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

Main Authors:	Anakira, Nidal Ratib; Department of Mathematics, Faculty of Science and Technology, Irbid National University, 2600 Irbid, Jameel, Ali; School of Quantitative Sciences, Universiti Utara Malaysia, Kedah, 06010 Sintok, Alomari, Abedel-Karrem; Department of Mathematics, Faculty of Science, Yarmouk University, Irbid 211-63, Saaban, Azizan; School of Quantitative Sciences, Universiti Utara Malaysia, Kedah, 06010 Sintok, Almahameed, Mohammad; Department of Mathematics, Faculty of Science and Technology, Irbid National University, 2600 Irbid, Hashim, Ishak; School of Mathematical Sciences, Universiti Kebangsaan Malaysia, 43600 Bangi Selangor
Format:	Article info application/pdf eJournal
Bahasa:	eng
Terbitan:	ITB Journal Publisher, LPPM ITB , 2018
Subjects:	Mathematics approximate solutions multistage optimal homotopy asymptotic method (MOHAM) optimal homotopy asymptotic method (OHAM) pantograph equation series solution 65C20 65L03
Online Access:	http://journals.itb.ac.id/index.php/jmfs/article/view/6389 http://journals.itb.ac.id/index.php/jmfs/article/view/6389/3435 http://journals.itb.ac.id/index.php/jmfs/article/downloadSuppFile/6389/1193 http://journals.itb.ac.id/index.php/jmfs/article/downloadSuppFile/6389/1194 http://journals.itb.ac.id/index.php/jmfs/article/downloadSuppFile/6389/1611

Daftar Isi:

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.