A spectral method for an axisymmetric backward heat equation

DOI10.1080/17415970903063193zbMath1186.65130OpenAlexW2081863784MaRDI QIDQ3647595

Wei Cheng, Chu-Li Fu

Publication date: 23 November 2009

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

Full work available at URL: https://doi.org/10.1080/17415970903063193

zbMATH Keywords

inverse problemerror estimatespectral methodill-posed problemaxisymmetric backward heat conduction equation

Mathematics Subject Classification ID

Heat equation (35K05) Ill-posed problems for PDEs (35R25) Inverse problems for PDEs (35R30) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) 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)

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On an asymmetric backward heat problem with the space and time-dependent heat source on a disk, Stabilizing the nonlinear spherically symmetric backward heat equation via two-parameter regularization method, Nonlinear wavelet methods for high-dimensional backward heat equation, On an initial inverse problem in nonlinear heat equation associated with time-dependent coefficient., On the axisymmetric backward heat equation with non-zero right hand side: regularization and error estimates, Two-parameter regularization method for an axisymmetric inverse heat problem, An asymmetric backward problem for the inhomogeneous parabolic equation with time-dependent diffusivity, On a backward heat conduction problem associated with asymmetric final data, Sharp estimates for approximations to a nonlinear backward heat equation

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