoud A.

AU - Hendy, A. S.

PY - 2024/2/15

Y1 - 2024/2/15

N2 - An estimation for the unknown source term in the time-fractional diffusion equation from measurement data by the alternating direction method of multipliers (ADMM) is considered. The considered model involves a Caputo fractional derivative of order . The inverse source problem is transformed into an optimal control formulation with two distinct cost functions, namely least squares fitting and the -norm. For its resolution, we use the method for all kinds of cost functions. Finally, the efficiency and accuracy of the present method are illustrated by some numerical examples.

AB - An estimation for the unknown source term in the time-fractional diffusion equation from measurement data by the alternating direction method of multipliers (ADMM) is considered. The considered model involves a Caputo fractional derivative of order . The inverse source problem is transformed into an optimal control formulation with two distinct cost functions, namely least squares fitting and the -norm. For its resolution, we use the method for all kinds of cost functions. Finally, the efficiency and accuracy of the present method are illustrated by some numerical examples.

UR - http://www.scopus.com/inward/record.url?partnerID=8YFLogxK&scp=85184139140

UR - https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcAuth=tsmetrics&SrcApp=tsm_test&DestApp=WOS_CPL&DestLinkType=FullRecord&KeyUT=001169849600001

U2 - 10.1016/j.camwa.2023.12.027

DO - 10.1016/j.camwa.2023.12.027

M3 - Article

VL - 156

SP - 195

EP - 206

JO - Computers and Mathematics with Applications

JF - Computers and Mathematics with Applications

SN - 0898-1221

ER -

ID: 52960169