Solving SIVPs of Lane–Emden–Fowler Type Using a Pair of Optimized Nyström Methods with a Variable Step Size

Autor:	Mufutau Ajani Rufai, Higinio Ramos
Jazyk:	angličtina
Rok vydání:	2023
Předmět:	hybrid block technique Lane–Emden–Fowler problems optimization strategy starting procedure adaptive formulation Mathematics QA1-939
Zdroj:	Mathematics, Vol 11, Iss 6, p 1535 (2023)
Druh dokumentu:	article
ISSN:	2227-7390 77098153
DOI:	10.3390/math11061535
Popis:	This research article introduces an efficient method for integrating Lane–Emden–Fowler equations of second-order singular initial value problems (SIVPs) using a pair of hybrid block methods with a variable step-size mode. The method pairs an optimized Nyström technique with a set of formulas applied at the initial step to circumvent the singularity at the beginning of the interval. The variable step-size formulation is implemented using an embedded-type approach, resulting in an efficient technique that outperforms its counterpart methods that used fixed step-size implementation. The numerical simulations confirm the better performance of the variable step-size implementation.
Databáze:	Directory of Open Access Journals
Externí odkaz:	https://doaj.org/article/cf77098153c24f80b2af98843d406819 Zobrazit plný text záznamu View record in DOAJ Plný text ve formátu PDF Plný text ve formátu HTML
Nepřihlášeným uživatelům se plný text nezobrazuje	K zobrazení výsledku je třeba se přihlásit.