Computational identification of the right-hand side of a parabolic equation

DOI10.1134/S0965542515030185zbMath1325.65136OpenAlexW772063662WikidataQ57694511 ScholiaQ57694511MaRDI QIDQ498586

M. V. Vasil'eva, Petr N. Vabishchevich, Vasiliy I. Vasil'ev

Publication date: 29 September 2015

Published in: Computational Mathematics and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0965542515030185

zbMATH Keywords

algorithminverse problemsparabolic equationdifference schemesnumerical resultidentification of 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)

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Numerical Method for Solving the Inverse Problem of Non-Stationary Flow of Viscoelastic Fluid in the Pipe ⋮ Numerical solution of an inverse filtration problem ⋮ Numerical identification of the leading coefficient of a parabolic equation ⋮ A splitting scheme for diffusion and heat conduction problems ⋮ Determining of right-hand side of higher order ultraparabolic equation ⋮ Identification of a Time-Dependent Right-Hand Side of an Unsteady Equation with a Fractional Power of an Elliptic Operator ⋮ A numerical method to solve identification problem for the lower coefficient and the source in the convection-reaction equation ⋮ Computational identification of the time dependence of the right-hand side of a hyperbolic equation ⋮ Numerical solution of a source identification problem: almost coercivity ⋮ The Inverse Problem of the Simultaneous Determination of the Right-Hand Side and the Lowest Coefficients in Parabolic Equations

Cites Work

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• Numerical solution of the inverse problem of reconstructing a distributed right-hand side of a parabolic equation
• Numerical methods for solving inverse problems of mathematical physics.
• Computational Methods for Inverse Problems
• Inverse problems for partial differential equations

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