Analytical solutions of a class of inverse coefficient problems

DOI10.1016/j.aml.2012.07.010zbMath1251.35190OpenAlexW1972814011MaRDI QIDQ714606

Salih Tatar, Zhen-Hai Liu

Publication date: 11 October 2012

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2012.07.010

zbMATH Keywords

Green functionnonlocal boundary conditioninverse coefficient problemsemi-linear parabolic equation

Mathematics Subject Classification ID

Inverse problems for PDEs (35R30) Transform methods (e.g., integral transforms) applied to PDEs (35A22) Second-order parabolic equations (35K10) PDEs in connection with control and optimization (35Q93)

Related Items (1)

Moving least squares method for a one-dimensional parabolic inverse problem

Cites Work

• A study on the convergence of variational iteration method
• Variational iteration method for solving an inverse parabolic equation
• Variational iteration method -- a kind of non-linear analytical technique: Some examples
• An inverse coefficient problem for a nonlinear parabolic variational inequality
• Variational iteration method: New development and applications
• Variational iteration method -- some recent results and new interpretations
• He's variational iteration method for computing a control parameter in a semi-linear inverse parabolic equation
• Identifying an unknown function in a parabolic equation with overspecified data via He's variational iteration method
• Determination of a parameter p(t) in some quasi-linear parabolic differential equations
• Determination of the unknown time dependent coefficient p(t) in the parabolic equation u_t = Δu + p(t)u + φ(x, t)

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