Numerical solution of inverse problems for a hyperbolic equation with a small parameter multiplying the highest derivative

DOI10.1134/S0012266118070078zbMath1406.65081OpenAlexW2887417009WikidataQ115250682 ScholiaQ115250682MaRDI QIDQ1798682

A. M. Denisov, S. I. Solovyeva

Publication date: 23 October 2018

Published in: Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0012266118070078

zbMATH Keywords

existenceinverse problemuniquenesssmall parameterhyperbolic equationVolterra equation

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Initial value problems for second-order hyperbolic equations (35L15) Volterra integral equations (45D05) Numerical methods for inverse problems for initial value and initial-boundary value problems involving PDEs (65M32)

Related Items

Approximation of the solution of an inverse problem for a singularly perturbed system of partial differential equations ⋮ Approximate solution of an inverse problem for a singularly perturbed integro-differential heat equation ⋮ Iterative method for solving an inverse problem for a hyperbolic equation with a small parameter multiplying the highest derivative ⋮ Approximate solution of inverse problems for the heat equation with a singular perturbation ⋮ Determining the intensity variation of heat sources in the heat equation

Cites Work

• Numerical determination of the initial condition in Cauchy problems for a hyperbolic equation with a small parameter
• Identification problems of wave phenomena. Theory and numerics
• Asymptotic expansions of solutions to inverse problems for a hyperbolic equation with a small parameter multiplying the highest derivative
• Inverse problems for partial differential equations
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