Fast Finite Difference Approximation for Identifying Parameters in a Two-dimensional Space-fractional Nonlocal Model with Variable Diffusivity Coefficients

DOI10.1137/15M1019301zbMath1382.65290OpenAlexW2302272192MaRDI QIDQ2796854

Ian W. Turner, Fawang Liu, Kevin Burrage, Shi Ping Chen, Xiao-yun Jiang

Publication date: 30 March 2016

Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/15m1019301

zbMATH Keywords

parameter identificationvariable coefficientsimplicit difference methodFBi-CGSTABL-M regularization methodspace-fractional nonlocal model

Mathematics Subject Classification ID

Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Iterative numerical methods for linear systems (65F10) Nonlinear ill-posed problems (47J06) Numerical methods for inverse problems for initial value and initial-boundary value problems involving PDEs (65M32) Fractional partial differential equations (35R11)

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