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

DOI10.1016/j.camwa.2023.12.027OpenAlexW4391088685MaRDI QIDQ6149074

Aissam Hadri, Mahmoud A. Zaky, Lekbir Afraites, A. Oulmelk, Ahmed S. Hendy

Publication date: 8 February 2024

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2023.12.027

zbMATH Keywords

alternating direction method of multipliersoptimization techniquestime-fractional diffusionsource term identification

Mathematics Subject Classification ID

Statistics (62-XX) Numerical analysis (65-XX)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Uniqueness for an inverse space-dependent source term in a multi-dimensional time-fractional diffusion equation
• High-order finite element methods for time-fractional partial differential equations
• Initial value/boundary value problems for fractional diffusion-wave equations and applications to some inverse problems
• Implicit difference approximation for the time fractional diffusion equation
• Implicit finite difference approximation for time fractional diffusion equations
• Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
• A first-order primal-dual algorithm for convex problems with applications to imaging
• Optimization method for determining the source term in fractional diffusion equation
• Strong maximum principle for multi-term time-fractional diffusion equations and its application to an inverse source problem
• An optimal control approach for determining the source term in fractional diffusion equation by different cost functionals
• An ADMM numerical approach to linear parabolic state constrained optimal control problems
• Finite difference/spectral approximations for the time-fractional diffusion equation
• A modified quasi-boundary value method for an inverse source problem of the time-fractional diffusion equation
• Maximum principle for the generalized time-fractional diffusion equation
• Inverse space-dependent source problem for a time-fractional diffusion equation by an adjoint problem approach
• Inverse source problem for a fractional diffusion equation
• An inverse source problem for a one-dimensional space–time fractional diffusion equation
• Uniqueness in an inverse problem for a one-dimensional fractional diffusion equation
• Implementing the Alternating Direction Method of Multipliers for Big Datasets: A Case Study of Least Absolute Shrinkage and Selection Operator
• An Alternating Direction Method of Multipliers for the Optimization Problem Constrained with a Stationary Maxwell System
• Existence and Uniqueness of the Weak Solution of the Space-time Fractional Diffusion Equation and a Spectral Method Approximation
• Primal-Dual Extragradient Methods for Nonlinear Nonsmooth PDE-Constrained Optimization
• Radiogenic Source Identification for the Helium Production-Diffusion Equation
• Numerical method in reproducing kernel space for an inverse source problem for the fractional diffusion equation

This page was built for publication: Alternating direction multiplier method to estimate an unknown source term in the time-fractional diffusion equation