Publication:
Numerical simulations to a one-dimensional groundwater pollution measurement model through heterogeneous soil

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Abstract

The problem of toxic contaminants in groundwater with groundwater pollution measurement model. The advection-diffusion equation is used to describe the concerned model. The theoretical solution of the advection-diffusion equation is limited only in ideal geometries. Applications of numerical solutions are influenced in several initial and boundary conditions when dealing with complex geometries. In this research, numerical simulations for one-dimensional groundwater pollution measurement around landfills model through heterogeneous soil are focused. The forward time center space and Saulyev finite difference techniques are used to approximate the solutions. The accuracy of proposed techniques are to examine by comparing the approximated solutions with the analytical solution. The purposed technique gives good agreement approximated solution.

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Advection, Diffusion, Finite difference method, Semi-infinite domain, Variable coefficient

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Iaeng International Journal of Applied Mathematics, 50(3), 558-565, 2020

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