Determination of initial distribution for a space-fractional diffusion equation with time-dependent diffusivity
DOI10.1007/s40840-021-01118-7zbMath1481.65175OpenAlexW3158117823MaRDI QIDQ2049032
Tra Quoc Khanh, Tran Nhat Luan
Publication date: 24 August 2021
Published in: Bulletin of the Malaysian Mathematical Sciences Society. Second Series (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s40840-021-01118-7
Fractional derivatives and integrals (26A33) Ill-posed problems for PDEs (35R25) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Numerical methods for discrete and fast Fourier transforms (65T50) Nonlinear ill-posed problems (47J06) Finite difference methods for boundary value problems involving PDEs (65N06) Numerical methods for ill-posed problems for initial value and initial-boundary value problems involving PDEs (65M30) Fractional partial differential equations (35R11)
Cites Work
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- Recovering the initial distribution for space-fractional diffusion equation by a logarithmic regularization method
- On a Riesz-Feller space fractional backward diffusion problem with a nonlinear source
- Some novel linear regularization methods for a deblurring problem
- A tau approach for solution of the space fractional diffusion equation
- Continuity of solutions of a class of fractional equations
- Convolution regularization method for backward problems of linear parabolic equations
- Approximation of the Lévy-Feller advection-dispersion process by random walk and finite difference method
- A non-local boundary value problem method for parabolic equations backward in time
- Stability results for the heat equation backward in time
- The influence of non-constant diffusivities on solar ponds stability
- Continuous dependence on modeling for some well-posed perturbations of the backward heat equation
- Solving the backward problem in Riesz-Feller fractional diffusion by a new nonlocal regularization method
- On a space fractional backward diffusion problem and its approximation of local solution
- On the axisymmetric backward heat equation with non-zero right hand side: regularization and error estimates
- Recovering the historical distribution for nonlinear space-fractional diffusion equation with temporally dependent thermal conductivity in higher dimensional space
- On optimal regularization methods for the backward heat equation
- Solving the backward problem for space-fractional diffusion equation by a fractional Tikhonov regularization method
- Regularization technique for an inverse space-fractional backward heat conduction problem
- A new collection of real world applications of fractional calculus in science and engineering
- Stepwise regularization method for a nonlinear Riesz-Feller space-fractional backward diffusion problem
- The simplified Tikhonov regularization method for solving a Riesz-Feller space-fractional backward diffusion problem
- Two numerical methods for solving a backward heat conduction problem
- A Fractional Laplace Equation: Regularity of Solutions and Finite Element Approximations
- Two regularization methods for solving a Riesz–Feller space-fractional backward diffusion problem
- A Well Posed Problem for the Backward Heat Equation
- Fractal dimensionality of Lévy processes
- Digital Removal of Random Media Image Degradations by Solving the Diffusion Equation Backwards in Time
- Multidimensional solutions of space–fractional diffusion equations
- Random walk models approximating symmetric space-fractional diffusion processes
- A Fast Finite Difference Method for Two-Dimensional Space-Fractional Diffusion Equations
- Optimal Regularity and Error Estimates of a Spectral Galerkin Method for Fractional Advection-Diffusion-Reaction Equations
- Numerical Methods for the Fractional Laplacian: A Finite Difference-Quadrature Approach
- A class of second order difference approximations for solving space fractional diffusion equations
- Determining the initial distribution in space-fractional diffusion by a negative exponential regularization method
- Numerical Approximation of a Time Dependent, Nonlinear, Space‐Fractional Diffusion Equation
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