A numerical method to solve identification problem for the lower coefficient and the source in the convection-reaction equation

DOI10.1007/S10559-018-0100-6zbMath1411.65124OpenAlexW2901826036WikidataQ128816653 ScholiaQ128816653MaRDI QIDQ1735322

Xianqiang Yang

Publication date: 28 March 2019

Published in: Cybernetics and Systems Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10559-018-0100-6

zbMATH Keywords

coefficient inverse problemnonlocal integral conditionconvection-reaction equationsemi-discrete problemcombined inverse problem

Mathematics Subject Classification ID

Reaction-diffusion equations (35K57) Numerical methods for inverse problems for initial value and initial-boundary value problems involving PDEs (65M32) Numerical methods for inverse problems for boundary value problems involving PDEs (65N21)

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Cites Work

• Numerical identification of the leading coefficient of a parabolic equation
• The inverse problem of determining the lower-order coefficient in parabolic equations with integral observation
• Computational identification of the right-hand side of a parabolic equation
• Parabolic equations with unknown time-dependent coefficients
• Recovery of the coefficient of \(u_t\) in the heat equation from a condition of nonlocal observation in time
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