| dc.creator |
Soko, Alpha Omega |
|
| dc.creator |
Abonyo, Okelo Jeconiah |
|
| dc.creator |
Masanja, Verdiana Grace |
|
| dc.date |
2020-08-24T11:19:10Z |
|
| dc.date |
2020-08-24T11:19:10Z |
|
| dc.date |
2020 |
|
| dc.date.accessioned |
2022-10-25T09:15:47Z |
|
| dc.date.available |
2022-10-25T09:15:47Z |
|
| dc.identifier |
https://dx.doi.org/10.37622/GJPAM/16.3.2020.371-394 |
|
| dc.identifier |
https://dspace.nm-aist.ac.tz/handle/20.500.12479/884 |
|
| dc.identifier.uri |
http://hdl.handle.net/123456789/94604 |
|
| dc.description |
This research article published by Global Journal of Pure and Applied Mathematics, Volume 16, Number 3, 2020 |
|
| dc.description |
This 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. |
|
| dc.format |
application/pdf |
|
| dc.language |
en |
|
| dc.publisher |
Global Journal of Pure and Applied Mathematics |
|
| dc.subject |
Groundwater pollution source |
|
| dc.subject |
Inverse source Problem |
|
| dc.subject |
Advection Dispersion Reaction Equation |
|
| dc.subject |
Laplace Transform |
|
| dc.subject |
Shifted Legendre Polynomials |
|
| dc.title |
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 |
|
| dc.type |
Article |
|