Identification of stationary source in the anomalous diffusion equation

DOI10.1080/17415977.2021.2000609OpenAlexW3215445242MaRDI QIDQ5861351

Lingde Su, Gang Wang, Vasiliy I. Vasil'ev, Tong-Song Jiang

Publication date: 4 March 2022

Published in: Inverse Problems in Science and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/17415977.2021.2000609

zbMATH Keywords

inverse problemconjugate gradient methodfractional diffusion equationimplicit difference scheme

Mathematics Subject Classification ID

Numerical methods for ill-posed problems for initial value and initial-boundary value problems involving PDEs (65M30) Fractional partial differential equations (35R11)

Related Items

Solving time-fractional diffusion equations with a singular source term ⋮ Inverse coefficient problem for the time‐fractional diffusion equation with Hilfer operator

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• A new difference scheme for the time fractional diffusion equation
• Identifying an unknown source in time-fractional diffusion equation by a truncation method
• Numerical modeling of viscoelastic flows using equal low-order finite elements
• Determination of an unknown source term and the temperature distribution for the linear heat equation involving fractional derivative in time
• Implicit difference approximation for the time fractional diffusion equation
• Uniqueness for an inverse source problem of determining a space dependent source in a time-fractional diffusion equation
• Identification of a spacewise dependent heat source
• Initial-boundary value problems for fractional diffusion equations with time-dependent coefficients
• Waiting-times and returns in high-frequency financial data: An empirical study
• Solution for a fractional diffusion-wave equation defined in a bounded domain
• Inverse source problem for time fractional diffusion equation with Mittag-Leffler kernel
• Inverse source problem for a distributed-order time fractional diffusion equation
• Finite difference/spectral approximations for the time-fractional diffusion equation
• Time fractional IHCP with Caputo fractional derivatives
• Determination of a spacewise dependent heat source
• Numerical methods for solving inverse problems of mathematical physics.
• Inverse source problem for a fractional diffusion equation
• A Theoretical Basis for the Application of Fractional Calculus to Viscoelasticity
• Identification of an inverse source problem for time‐fractional diffusion equation with random noise
• Inverse problems for a perturbed time fractional diffusion equation with final overdetermination
• Reconstruction and stable recovery of source terms and coefficients appearing in diffusion equations
• An inverse random source problem for the time fractional diffusion equation driven by a fractional Brownian motion
• Reconstruction of a Space-Time-Dependent Source in Subdiffusion Models via a Perturbation Approach
• Reconstruction of a spacewise-dependent heat source in a time-dependent heat diffusion process
• A variational method for identifying a spacewise-dependent heat source
• Determination of an Unknown Heat Source from Overspecified Boundary Data

This page was built for publication: Identification of stationary source in the anomalous diffusion equation