Numerical inversions for space-dependent diffusion coefficient in the time fractional diffusion equation

DOI10.1515/jip-2011-0012zbMath1279.35091OpenAlexW2320497277MaRDI QIDQ5745505

Xianzheng Jia, Gongsheng Li, Wenjuan Gu

Publication date: 30 January 2014

Published in: jiip (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/jip-2011-0012

zbMATH Keywords

inverse problemfinite difference schemenumerical inversionstability and convergencetime fractional diffusion equationoptimal perturbation regularization algorithmnumerical uniquenessspace-dependent diffusion coefficient

Mathematics Subject Classification ID

Inverse problems for PDEs (35R30) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Fractional partial differential equations (35R11)

Related Items (10)

Uniquely identifying the variable order of time-fractional partial differential equations on general multi-dimensional domains ⋮ Identification of time-dependent convection coefficient in a time-fractional diffusion equation ⋮ Simultaneous inversion for a diffusion coefficient and a spatially dependent source term in the SFADE ⋮ Numerical Solution to the Space-Time Fractional Diffusion Equation and Inversion for the Space-Dependent Diffusion Coefficient ⋮ Compact finite-difference method for 2D time-fractional convection-diffusion equation of groundwater pollution problems ⋮ Numerical identification of multiparameters in the space fractional advection dispersion equation by final observations ⋮ Bayesian Inference Using Intermediate Distribution Based on Coarse Multiscale Model for Time Fractional Diffusion Equations ⋮ A two-stage ensemble Kalman filter based on multiscale model reduction for inverse problems in time fractional diffusion-wave equations ⋮ Numerical inversions for diffusion coefficients in two-dimensional space fractional diffusion equation ⋮ Numerical Estimation of a Diffusion Coefficient in Subdiffusion

This page was built for publication: Numerical inversions for space-dependent diffusion coefficient in the time fractional diffusion equation