Ahmed, NaumanJarad, FahdRehman, Muhammad Aziz-urAdel, WaleedJarad, FahdAli, MubasherRafiq, MuhammadAkgul, AliMatematik2024-04-252024-04-252022Nauman, Ahmed...et.al. (2022). "Structure Preserving Numerical Analysis of Reaction-Diffusion Models", Journal of Function Spaces, Vol.2022, pp.1-18.2314-88962314-8888https://doi.org/10.1155/2022/5128343Rafiq, Muhammad/0000-0002-2165-3479; Ur-Rehman, Aziz-/0009-0007-4185-7675; Adel, Waleed/0000-0002-0557-8536In 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/openAccessArticle202210.1155/2022/51283432-s2.0-85127599666WOS:000790465900002Q1Q1