Nonstandard finite difference method for ODEs for initial-value problems
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 equat...
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| Format: | Article |
| Language: | English |
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BİSKA Bilisim Company
2016-10-01
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| Series: | New Trends in Mathematical Sciences |
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| Online Access: | https://ntmsci.com/ajaxtool/GetArticleByPublishedArticleId?PublishedArticleId=7196 |
| Summary: | 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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| ISSN: | 2147-5520 2147-5520 |