Nonhomogeneous backward heat conduction problem: compact filter regularization and error estimates

DOI10.1007/s12190-019-01296-5OpenAlexW2982324085MaRDI QIDQ2053298

Mani Mehra, Ankita Shukla

Publication date: 29 November 2021

Published in: Journal of Applied Mathematics and Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s12190-019-01296-5

zbMATH Keywords

ill-posed problembackward heat conduction problemnonhomogeneous heatcompact filter regularization

Mathematics Subject Classification ID

Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems (65Mxx) Miscellaneous topics in partial differential equations (35Rxx) Thermodynamics and heat transfer (80Axx)

Cites Work

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• A Kernel-based Method for the Approximate Solution of Backward Parabolic Problems
• Optimal Filtering for the Backward Heat Equation
• Inverse problems for partial differential equations
• An iterative boundary element method for solving the one-dimensional backward heat conduction problem

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