Determination of a control function in three-dimensional parabolic equations

DOI10.1016/S0378-4754(01)00434-7zbMath1014.65097OpenAlexW2080340717MaRDI QIDQ1861514

Mehdi Dehghan

Publication date: 9 March 2003

Published in: Mathematics and Computers in Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0378-4754(01)00434-7

zbMATH Keywords

numerical experimentsparameter identificationparabolic inverse problemsfinite differences schemesoverspecificationsource control parameters

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)

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Cites Work

• An inverse problem of finding a parameter in a semi-linear heat equation
• A class of nonlinear non-classical parabolic equations
• Determination of source parameter in parabolic equations
• The modified equation approach to the stability and accuracy analysis of finite-difference methods
• Fully implicit finite differences methods for two-dimensional diffusion with a non-local boundary condition
• A finite difference method for a non-local boundary value problem for two-dimensional heat equation
• Determination of a parameter p(t) in some quasi-linear parabolic differential equations
• Numerical solutions of some parabolic inverse problems
• Inversion Theory for a Parameterized Diffusion Problem
• Determination of an unknown non-homogeneous term in a linear partial differential equation .from overspecified boundary data
• Extensions of a property of the heat equation to linear thermoelasticity and other theories
• Determination of parameter p(t) in Holder classes for some semilinear parabolic equations
• A finite-difference solution to an inverse problem for determining a control function in a parabolic partial differential equation
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