Recovery of timewise‐dependent heat source for hyperbolic PDE from an integral condition

DOI10.1002/mma.6845zbMath1486.65151OpenAlexW3081908023MaRDI QIDQ5003902

M. J. Huntul, Mohammad Tamsir

Publication date: 30 July 2021

Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mma.6845

zbMATH Keywords

nonlinear optimizationNeumann boundary conditionsTikhonov regularizationhyperbolic equationintegral conditioninverse identification problem

Mathematics Subject Classification ID

Numerical optimization and variational techniques (65K10) Initial-boundary value problems for second-order hyperbolic equations (35L20) Ill-posed problems for PDEs (35R25) Inverse problems for PDEs (35R30) PDEs with randomness, stochastic partial differential equations (35R60) Numerical solutions of ill-posed problems in abstract spaces; regularization (65J20) Numerical methods for inverse problems for initial value and initial-boundary value problems involving PDEs (65M32) Numerical methods for ill-posed problems for initial value and initial-boundary value problems involving PDEs (65M30)

Related Items (7)

Solutions for non-homogeneous wave equations subject to unusual and Neumann boundary conditions ⋮ A meshless collocation method for solving the inverse Cauchy problem associated with the variable-order fractional heat conduction model under functionally graded materials ⋮ An inverse problem of reconstructing the time-dependent coefficient in a one-dimensional hyperbolic equation ⋮ Simultaneous reconstruction of time-dependent coefficients in the parabolic equation from over-specification conditions ⋮ Space-dependent heat source determination problem with nonlocal periodic boundary conditions ⋮ Determination of a time-dependent potential in the higher-order pseudo-hyperbolic problem ⋮ An inverse problem of fourth-order partial differential equation with nonlocal integral condition

Uses Software

• Matlab
• lsqnonlin

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