Solving the backward problem in Riesz-Feller fractional diffusion by a new nonlocal regularization method

DOI10.1016/j.apnum.2018.08.008zbMath1404.65147OpenAlexW2888185296MaRDI QIDQ1615845

Guang-Hui Zheng

Publication date: 31 October 2018

Published in: Applied Numerical Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.apnum.2018.08.008

zbMATH Keywords

backward problema posteriori parameter choiceconvergence rate estimatenonlocal regularization methodRiesz-Feller fractional diffusion

Mathematics Subject Classification ID

Regularity of solutions in optimal control (49N60) Numerical methods for discrete and fast Fourier transforms (65T50) Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42A38) PDEs with randomness, stochastic partial differential equations (35R60) Numerical methods for inverse problems for initial value and initial-boundary value problems involving PDEs (65M32) Fractional partial differential equations (35R11) Numerical methods for ill-posed problems for boundary value problems involving PDEs (65N20)

Related Items (3)

Regularization technique for an inverse space-fractional backward heat conduction problem ⋮ Filter regularization method for a nonlinear Riesz-Feller space-fractional backward diffusion problem with temporally dependent thermal conductivity ⋮ Determination of initial distribution for a space-fractional diffusion equation with time-dependent diffusivity

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