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Azizan Saaban
School of Quantitative Sciences, Universiti Utara Malaysia, Kedah, 06010 Sintok
Astronomy Chemistry Earth & Planetary Sciences Mathematics Physics

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Approximate Solutions of Multi-Pantograph Type Delay Differential Equations Using Multistage Optimal Homotopy Asymptotic Method Nidal Ratib Anakira; Ali Jameel; Abedel-Karrem Alomari; Azizan Saaban; Mohammad Almahameed; Ishak Hashim
Journal of Mathematical and Fundamental Sciences Vol. 50 No. 3 (2018)
Publisher : Institute for Research and Community Services (LPPM) ITB

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.5614/j.math.fund.sci.2018.50.3.1

Abstract

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.
Co-Authors Abedel-Karrem Alomari Ali Jameel Ishak Hashim Mohammad Almahameed Nidal Ratib Anakira