Numerical solution of neutral functional-differential equations with proportional delays

Autor:	Mehmet Giyas Sakar
Jazyk:	angličtina
Rok vydání:	2017
Předmět:	Homotopy analysis method Residual error function Convergence Neutral functional- differential equation Proportional delay Applied mathematics. Quantitative methods T57-57.97 Mathematics QA1-939
Zdroj:	An International Journal of Optimization and Control: Theories & Applications, Vol 7, Iss 2, Pp 186-194 (2017)
Druh dokumentu:	article
ISSN:	2146-0957 2146-5703
DOI:	10.11121/ijocta.01.2017.00360
Popis:	In this paper, homotopy analysis method is improved with optimal determination of auxiliary parameter by use of residual error function for solving neutral functional-differential equations (NFDEs) with proportional delays. Convergence analysis and error estimate of method are given. Some numerical examples are solved and comparisons are made with the existing results. The numerical results show that the homotopy analysis method with residual error function is very effective and simple.
Databáze:	Directory of Open Access Journals
Externí odkaz:	https://doaj.org/article/00a1ad54eb1d4b31992eda42fd906ef6 Zobrazit plný text záznamu View record in DOAJ Plný text ve formátu PDF