Jarad, FahdNauman, AhmedMuhammad Aziz-Ur, RehmanWaleed, AdelJarad, FahdAli, MubasherRafiq, MuhammadAkgül, Ali2024-04-252024-04-252022Nauman, Ahmed...et.al. (2022). "Structure Preserving Numerical Analysis of Reaction-Diffusion Models", Journal of Function Spaces, Vol.2022, pp.1-18.23148896https://hdl.handle.net/20.500.12416/7938In this paper, we examine two structure preserving numerical finite difference methods for solving the various reaction-diffusion models in one dimension, appearing in chemistry and biology. These are the finite difference methods in splitting environment, namely, operator splitting nonstandard finite difference (OS-NSFD) methods that effectively deal with nonlinearity in the models and computationally efficient. Positivity of both the proposed splitting methods is proved mathematically and verified with the simulations. A comparison is made between proposed OS-NSFD methods and well-known classical operator splitting finite difference (OS-FD) methods, which demonstrates the advantages of proposed methods. Furthermore, we applied proposed NSFD splitting methods on several numerical examples to validate all the attributes of the proposed numerical designs.eninfo:eu-repo/semantics/openAccessArticle202211810.1155/2022/5128343