A stable space marching finite differences algorithm for the inverse heat conduction problem with no initial filtering procedure

DOI10.1016/0898-1221(90)90356-OzbMath0701.65081OpenAlexW2086356088MaRDI QIDQ914345

L. Guo, Diego A. Murio

Publication date: 1990

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0898-1221(90)90356-o

zbMATH Keywords

algorithmnumerical exampleTikhonov regularizationmollification methodsingular perturbation techniquesformal stabilitymarching finite differencesone-dimensional semi-infinite linear inverse sideways heat conductionstable space

Mathematics Subject Classification ID

Heat equation (35K05) Inverse problems for PDEs (35R30) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Applications to the sciences (65Z05)

Related Items (3)

Reconstruction of inaccessible boundary value in a sideways parabolic problem with variable coefficients -- forward collocation with finite integration method ⋮ A spring-damping regularization of the Fourier sine series solution to the inverse Cauchy problem for a 3D sideways heat equation ⋮ Multilevel algorithms for ill-posed problems

Cites Work

• A mollified space marching finite differences algorithm for the inverse heat conduction problem with slab symmetry
• An integral solution for the inverse heat conduction problem after the method of Weber
• The mollification method and the numerical solution of the inverse heat conduction problem by finite differences
• Calculation of the surface temperature and heat flux on one side of a wall from measurements on the opposite side
• Analysis and solution of the ill-posed inverse heat conduction problem
• Hyperbolic approximations for a Cauchy problem for the heat equation
• The Mollification Method and the Numerical Solution of an Inverse Heat Conduction Problem

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