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Mathematical modelling in the river pollution: One dimensional advection diffusion of river pollution in semi infinite media inverse Laplace transforms

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Date
2023
Authors
Amin A.Z.M.
Amin A.F.M.
Gani U.K.A.
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American Institute of Physics Inc.
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Abstract
Effective tools to simulate and predict pollutant transport in water environments, especially rivers, are water quality models, which can contribute to saving the cost of labour and materials for a large number of chemical experiments to some degree. Due to special environmental pollution issues, water quality models have become very important in some cases. This paper identifies water pollution as a problem. Water quality models have become an important tool for recognizing the behaviours of pollutants in the water environment. In this research, there are general one-dimensional advection diffusion purposes to be resolved. The analytical solution of the model is found using the Laplace Transform method. These results are compared to those obtained by using a classical least square regularized method. For the graph of the solution, we interpret and discuss the concentration of the pollutant against time (t). � 2023 Author(s).
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