@article{article_526299, title={Nonstandard finite difference method for ODEs for initial-value problems}, journal={New Trends in Mathematical Sciences}, volume={4}, pages={27–32}, year={2016}, author={Celik, Tarik}, keywords={Nonstandard finite difference method,Nonlocal approximation,MATLAB ODE solvers}, abstract={<p align="justify">In this paper, a powerful recent non-standard finite different method by nonlocal approximation is improved. Also, compared standard finite difference method to this non-standard finite different method in terms of stability and accuracy. As a numerical example, Hybrid Selection & Genetics equation is considered as the candidate from class of first order ODEs with polynomial right-hand sides. Furthermore, results obtained from the non-standard finite different method and MATLAB ODE solvers (ode15s,ode23s) compared in terms of stability, accuracy, and execution time. <br> </p>}, number={4}, publisher={Mustafa BAYRAM}