On regularization results for a two-dimensional nonlinear time-fractional inverse diffusion problem

DOI10.1016/j.jmaa.2023.127721zbMath1527.35489OpenAlexW4386216089MaRDI QIDQ6063657

Dinh Nguyen Duy Hai

Publication date: 8 November 2023

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2023.127721

zbMATH Keywords

error estimatesregularizationinverse diffusion equation

Mathematics Subject Classification ID

Ill-posed problems for PDEs (35R25) Inverse problems for PDEs (35R30) Numerical methods for inverse problems for initial value and initial-boundary value problems involving PDEs (65M32) Fractional partial differential equations (35R11)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Initial value/boundary value problems for fractional diffusion-wave equations and applications to some inverse problems
• A new regularization method for solving a time-fractional inverse diffusion problem
• Spectral regularization method for solving a time-fractional inverse diffusion problem
• Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
• Regularization of a backwards parabolic equation by fractional operators
• An iteration regularization for a time-fractional inverse diffusion problem
• The method of simplified Tikhonov regularization for a time-fractional inverse diffusion problem
• A meshless method for solving the time fractional advection-diffusion equation with variable coefficients
• An inverse problem for an inhomogeneous time-fractional diffusion equation: a regularization method and error estimate
• Stable numerical solution of a fractional-diffusion inverse heat conduction problem
• Optimality for ill-posed problems under general source conditions
• The fundamental solution of the space-time fractional diffusion equation
• Numerical solutions of fuzzy time fractional advection‐diffusion equations in double parametric form of fuzzy number
• An inverse problem for a time-fractional advection equation associated with a nonlinear reaction term
• On the identification of a nonlinear term in a reaction–diffusion equation
• A tutorial on inverse problems for anomalous diffusion processes
• A backward problem for the time-fractional diffusion equation
• An introduction to the mathematical theory of inverse problems

This page was built for publication: On regularization results for a two-dimensional nonlinear time-fractional inverse diffusion problem