Advection-Diffusion Process through A Difference Scheme-Based Monte Carlo Simulation

Ahmad A. A., Sarı M., Uslu H.

International Journal of Agricultural and Statistical Sciences, vol.16, pp.2027-2035, 2020 (ESCI) identifier

  • Publication Type: Article / Article
  • Volume: 16
  • Publication Date: 2020
  • Journal Name: International Journal of Agricultural and Statistical Sciences
  • Journal Indexes: Emerging Sources Citation Index (ESCI), Scopus, CAB Abstracts, Veterinary Science Database, zbMATH
  • Page Numbers: pp.2027-2035
  • Keywords: Advection-diffusion process, Monte Carlo simulation, Difference scheme, Physical behaviour, Modelling
  • Yıldız Technical University Affiliated: Yes


This article is intended to investigate the advection-diffusion process using a difference-scheme based Monte Carlo simulation approach. This is accomplished while walking randomly in the solution region, and then the solution is recorded at a point at a certain time at the end of each random walk (RW). Therefore, the advantage of this technique is to use a more realistic approach based on probability of solving the model equation defining the system. In order to accurately analyse environmental responses, the computed solutions are discussed in detail. The proposed technique has been found to be effective in capturing the behaviour of the more involved processes.