Convolution regularization method for backward problems of linear parabolic equations

DOI10.1016/J.APNUM.2015.12.009zbMath1346.65046OpenAlexW2413901712MaRDI QIDQ739024

Cong Shi, Ting Wei, Chen Wang

Publication date: 16 August 2016

Published in: Applied Numerical Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.apnum.2015.12.009

zbMATH Keywords

convergencenumerical exampleill-posed problemgeneralized discrepancy principlea posteriori parameter choiceconvolution regularization methoda priori parameter choicebackward problems for parabolic equations

Mathematics Subject Classification ID

Initial-boundary value problems for second-order parabolic equations (35K20) Ill-posed problems for PDEs (35R25) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Numerical methods for ill-posed problems for initial value and initial-boundary value problems involving PDEs (65M30)

Related Items (3)

On regularization and error estimates for the backward heat conduction problem with time-dependent thermal diffusivity factor ⋮ Determination of initial distribution for a space-fractional diffusion equation with time-dependent diffusivity ⋮ A two dimensional discrete mollification operator and the numerical solution of an inverse source problem

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