Recovering the historical distribution for nonlinear space-fractional diffusion equation with temporally dependent thermal conductivity in higher dimensional space

DOI10.1016/j.cam.2018.06.018zbMath1402.65089OpenAlexW2808740699MaRDI QIDQ1789691

Tran Thi Khieu, Hoang-Hung Vo

Publication date: 10 October 2018

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cam.2018.06.018

zbMATH Keywords

inverse problemTikhonov regularizationfractional LaplacianHölder estimatetemporally dependent thermal conductivity

Mathematics Subject Classification ID

Inverse problems for PDEs (35R30) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Complexity and performance of numerical algorithms (65Y20) Fractional partial differential equations (35R11) Numerical methods for ill-posed problems for boundary value problems involving PDEs (65N20)

Related Items

Hölder-logarithmic type approximation for nonlinear backward parabolic equations connected with a pseudo-differential operator, Stability Results for Backward Nonlinear Diffusion Equations with Temporal Coupling Operator of Local and Nonlocal Type, Regularization technique for an inverse space-fractional backward heat conduction problem, The bi-Helmholtz equation with Cauchy conditions: ill-posedness and regularization methods, The backward problem for nonlinear fractional diffusion equation with time-dependent order, Determination of initial distribution for a space-fractional diffusion equation with time-dependent diffusivity

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