Identifying a time-dependent zeroth-order coefficient in a time-fractional diffusion-wave equation by using the measured data at a boundary point

DOI10.1080/00036811.2021.1932834zbMath1498.35632OpenAlexW3171364935MaRDI QIDQ5039363

Ting Wei, Kaifang Liao

Publication date: 12 October 2022

Published in: Applicable Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00036811.2021.1932834

zbMATH Keywords

conditional stabilitytime-fractional diffusion-wave equationLevenberg-Marquardt regularization methodtime-dependent zeroth-order coefficient

Mathematics Subject Classification ID

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) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)

Related Items (3)

Numerical recovery of a time-dependent potential in subdiffusion ^* ⋮ Simultaneous recovery of two time-dependent coefficients in a multi-term time-fractional diffusion equation ⋮ Determining a time-dependent coefficient in a time-fractional diffusion-wave equation with the Caputo derivative by an additional integral condition

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Determination of time dependent factors of coefficients in fractional diffusion equations
• Numerical algorithm with high spatial accuracy for the fractional diffusion-wave equation with von Neumann boundary conditions
• Numerical algorithm based on an implicit fully discrete local discontinuous Galerkin method for the fractional diffusion-wave equation
• On existence and uniqueness of solutions for semilinear fractional wave equations
• Initial value/boundary value problems for fractional diffusion-wave equations and applications to some inverse problems
• A compact difference scheme for the fractional diffusion-wave equation
• On a regularized Levenberg-Marquardt method for solving nonlinear inverse problems
• Functional analysis, Sobolev spaces and partial differential equations
• Semigroups of linear operators and applications to partial differential equations
• Geometric theory of semilinear parabolic equations
• Regularization methods for large-scale problems
• Recovering the time-dependent potential function in a multi-term time-fractional diffusion equation
• Identification of time-dependent convection coefficient in a time-fractional diffusion equation
• Solution for a fractional diffusion-wave equation defined in a bounded domain
• The backward problem for a time-fractional diffusion-wave equation in a bounded domain
• Operator theoretic treatment of linear Abel integral equations of first kind
• Numerical methods for solving the multi-term time-fractional wave-diffusion equation
• Recognition of a time-dependent source in a time-fractional wave equation
• A fully discrete difference scheme for a diffusion-wave system
• An undetermined coefficient problem for a fractional diffusion equation
• Numerical Solution of Fractional Diffusion-Wave Equation
• A regularizing Levenberg - Marquardt scheme, with applications to inverse groundwater filtration problems
• The Identification of the Time-Dependent Source Term in Time-Fractional Diffusion-Wave Equations
• Concrete characterization of the domains of fractional powers of some elliptic differential operators of the second order
• From diffusion to anomalous diffusion: A century after Einstein’s Brownian motion
• The random walk's guide to anomalous diffusion: A fractional dynamics approach

This page was built for publication: Identifying a time-dependent zeroth-order coefficient in a time-fractional diffusion-wave equation by using the measured data at a boundary point