Regularization method for the radially symmetric inverse heat conduction problem

DOI10.1186/s13661-017-0890-xzbMath1386.35132OpenAlexW2766726252WikidataQ59482236 ScholiaQ59482236MaRDI QIDQ1678068

Leïla Alem, Ibtissem Djerrar, Lahcène Chorfi

Publication date: 14 November 2017

Published in: Boundary Value Problems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13661-017-0890-x

zbMATH Keywords

Laplace transformTikhonov regularizationill-posed problemradially symmetric heat equation

Mathematics Subject Classification ID

Heat equation (35K05) Inverse problems for PDEs (35R30) Laplace transform (44A10) Finite difference methods for boundary value problems involving PDEs (65N06)

Related Items (2)

Three Landweber iterative methods for solving the initial value problem of time-fractional diffusion-wave equation on spherically symmetric domain ⋮ The fractional Tikhonov regularization methods for identifying the initial value problem for a time-fractional diffusion equation

Uses Software

• Regularization tools

Cites Work

• Simplified Tikhonov and Fourier regularization methods on a general sideways parabolic equation
• A modified Tikhonov regularization method for an axisymmetric backward heat equation
• On a radially symmetric inverse heat conduction problem
• Source term identification for an axisymmetric inverse heat conduction problem
• Solving the axisymmetric inverse heat conduction problem by a wavelet dual least squares method
• Regularization and stability estimates for an inverse source problem of the radially symmetric parabolic equation
• Regularization tools version \(4.0\) for matlab \(7.3\)
• Numerical methods for solving a boundary-value inverse heat conduction problem
• Two regularization methods for an axisymmetric inverse heat conduction problem
• Numerical Solution of First-Kind Volterra Equations by Sequential Tikhonov Regularization
• Wavelet and Fourier Methods for Solving the Sideways Heat Equation
• A spectral method for solving the sideways heat equation
• A method of fundamental solutions for radially symmetric and axisymmetric backward heat conduction problems
• An introduction to the mathematical theory of inverse problems
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