Advection-diffusion process through a difference scheme-based monte carlo simulation

Arshed A. Ahmad*, Murat Sari, Hande Uslu

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review


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.

Original languageEnglish
Pages (from-to)2027-2035
Number of pages9
JournalInternational Journal of Agricultural and Statistical Sciences
Publication statusPublished - 2021
Externally publishedYes

Bibliographical note

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  • Advection-diffusion process
  • Difference scheme
  • Modelling
  • Monte Carlo simulation
  • Physical behaviour


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