Detection and identification of multiple unknown time-dependent point sources occurring in 1D evolution transport equations

DOI10.1080/17415977.2016.1172224zbMath1359.65177OpenAlexW2335617655WikidataQ56587760 ScholiaQ56587760MaRDI QIDQ2974030

Adel Hamdi

Publication date: 5 April 2017

Published in: Inverse Problems in Science and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/17415977.2016.1172224

zbMATH Keywords

data assimilationnonlinear inverse source problemsurface water pollutionevolution advection-diffusion-reaction equationimpulse response techniques

Mathematics Subject Classification ID

Initial-boundary value problems for second-order parabolic equations (35K20) Numerical methods for inverse problems for initial value and initial-boundary value problems involving PDEs (65M32)

Related Items (5)

A local meshless procedure to determine the unknown control parameter in the multi-dimensional inverse problems ⋮ DMLPG method for specifying a control function in two-dimensional parabolic inverse PDEs ⋮ Detection-Identification of multiple unknown time-dependent point sources in a 2D transport equation: application to accidental pollution ⋮ Reconstruction of unknown storativity and transmissivity functions in 2D groundwater equations ⋮ A non-iterative method for identifying multiple unknown time-dependent sources compactly supported occurring in a 2D parabolic equation

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