Compact filtering as a regularization technique for a backward heat conduction problem

DOI10.1016/j.apnum.2020.02.003zbMath1436.65134OpenAlexW3005738154MaRDI QIDQ1986140

Ankita Shukla, Mani Mehra

Publication date: 7 April 2020

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

Full work available at URL: https://doi.org/10.1016/j.apnum.2020.02.003

zbMATH Keywords

dispersion relationill-posed problembackward heat conduction problemcompact difference schemecompact filtering

Mathematics Subject Classification ID

Heat equation (35K05) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Laplace transform (44A10) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Numerical methods for inverse problems for initial value and initial-boundary value problems involving PDEs (65M32) Numerical methods for ill-posed problems for initial value and initial-boundary value problems involving PDEs (65M30) PDEs in connection with classical thermodynamics and heat transfer (35Q79)

Related Items (1)

Simultaneous determination of the space-dependent source and initial value for a two-dimensional heat conduction equation

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