On the reconstruction of convection coefficient in a semilinear anomalous diffusion system
DOI10.11650/tjm/220301zbMath1498.35628OpenAlexW4225934430MaRDI QIDQ2083241
Publication date: 10 October 2022
Published in: Taiwanese Journal of Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.11650/tjm/220301
stabilitynon-homogeneous boundary conditionsidentification of convection coefficientmodified Levenberg-Marquardt algorithmsemilinear fractional diffusion equation
Initial-boundary value problems for second-order parabolic equations (35K20) 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) 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
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- Determination of time dependent factors of coefficients in fractional diffusion equations
- Identification of the zeroth-order coefficient in a time fractional diffusion equation
- Initial value/boundary value problems for fractional diffusion-wave equations and applications to some inverse problems
- On the solutions of time-fractional reaction-diffusion equations
- Mathematical modeling of time fractional reaction-diffusion systems
- Implicit finite difference approximation for time fractional diffusion equations
- Functional analysis, Sobolev spaces and partial differential equations
- Semigroups of linear operators and applications to partial differential equations
- Geometric theory of semilinear parabolic equations
- Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
- 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
- Operator theoretic treatment of linear Abel integral equations of first kind
- Time-fractional diffusion equation in the fractional Sobolev spaces
- An undetermined coefficient problem for a fractional diffusion equation
- Inverse problem for fractional diffusion equation
- Coefficient inverse problem for a fractional diffusion equation
- An inverse problem for a one-dimensional time-fractional diffusion problem
- Conditional stability in determining a zeroth-order coefficient in a half-order fractional diffusion equation by a Carleman estimate
- Uniqueness in an inverse problem for a one-dimensional fractional diffusion equation
- An Algorithm for Least-Squares Estimation of Nonlinear Parameters
- Reconstruction and stable recovery of source terms and coefficients appearing in diffusion equations
- Identifying a fractional order and a space source term in a time-fractional diffusion-wave equation simultaneously
- A tutorial on inverse problems for anomalous diffusion processes
- On an inverse potential problem for a fractional reaction–diffusion equation
- Concrete characterization of the domains of fractional powers of some elliptic differential operators of the second order
- A method for the solution of certain non-linear problems in least squares
- Simultaneous inversion of the potential term and the fractional orders in a multi-term time-fractional diffusion equation
- The random walk's guide to anomalous diffusion: A fractional dynamics approach
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