Nonstandard finite difference method for ODEs for initial-value problems
Journal: NEW TRENDS IN MATHEMATICAL SCIENCES (Vol.4, No. 4)Publication Date: 2016-09-01
Authors : Tarik Celik;
Page : 27-32
Keywords : Nonstandard finite difference method nonlocal approximation MATLAB ODE solvers initial-value problems;
Abstract
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.
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