A Numerical Method of Solving the Coefficient Inverse Problem for the Nonlinear Equation of Diffusion-Reaction

DOI10.14529/MMP180113zbMath1404.65141OpenAlexW2801934177WikidataQ129940121 ScholiaQ129940121MaRDI QIDQ4692155

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Publication date: 26 October 2018

Published in: Bulletin of the South Ural State University. Series "Mathematical Modelling, Programming and Computer Software" (Search for Journal in Brave)

Full work available at URL: http://mathnet.ru/eng/vyuru425

zbMATH Keywords

diffusion-reaction equationcoefficient inverse problemintegral conditiondifferential-difference problemFisher-Kolmogorov-Petrovsky-Piskunov equationexplicitly implicit schemes

Mathematics Subject Classification ID

Reaction-diffusion equations (35K57) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Numerical methods for inverse problems for initial value and initial-boundary value problems involving PDEs (65M32) Inverse problems in thermodynamics and heat transfer (80A23)

Cites Work

• Unnamed Item
• The inverse problem of determining the lower-order coefficient in parabolic equations with integral observation
• An inverse coefficient problem for the heat equation in the case of nonlocal boundary conditions
• Parabolic equations with unknown time-dependent coefficients
• Inverse and ill-posed problems. Theory and applications.
• Numerical methods for solving inverse problems of mathematical physics.

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