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A Numerical Model of Groundwater Quality Assessment Using a Special A-D Cubic Spline Method
Author(s)
Klankaew, Pantira
Date Issued
January 1, 2025
Type
Article
Abstract
Nowadays, when the industrial sector and human habitation have expanded rapidly, causing more and more various pollutants to come out, water is considered one type of pollution that is contaminated by these community and industrial sources. When this toxic water seeps through the soil, it can contaminate groundwater sources. Groundwater contamination can affect the health of humans and other living things, both directly and indirectly. In some areas, groundwater contamination can cause the population to become sick with various diseases. Long-term groundwater quality investigations near landfill sites need the use of mathematical models. A one-dimensional advection-diffusion equation (ADE) was used to analyze the groundwater's quality by describing the amount of contamination present. The objectives are mathematical simulations that can be used to assess the quality of groundwater that becomes contaminated over a long period of time. This study proposes numerical simulations for a one-dimensional mathematical model for long-term measurement of groundwater pollution around landfills. The natural cubic spline method, the Crank-Nicolson method, the upwind explicit method, and the special A-D cubic spline method are approximated in the model solution. The exact and approximate solutions are compared in each case. The proposed upwind explicit method analysis provides close to exact and properly accurate solutions. In five to ten years, the proposed numerical model can simulate several scenarios.
Citation
Iaeng International Journal of Applied Mathematics, 55(8), 2459-2465, 2025