Identifying an unknown source term in a time-space fractional parabolic equation
DOI10.1016/j.apnum.2021.04.016zbMath1475.65112OpenAlexW3157855833MaRDI QIDQ2029176
Nguyen Van Thang, Luong Duy Nhat Minh, Nguyen Van Duc, Nguyen Trung Thành
Publication date: 3 June 2021
Published in: Applied Numerical Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.apnum.2021.04.016
error estimateinverse source problemstability estimatesmollification regularizationnon-iterative reconstruction methodtime-space fractional parabolic equation
Fractional derivatives and integrals (26A33) Inverse problems for PDEs (35R30) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) A priori estimates in context of PDEs (35B45) Numerical methods for discrete and fast Fourier transforms (65T50) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Numerical methods for inverse problems for initial value and initial-boundary value problems involving PDEs (65M32) Fractional partial differential equations (35R11)
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- A parabolic problem with a fractional time derivative
- Determination of a term in the right-hand side of parabolic equations
- Identification of an unknown time-dependent heat source term from overspecified Dirichlet boundary data by conjugate gradient method
- Harnack's inequality for a space-time fractional diffusion equation and applications to an inverse source problem
- Initial value/boundary value problems for fractional diffusion-wave equations and applications to some inverse problems
- Stability results for the heat equation backward in time
- The mollification method and the numerical solution of the inverse heat conduction problem by finite differences
- An inverse problem for an unknown source in a heat equation
- Determination of a source term in a linear parabolic partial differential equation
- A mollification method for ill-posed problems
- Inverse source problem for parabolic equation with the condition of integral observation in time
- Inverse source problem for a space-time fractional diffusion equation
- A mollification method for a noncharacteristic Cauchy problem for a parabolic equation
- A fractional diffusion equation to describe Lévy flights
- Optimal regularization for an unknown source of space-fractional diffusion equation
- New numerical simulations for some real world problems with Atangana-Baleanu fractional derivative
- The quasi-boundary value regularization method for identifying the initial value with discrete random noise
- A mollification method for backward time-fractional heat equation
- Real world applications of fractional models by Atangana-Baleanu fractional derivative
- A new fractional analysis on the polluted lakes system
- Modeling chickenpox disease with fractional derivatives: from Caputo to Atangana-Baleanu
- Determination of a source in the heat equation from integral observations
- Inverse problem for a time-fractional parabolic equation
- Inverse source problem in a space fractional diffusion equation from the final overdetermination.
- An inverse time-dependent source problem for a time-space fractional diffusion equation
- The quasi-reversibility regularization method for identifying the unknown source for time fractional diffusion equation
- An a posteriori mollification method for the heat equation backward in time
- A modified quasi-boundary value method for an inverse source problem of the time-fractional diffusion equation
- Regularity estimates for the solution and the free boundary of the obstacle problem for the fractional Laplacian
- Determination of a two-dimensional heat source: uniqueness, regularization and error estimate
- Reconstruction of a time-dependent source term in a time-fractional diffusion equation
- Regularization of backward time-fractional parabolic equations by Sobolev-type equations
- On the reconstruction of unknown time-dependent boundary sources for time fractional diffusion process by distributing measurement
- Simultaneous inversion for the exponents of the fractional time and space derivatives in the space-time fractional diffusion equation
- An inverse time-dependent source problem for a time-fractional diffusion equation
- A mollification regularization method for unknown source in time-fractional diffusion equation
- An inverse source problem for a one-dimensional space–time fractional diffusion equation
- The inverse source problem for time-fractional diffusion equation: stability analysis and regularization
- Identifying an unknown source term in a heat equation
- Optimality for ill-posed problems under general source conditions
- Inverse problem for a space‐time fractional diffusion equation: Application of fractional Sturm‐Liouville operator
- Inverse source problems for a space–time fractional differential equation
- Error Analysis of a Finite Element Method for the Space-Fractional Parabolic Equation
- Stability results for backward time-fractional parabolic equations
- A tutorial on inverse problems for anomalous diffusion processes
- Numerical Evaluation of Two and Three Parameter Mittag-Leffler Functions
- Determination of an unknown source term for an inverse source problem of the time-fractional equation
- Determination of an Unknown Heat Source from Overspecified Boundary Data
- The Identity of Weak and Strong Extensions of Differential Operators
- A backward problem for the time-fractional diffusion equation
- The random walk's guide to anomalous diffusion: A fractional dynamics approach