A numerical solution technique for a one-dimensional inverse nonlinear parabolic problem

DOI10.1016/J.AMC.2006.05.183zbMath1173.65336OpenAlexW1969705159MaRDI QIDQ879481

N. E. Zubov

Publication date: 14 May 2007

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2006.05.183

zbMATH Keywords

algorithmstabilityconvergenceleast-squares methodconsistencynumerical examplesfinite-difference methodTaylor's series expansionunknown coefficientinverse nonlinear parabolic problem

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) 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) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Numerical methods for inverse problems for initial value and initial-boundary value problems involving PDEs (65M32)

Related Items (5)

Identification of a time-dependent coefficient in heat conduction problem by new iteration method ⋮ A numerical method based on the polynomial regression for the inverse diffusion problem ⋮ Erratum to: ``A numerical solution technique for a one-dimensional inverse nonlinear parabolic problem ⋮ Finite volume method for solving a one-dimensional parabolic inverse problem ⋮ Efficient Spectral Collocation Algorithm for Solving Parabolic Inverse Problems

Cites Work

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• Periodic B-spline basis for quasi-steady periodic inverse heat conduction
• A method for solving an inverse biharmonic problem
• Numerical solution of inverse heat conduction problem with nonstationary measurements
• Application of the finite difference method to analyse an ill-posed problem
• An Inverse Problem for a Nonlinear Diffusion Equation
• Monotonicity and Uniqueness Results in Identifying an Unknown Coefficient in a Nonlinear Diffusion Equation

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