The Inverse Problem of the Simultaneous Determination of the Right-Hand Side and the Lowest Coefficients in Parabolic Equations

DOI10.1007/978-3-319-57099-0_72zbMath1368.65175OpenAlexW2605799867MaRDI QIDQ5275014

Lingde Su, Vasiliy I. Vasil'ev, Petr N. Vabishchevich

Publication date: 7 July 2017

Published in: Lecture Notes in Computer Science (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-319-57099-0_72

zbMATH Keywords

inverse problemfinite difference methodnumerical experimentparabolic partial differential equationidentification of the coefficients

Mathematics Subject Classification ID

Initial-boundary value problems for second-order parabolic equations (35K20) Inverse problems for PDEs (35R30) 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)

Related Items (2)

Iteration method for solving the problem of determining the coefficient and the source in the heat equation ⋮ Numerical methods for determining the coefficient and the source term in the heat equation

Uses Software

• Regularization tools

Cites Work

• Unnamed Item
• 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
• Regularization tools: A Matlab package for analysis and solution of discrete ill-posed problems
• An inverse problem of finding a source parameter in a semilinear parabolic equation
• Level set and total variation regularization for elliptic inverse problems with discontinuous coefficients.
• The inverse problem of the simultaneous determination of the right-hand side and the lowest coefficient in parabolic equations with many space variables
• Numerical methods for solving inverse problems of mathematical physics.
• Inverse problems for partial differential equations

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