A regularized integral equation method for the inverse geometry heat conduction problem

DOI10.1016/J.IJHEATMASSTRANSFER.2008.02.043zbMath1154.80368OpenAlexW2016420802MaRDI QIDQ955575

Chih-Wen Chang, Chia-Yen Chiang, Chein-Shan Liu

Publication date: 20 November 2008

Published in: International Journal of Heat and Mass Transfer (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.ijheatmasstransfer.2008.02.043

zbMATH Keywords

collocation methodFredholm integral equationtwo-point boundary value problemFourier seriesregularized solutionLavrentiev regularizationinverse geometry heat conduction problem

Mathematics Subject Classification ID

Fredholm integral equations (45B05) Numerical methods for inverse problems for integral equations (65R32) Inverse problems in thermodynamics and heat transfer (80A23)

Related Items (8)

Reconstruction of moving boundary for one-dimensional heat conduction equation by using the Lie-group shooting method ⋮ An adaptive greedy technique for inverse boundary determination problem ⋮ Boundary reconstruction in two-dimensional steady state anisotropic heat conduction using a regularized meshless method ⋮ A novel mixed group preserving scheme for the inverse Cauchy problem of elliptic equations in annular domains ⋮ A universal quantum circuit scheme for finding complex eigenvalues ⋮ Multiple network alignment on quantum computers ⋮ Determination of a part of boundary for the Cauchy problem for the Laplace equation ⋮ Reconstruction of part of a boundary for the Laplace equation by using a regularized method of fundamental solutions

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