Approximate Solutions of Multi-Pantograph Type Delay Differential Equations Using Multistage Optimal Homotopy Asymptotic Method

Autor:	Nidal Ratib Anakira, Ali Jameel, Abedel-Karrem Alomari, Azizan Saaban, Mohammad Almahameed, Ishak Hashim
Jazyk:	angličtina
Rok vydání:	2018
Předmět:	approximate solutions multistage optimal homotopy asymptotic method (MOHAM) optimal homotopy asymptotic method (OHAM) pantograph equation series solution Science Science (General) Q1-390
Zdroj:	Journal of Mathematical and Fundamental Sciences, Vol 50, Iss 3, Pp 221-232 (2018)
Druh dokumentu:	article
ISSN:	2337-5760 2338-5510
DOI:	10.5614/j.math.fund.sci.2018.50.3.1
Popis:	In this paper, a numerical procedure called multistage optimal homotopy asymptotic method (MOHAM) is introduced to solve multi-pantograph equations with time delay. It was shown that the MOHAM algorithm rapidly provides accurate convergent approximate solutions of the exact solution using only one term. A comparative study between the proposed method, the homotopy perturbation method (HPM) and the Taylor matrix method are presented. The obtained results revealed that the method is of higher accuracy, effective and easy to use.
Databáze:	Directory of Open Access Journals
Externí odkaz:	https://doaj.org/article/d0b2cee166d642a5956f7f3a4bb9c705 Zobrazit plný text záznamu View record in DOAJ Plný text ve formátu PDF