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

• DOI: 10.5614/j.math.fund.sci.2018.50.3.1
• Publication Date: 2018-12-28T03:02:28Z
• Authors: Nidal Ratib Anakira; Ali Jameel; ; Abedel-Karrem Alo...; ; Azizan Saaban; ; Mohammad Almahameed; ; Ishak Hashim
• Keywords: Homotopy Analysis Method; Pantograph; Homotopy perturbation method; Matrix (chemical analysis)

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 exact solution using only one term. A comparative study between proposed method, perturbation (HPM) and Taylor matrix are presented. The obtained results revealed higher accuracy, effective easy use.