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A Numerical Groundwater Quality Assessment Model Using the Cubic Spline Method
Author(s)
Klankaew, Pantira
Date Issued
January 1, 2024
Type
Article
Abstract
Human activities on the surface, including municipal garbage disposal, pesticide usage, and fertilizer use, can contaminate groundwater. Long-term groundwater quality investigations near landfill sites necessitate the use of mathematical models. Research on the environmental impacts of projects, including landfills, depends on the long-term expansion of groundwater quality. Analyzing the quality of groundwater employed an advection-diffusion equation (ADE) in one dimension to describe the quantity of pollution in the groundwater. In this research, numerical simulations for a one-dimensional mathematical model for a long-term contaminated groundwater pollution measurement around landfills are proposed. The finite difference and the natural cubic spline techniques are approximated by the model solution. In a given scenario, the approximate solutions are compared with the exact solutions. The proposed finite difference analysis provides close-to-exact and properly accurate solutions. Numerous varieties of soil physics can be used for the suggested numerical simulation. The simulations can be used to assess the quality of groundwater that becomes contaminated in the future. It is demonstrated that the cubic spline method yields acceptable approximations. It is an alternate finite difference technique.
Citation
Iaeng International Journal of Applied Mathematics, 54(1), 111-116, 2024