Simultaneous determination of unknown coefficients in a parabolic equation

DOI10.1080/00036810802140616zbMath1151.65342OpenAlexW2002738717MaRDI QIDQ5503680

Ismihan Yusubov, Afet Golayoglu Fatullayev, Nizami A. Gasilov

Publication date: 16 January 2009

Published in: Applicable Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00036810802140616

zbMATH Keywords

inverse problemparabolic equationfinite-difference methodTikhonov regularizationunknown coefficientsnumerical algorithm

Mathematics Subject Classification ID

Inverse problems for PDEs (35R30) 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 (12)

The Fourier spectral method for determining a heat capacity coefficient in a parabolic equation ⋮ The inverse problem of finding the time-dependent diffusion coefficient of the heat equation from integral overdetermination data ⋮ Existence and uniqueness of the solution for an inverse problem of a fractional diffusion equation with integral condition ⋮ Simultaneous determination of time-dependent coefficients in the heat equation ⋮ The inverse problem of the heat equation with periodic boundary and integral overdetermination conditions ⋮ Iteration method for solving the problem of determining the coefficient and the source in the heat equation ⋮ Solvability and Blow-up of Solutions of Semi Linear Parabolic Problem with Integral Condition of Second Type ⋮ An inverse problem of finding a time-dependent coefficient in a fractional diffusion equation ⋮ Numerical methods for determining the coefficient and the source term in the heat equation ⋮ An inverse coefficient problem for the heat equation in the case of nonlocal boundary conditions ⋮ Inverse coefficient problem of the parabolic equation with periodic boundary and integral overdetermination conditions ⋮ Unique solvability for an inverse problem of a nonlinear parabolic PDE with nonlocal integral overdetermination condition

Cites Work

• An inverse problem of finding a parameter in a semi-linear heat equation
• Determination of source parameter in parabolic equations
• Determination of a parameter p(t) in some quasi-linear parabolic differential equations
• An Inverse Problem for a Class of Quasilinear Parabolic Equations
• Numerical procedures for the determination of an unknown coefficient in semi-linear parabolic differential equations
• Numerical procedure for the simultaneous determination of unknown coefficients in a parabolic equation

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