Hölder-Type Approximation for the Spatial Source Term of a Backward Heat Equation

DOI10.1080/01630563.2010.528568zbMath1208.35168OpenAlexW2066682926MaRDI QIDQ3068666

Phan Thành Nam, Pham Ngoc Dinh, Alain, Dang Duc Trong, Mach Nguyet Minh

Publication date: 17 January 2011

Published in: Numerical Functional Analysis and Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/01630563.2010.528568

zbMATH Keywords

interpolationheat equationregularizationFourier seriesheat source

Mathematics Subject Classification ID

Heat equation (35K05) Inverse problems for PDEs (35R30) Numerical interpolation (65D05) Numerical methods for inverse problems for boundary value problems involving PDEs (65N21)

Related Items (2)

The body force in a three-dimensional Lamé system: identification and regularization ⋮ Numerical solution of two backward parabolic problems using method of fundamental solutions

Cites Work

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• A variational method for identifying a spacewise-dependent heat source
• A procedure for determining a spacewise dependent heat source and the initial temperature
• Reconstruction of spatial heat sources in heat conduction problems
• Determination of an Unknown Heat Source from Overspecified Boundary Data

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