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

Nidal Ratib Anakira (Department of Mathematics, Faculty of Science and Technology, Irbid National University, 2600 Irbid)
Ali Jameel (School of Quantitative Sciences, Universiti Utara Malaysia, Kedah, 06010 Sintok)
Abedel-Karrem Alomari (Department of Mathematics, Faculty of Science, Yarmouk University, Irbid 211-63)
Azizan Saaban (School of Quantitative Sciences, Universiti Utara Malaysia, Kedah, 06010 Sintok)
Mohammad Almahameed (Department of Mathematics, Faculty of Science and Technology, Irbid National University, 2600 Irbid)
Ishak Hashim (School of Mathematical Sciences, Universiti Kebangsaan Malaysia, 43600 Bangi Selangor)

Journal of Mathematical and Fundamental Sciences
Vol. 50 No. 3 (2018)

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.