A numerical method for solving retrospective inverse problem of fractional parabolic equation
DOI10.1016/j.cam.2022.114366zbMath1489.65132OpenAlexW4224215644WikidataQ113878722 ScholiaQ113878722MaRDI QIDQ2146336
A. M. Kardashevsky, Jian Huang, Ao Li, Vasiliy I. Vasil'ev, Lingde Su
Publication date: 16 June 2022
Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.cam.2022.114366
inverse problemill-posed problemsCaputo fractional derivativesconjugate gradients methodtime-fractional parabolic equation
Numerical methods for inverse problems for initial value and initial-boundary value problems involving PDEs (65M32) Numerical methods for ill-posed problems for initial value and initial-boundary value problems involving PDEs (65M30) Fractional partial differential equations (35R11)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- A new fractional numerical differentiation formula to approximate the Caputo fractional derivative and its applications
- A new difference scheme for the time fractional diffusion equation
- 2-approximation algorithm for finding a clique with minimum weight of vertices and edges
- Implicit finite difference approximation for time fractional diffusion equations
- Introduction to fractional differential equations
- Identification of time-dependent convection coefficient in a time-fractional diffusion equation
- Global uniqueness in an inverse problem for time fractional diffusion equations
- Analytical approximate solution for fractional heat-like and wave-like equations with variable coefficients using the decomposition method
- Solution for a fractional diffusion-wave equation defined in a bounded domain
- Finite difference approximations for fractional advection-dispersion flow equations
- Identifying a diffusion coefficient in a time-fractional diffusion equation
- Numerical methods for solving inverse problems of mathematical physics.
- Error Analysis of a High Order Method for Time-Fractional Diffusion Equations
- Simultaneous inversion for the space-dependent diffusion coefficient and the fractional order in the time-fractional diffusion equation
- Inverse problem for fractional diffusion equation
- An inverse problem for a one-dimensional time-fractional diffusion problem
- A Space-Time Spectral Method for the Time Fractional Diffusion Equation
- Conjugate gradient method for the Robin inverse problem associated with the Laplace equation
- Uniqueness in an inverse problem for a one-dimensional fractional diffusion equation
- A boundary element-based inverse-problem in estimating transient boundary conditions with conjugate gradient method
- FEM for time-fractional diffusion equations, novel optimal error analyses
- A tutorial on inverse problems for anomalous diffusion processes
- The Use of Finite Difference/Element Approaches for Solving the Time-Fractional Subdiffusion Equation
- A backward problem for the time-fractional diffusion equation
- Inverse problems for partial differential equations
- The random walk's guide to anomalous diffusion: A fractional dynamics approach
This page was built for publication: A numerical method for solving retrospective inverse problem of fractional parabolic equation
