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

Nidal Anakira | Zendy; Ali F. Jameel | Zendy; Abedel-Karrem Alomari | Zendy; Azizan Saaban | Zendy; Mohammad Almahameed | Zendy; Ishak Hashim | Zendy

Open Access

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

Author(s) -

Nidal Anakira,

Ali F. Jameel,

Abedel-Karrem Alomari,

Azizan Saaban,

Mohammad Almahameed,

Ishak Hashim

Publication year - 2018

Publication title -

journal of mathematical and fundamental sciences

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.216

H-Index - 12

eISSN - 2337-5760

pISSN - 2338-5510

DOI - 10.5614/j.math.fund.sci.2018.50.3.1

Subject(s) - homotopy analysis method , mathematics , homotopy , pantograph , homotopy perturbation method , exact solutions in general relativity , method of matched asymptotic expansions , type (biology) , convergence (economics) , mathematical analysis , matrix (chemical analysis) , differential equation , mechanical engineering , ecology , economic growth , pure mathematics , engineering , economics , biology , materials science , composite material

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.

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