Identification of the Time-Dependent Point Source in a System of two Coupled Two Dimension Diffusion-Advection-Reaction Equations: Application to Groundwater Pollution Source Identification

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dc.creatorSoko, Alpha Omega
dc.creatorAbonyo, Okelo Jeconiah
dc.creatorMasanja, Verdiana Grace
dc.date2020-08-24T11:19:10Z
dc.date2020-08-24T11:19:10Z
dc.date2020
dc.date.accessioned2022-10-25T09:15:47Z
dc.date.available2022-10-25T09:15:47Z
dc.descriptionThis research article published by Global Journal of Pure and Applied Mathematics, Volume 16, Number 3, 2020
dc.descriptionThis paper addresses the inverse source problem in a system of two-dimension advection-dispersion reaction equation with an emphasis on groundwater pollution source identification. We develop an inverse source problem method for identifying the unknown groundwater point sources utilizing only the boundary and interior measurements. We develop an identifiability criterion of the point sources from recording the oxygen deficit concentration relative to the biochemical oxygen demand concentration. We have also established an identification method that uses the records of oxygen deficit concentration and biochemical oxygen demand concentration to identify the source position as a solution to nonlinear dispersion current equations. We recover the source intensity function using the multi-dimension inverse Laplace transform of the de-convolution function without any need of an iterative process. The inverse Laplace transforms are approximated by shifted Legendre Polynomials. The results show that the proposed inverse problem method is accurate.
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dc.identifierhttps://dx.doi.org/10.37622/GJPAM/16.3.2020.371-394
dc.identifierhttps://dspace.nm-aist.ac.tz/handle/20.500.12479/884
dc.identifier.urihttp://hdl.handle.net/123456789/94604
dc.languageen
dc.publisherGlobal Journal of Pure and Applied Mathematics
dc.subjectGroundwater pollution source
dc.subjectInverse source Problem
dc.subjectAdvection Dispersion Reaction Equation
dc.subjectLaplace Transform
dc.subjectShifted Legendre Polynomials
dc.titleIdentification of the Time-Dependent Point Source in a System of two Coupled Two Dimension Diffusion-Advection-Reaction Equations: Application to Groundwater Pollution Source Identification
dc.typeArticle

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