An adaptive homotopy method for permeability estimation of a nonlinear diffusion equation

DOI10.1080/17415977.2012.712524zbMath1279.35063OpenAlexW2000033253MaRDI QIDQ2872705

Songshu Liu, Jingjun Zhao, Tao Liu

Publication date: 15 January 2014

Published in: Inverse Problems in Science and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/17415977.2012.712524

zbMATH Keywords

inverse problemsnonlinear diffusion equationTikhonov regularizationpermeabilityadaptive homotopy method

Mathematics Subject Classification ID

Nonlinear initial, boundary and initial-boundary value problems for linear parabolic equations (35K60) Flows in porous media; filtration; seepage (76S05) Inverse problems for PDEs (35R30) Numerical methods for inverse problems for initial value and initial-boundary value problems involving PDEs (65M32)

Related Items (4)

A wavelet multiscale-adaptive homotopy method for the inverse problem of nonlinear diffusion equation ⋮ A wavelet multiscale-homotopy method for the parameter identification problem of partial differential equations ⋮ The homotopy method for identifying the radiative source term in the heat conduction problem ⋮ A class of homotopy with regularization for nonlinear ill-posed problems in Hilbert space

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