Numerical Simulation of Lake Pollution Model via Crank-Nicolson Finite Difference Scheme

Authors

  • Auwal Abdullahi Department of Mathematics and Statistics, Federal University of Kashere, Gombe State Author
  • Auwal Ahmad Department of Mathematics and Statistics, Federal University of Kashere Author

DOI:

https://doi.org/10.62054/ijdm/0104.02

Abstract

Lake pollution has become a serious challenge considering the number of infectious diseases caused by contaminated water. To understand more about the concentration of pollutant released in a lake, this study formulates a partial differential equation (PDE) model of parabolic type, discretized via the Crank-Nicolson scheme. The accuracy of the formulated scheme was ascertained through the Von Neumann analysis. Our numerical simulation reveals that the concentration of pollutants spreads exponentially at each time steps

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Published

2024-12-17

Data Availability Statement

This study does not include any data collection. All the numerical simulation results are included in the manuscript.

How to Cite

Numerical Simulation of Lake Pollution Model via Crank-Nicolson Finite Difference Scheme. (2024). International Journal of Development Mathematics (IJDM), 1(4), 020-025. https://doi.org/10.62054/ijdm/0104.02