An inverse problem for investigating the time-dependent coefficient in a higher-order equation

DOI10.1007/S40314-022-01829-YzbMath1499.65470OpenAlexW4221108835MaRDI QIDQ2125916

Muhammad Abbas, Muhammad Kashif Iqbal, M. J. Huntul

Publication date: 14 April 2022

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

Full work available at URL: https://doi.org/10.1007/s40314-022-01829-y

zbMATH Keywords

optimizationinverse problemstability analysisnonlinear optimizationTikhonov regularizationsixth-order PDE

Mathematics Subject Classification ID

Numerical optimization and variational techniques (65K10) Numerical solutions of ill-posed problems in abstract spaces; regularization (65J20) Ultraparabolic equations, pseudoparabolic equations, etc. (35K70) 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) Numerical solution of discretized equations for initial value and initial-boundary value problems involving PDEs (65M22)

Related Items (1)

Simultaneous determination of the time‐dependent potential and force terms in a fourth‐order Rayleigh–Love equation

Uses Software

• Optimization Toolbox

Cites Work

• Unnamed Item
• On an inverse boundary-value problem for a pseudoparabolic third-order equation with integral condition of the first kind
• Inverse problem for 1D pseudo-parabolic equation
• Differential and difference boundary value problem for loaded third-order pseudo-parabolic differential equations and difference methods for their numerical solution
• Asymptotic behaviour of the solutions of inverse problems for pseudo-parabolic equations
• Inverse boundary value problem for a fractional differential equations of mixed type with integral redefinition conditions
• The nonlocal inverse problem of the identification of the lowest coefficient and the right-hand side in a second-order parabolic equation with integral conditions
• An inverse problem for the pseudo-parabolic equation with p-Laplacian
• Inverse boundary-value problem for an integro-differential Boussinesq-type equation with degenerate kernel
• Reconstructing an unknown potential term in the third-order pseudo-parabolic problem
• An inverse problem for a pseudoparabolic operator equation
• On some nonlocal inverse boundary problem for partial differential equations of third order
• Inverse problems for the stationary and pseudoparabolic equations of diffusion
• Determination of a time-dependent potential in the higher-order pseudo-hyperbolic problem

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