Solutions for non-homogeneous wave equations subject to unusual and Neumann boundary conditions

Hussein, S.O.; Dyhoum, Taysir E.

doi:10.1016/j.amc.2022.127285

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Cited by 2 publications

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“…To gain suitable results we apply the Tikhonov's regularization method due to ill-posedness of the problem. The cost functional can be constructed from 5 for more details see [15], [17], [4], [19];…”

Section: Inverse Problemmentioning

confidence: 99%

Numerical identification of timewise dependent coefficient in Hyperbolic inverse problem

2023

Advances in the Theory of Nonlinear Analysis and Its Application

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This article investigates the nonlocal inverse initial boundary-value problem in a rectangular domain, hyperbolic second order inverse problem. The main objective is to find the unidentified coefficient and offer a solution to the problem. The hyperbolic second-order, nonlinear equation is solved using finite difference method (FDM). However, the inverse problem was successfully solved by the MATLAB subroutine lsqnonlin from the optimization toolbox after being reformulated as a nonlinear regularized least-square op-timization problem with a simple bound on the unknown quantity. Given that the studied problem is often ill-posed and that even a minor error in the input data can have a large impact on the output. Tikhonov's regularization technique is used to generate stable and accurate results.

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Section: Inverse Problemmentioning

confidence: 99%

Numerical identification of timewise dependent coefficient in Hyperbolic inverse problem

2023

Advances in the Theory of Nonlinear Analysis and Its Application

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Numerical solution to inverse coefficient problem for hyperbolic equation under overspecified condition of general integral type

Qahtan,

Hussein

2024

2ND INTERNATIONAL CONFERENCE FOR ENGINEERING SCIENCES AND INFORMATION TECHNOLOGY (ESIT 2022): ESIT2022 Conference Proceedings

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Solutions for non-homogeneous wave equations subject to unusual and Neumann boundary conditions

Cited by 2 publications

References 9 publications

Numerical identification of timewise dependent coefficient in Hyperbolic inverse problem

Numerical identification of timewise dependent coefficient in Hyperbolic inverse problem

Numerical solution to inverse coefficient problem for hyperbolic equation under overspecified condition of general integral type

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