Numerical methods for solving nonlinear Volterra integro-differential equations based on Hermite–Birkhoff interpolation

Autor:	S. Fazeli
Jazyk:	angličtina
Rok vydání:	2020
Předmět:	volterra integro-differential equations multistep collocation methods hermite–birkhoff interpolation convergence linear stability Applied mathematics. Quantitative methods T57-57.97
Zdroj:	Iranian Journal of Numerical Analysis and Optimization, Vol 10, Iss 2, Pp 131-153 (2020)
Druh dokumentu:	article
ISSN:	2423-6977 2423-6969
DOI:	10.22067/ijnao.v10i2.85756
Popis:	We introduce a new family of multivalue and multistage methods based on Hermite–Birkhoff interpolation for solving nonlinear Volterra integro differential equations. The proposed methods that have high order and ex tensive stability region, use the approximated values of the first derivative of the solution in the m collocation points and the approximated values of the solution as well as its first derivative in the r previous steps. Convergence order of the new methods is determined and their linear stability is analyzed. Efficiency of the methods is shown by some numerical experiments.
Databáze:	Directory of Open Access Journals
Externí odkaz:	https://doaj.org/article/848c9a58ffc94c0397faaaf5ce77f285 Zobrazit plný text záznamu View record in DOAJ