On Tikhonov's method and optimal error bound for inverse source problem for a time-fractional diffusion equation
DOI10.1016/j.camwa.2020.02.024zbMath1445.35328OpenAlexW3011608263MaRDI QIDQ2192538
Dinh Nguyen Duy Hai, Tran Quoc Viet, Nguyen Minh Dien, Dang Duc Trong
Publication date: 17 August 2020
Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.camwa.2020.02.024
Optimality conditions for problems involving partial differential equations (49K20) Ill-posed problems for PDEs (35R25) Inverse problems for PDEs (35R30) Initial value problems for second-order parabolic equations (35K15) Fractional partial differential equations (35R11)
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- Initial-boundary value problems for multi-term time-fractional diffusion equations with positive constant coefficients
- Analytical solutions for the multi-term time-fractional diffusion-wave/diffusion equations in a finite domain
- Optimal error bound and simplified Tikhonov regularization method for a backward problem for the time-fractional diffusion equation
- Initial value/boundary value problems for fractional diffusion-wave equations and applications to some inverse problems
- The analysis of fractional differential equations. An application-oriented exposition using differential operators of Caputo type
- Implicit finite difference approximation for time fractional diffusion equations
- Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
- Detailed error analysis for a fractional Adams method
- A predictor-corrector approach for the numerical solution of fractional differential equations
- Optimal regularization for an unknown source of space-fractional diffusion equation
- A mollification regularization method for the inverse spatial-dependent heat source problem
- Quasi-reversibility method to identify a space-dependent source for the time-fractional diffusion equation
- Regularized solution of an inverse source problem for a time fractional diffusion equation
- A Tikhonov-type method for solving a multidimensional inverse heat source problem in an unbounded domain
- A modified quasi-boundary value method for an inverse source problem of the time-fractional diffusion equation
- Maximum principle for the generalized time-fractional diffusion equation
- Nonhomogeneous heat equation: identification and regularization for the inhomogeneous term
- Computational Methods for Fluid Dynamics
- An inverse time-dependent source problem for a time-fractional diffusion equation
- The determination of an unknown boundary condition in a fractional diffusion equation
- Two-parameter discrepancy principle for combined projection and Tikhonov regularization of ill-posed problems
- An optimal method for fractional heat conduction problem backward in time
- The Exponentially Convergent Trapezoidal Rule
- Carleman estimate for a fractional diffusion equation with half order and application
- Approximate controllability for fractional diffusion equations by interior control
- Convergence rates for Tikhonov regularisation of non-linear ill-posed problems
- Identifying an unknown source term in a heat equation
- Uniqueness in an inverse problem for a one-dimensional fractional diffusion equation
- A Fast Method for the Numerical Evaluation of Continuous Fourier and Laplace Transforms
- Algorithm 760: Rectangular-grid-data surface fitting that has the accuracy of a bicubic polynomial
- Optimality for ill-posed problems under general source conditions
- The restaurant at the end of the random walk: recent developments in the description of anomalous transport by fractional dynamics
- Optimal Filtering for the Backward Heat Equation
- Error Estimates for a Semidiscrete Finite Element Method for Fractional Order Parabolic Equations
- Numerical Evaluation of Two and Three Parameter Mittag-Leffler Functions
- An inverse problem for space‐fractional backward diffusion problem
- Iterative Solution of Implicit Approximations of Multidimensional Partial Differential Equations
- An introduction to the mathematical theory of inverse problems
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