A linearized compact difference scheme for an one-dimensional parabolic inverse problem

DOI10.1016/j.apm.2008.02.007zbMath1168.65378OpenAlexW2073656913MaRDI QIDQ840191

Chao-Rong Ye, Zhi-zhong Sun

Publication date: 5 September 2009

Published in: Applied Mathematical Modelling (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.apm.2008.02.007

zbMATH Keywords

solvabilityparabolic equationdifference schemecontrol parametercompact difference scheme

Mathematics Subject Classification ID

Initial-boundary value problems for second-order parabolic equations (35K20) Inverse problems for PDEs (35R30) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06)

Related Items (6)

Error estimate of a Legendre-Galerkin Chebyshev collocation method for a class of parabolic inverse problem ⋮ A fourth-order compact difference scheme for the parabolic inverse problem with an overspecification at a point ⋮ Efficient Spectral Collocation Algorithm for Solving Parabolic Inverse Problems ⋮ The use of Chebyshev cardinal functions for the solution of a partial differential equation with an unknown time-dependent coefficient subject to an extra measurement ⋮ Identification of space-dependent permeability in nonlinear diffusion equation from interior measurements using wavelet multiscale method ⋮ An adaptive homotopy method for permeability estimation of a nonlinear diffusion equation

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