Circumventing Ill-Conditioning Arising from Using Linear Multistep Methods in Approximating the Solution of Initial Value Problems

Autor:	Richard Olatokunbo Akinola, Ali Shokri, Shao-Wen Yao, Stephen Yakubu Kutchin
Jazyk:	angličtina
Rok vydání:	2022
Předmět:	ill-conditioning linear multistep methods order (non)singularity underdetermined Mathematics QA1-939
Zdroj:	Mathematics, Vol 10, Iss 16, p 2910 (2022)
Druh dokumentu:	article
ISSN:	2227-7390
DOI:	10.3390/math10162910
Popis:	When finding numerical solutions to stiff and nonstiff initial value problems using linear multistep methods, ill-conditioned systems are often encountered. In this paper, we demonstrate how this ill-conditioning can be circumvented without iterative refinement or preconditioning, by carefully choosing the grid point used in deriving the discrete scheme from the continuous formulation. Results of numerical experiments show that the new scheme perform very well when compared with the exact solution and results from an earlier scheme.
Databáze:	Directory of Open Access Journals
Externí odkaz:	https://doaj.org/article/7ec26cf92d4a4009982acf0c36edd45f 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.