Comparing numerical methods for inverse coefficient problem in parabolic equation

DOI10.1016/j.amc.2005.11.107zbMath1102.65095OpenAlexW2074555048MaRDI QIDQ849763

Afet Golayoglu Fatullayev, Emine Can, Nizami A. Gasilov

Publication date: 31 October 2006

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

Full work available at URL: https://doi.org/10.1016/j.amc.2005.11.107

zbMATH Keywords

algorithmscomparisonfinite difference methodnumerical examplesinverse problemsparabolic equationsunknown coefficientsoverspecified data

Mathematics Subject Classification ID

Inverse problems for PDEs (35R30) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Initial value problems for second-order parabolic equations (35K15) Numerical methods for inverse problems for initial value and initial-boundary value problems involving PDEs (65M32)

Related Items (3)

Numerical algorithms to estimate relaxation parameters and Caputo fractional derivative for a fractional thermal wave model in spherical composite medium ⋮ Reconstruction of a permeability field with the wavelet multiscale-homotopy method for a nonlinear convection-diffusion equation ⋮ The use of Chebyshev cardinal functions for the solution of a partial differential equation with an unknown time-dependent coefficient subject to an extra measurement

Cites Work

• Unnamed Item
• Numerical procedure for the determination of an unknown coefficients in parabolic equations
• Uniqueness theorems for some converse problems of heat conduction
• Monotonicity and Invertibility of Coefficient-to-Data Mappings for Parabolic Inverse Problems
• An inverse problem for a nonlinear diffusion equation

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