Madani, S.A. and Shademani, A. (2014) Mathematical Investigation of Two Dimensional Pattern Formation. International Journal of Biological Research, 2, Article ID: 1502.
https://doi.org/10.14419/ijbr.v2i1.1502

has been cited by the following article:

• TITLE: Analysis of Gray Scott’s Model Numerically

  AUTHORS: Ahmed Abdulrahim Ahmed Amin, Daoud Suleiman Mashat

  KEYWORDS: Fourth Order Compact Scheme, Finite Volume Method, Fully Implicit Scheme, Alternating Direction Implicit (ADI) Scheme, Gray Scott Solver, OpenFoam

  JOURNAL NAME: American Journal of Computational Mathematics, Vol.11 No.4, December 10, 2021

  ABSTRACT: In this paper, a two-dimensional nonlinear coupled Gray Scott system is simulated with a finite difference scheme and a finite volume technique. Pre and post-processing lead to a new solution called GSmFoam by understanding geometry settings and mesh information. The concentration profile changes over time, as does the intensity of the contour patterns. The OpenFoam solver gives you the confidence to compare the pattern result with efficient numerical algorithms on the Gray Scott model.