Removal of numerical instability in the solution of an inverse heat conduction problem

DOI10.1016/j.cnsns.2008.08.002zbMath1221.65251OpenAlexW2014114578MaRDI QIDQ717367

D. Kharzeev

Publication date: 2 October 2011

Published in: Communications in Nonlinear Science and Numerical Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cnsns.2008.08.002

zbMATH Keywords

instabilityexistenceuniquenessinverse heat conduction problem

Mathematics Subject Classification ID

Lyapunov and other classical stabilities (Lagrange, Poisson, (L^p, l^p), etc.) in control theory (93D05) Heat equation (35K05) Numerical methods for inverse problems for initial value and initial-boundary value problems involving PDEs (65M32)

Related Items (14)

Solving a nonlinear inverse system of Burgers equations ⋮ Identification of a time dependent source function in a parabolic inverse problem via finite element approach ⋮ Solving an inverse heat conduction problem using genetic algorithm: sequential and multi-core parallelization approach ⋮ Modeling the one-dimensional inverse heat transfer problem using a Haar wavelet collocation approach ⋮ Solving an inverse initial-boundary-value problem using basis function method ⋮ Applications of Haar basis method for solving some ill-posed inverse problems ⋮ A hybrid scheme for time fractional inverse parabolic problem ⋮ Existence and uniqueness of a solution for a two dimensional nonlinear inverse diffusion problem ⋮ The direct and inverse problem for an inclusion within a heat-conducting layered medium ⋮ A numerical approach to solving an inverse heat conduction problem using the Levenberg-Marquardt algorithm ⋮ A numerical technique for solving IHCPs using Tikhonov regularization method ⋮ A numerical solution of a two-dimensional IHCP ⋮ A numerical method for solving a nonlinear inverse parabolic problem ⋮ RESOLUTION OF AN INVERSE PROBLEM BY HAAR BASIS AND LEGENDRE WAVELET METHODS

Cites Work

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• The decomposition approach to inverse heat conduction
• A numerical solution of an inverse parabolic problem with unknown boundary conditions
• A numerical method for solving of a nonlinear inverse diffusion problem
• Numerical approximation of solution of an inverse heat conduction problem based on Legendre polynomials

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