Ahmed, NaumanRehman, Muhammad Aziz-urAdel, WaleedJarad, FahdAli, MubasherRafiq, MuhammadAkgul, Ali2024-12-242024-12-2420222314-88962314-8888https://doi.org/10.1155/2022/5128343https://hdl.handle.net/20.500.12604/7250In 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/openAccessArticle2022Q1WOS:000790465900002Q12-s2.0-8512759966610.1155/2022/5128343