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

Research output: Contribution to journalArticle

2 Citations (Scopus)

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.

Original languageEnglish
Pages (from-to)221-232
Number of pages12
JournalJournal of Mathematical and Fundamental Sciences
Volume50
Issue number3
DOIs
Publication statusPublished - 1 Jan 2018

Fingerprint

Pantograph
Pantographs
asymptotic methods
Homotopy Method
Asymptotic Methods
Delay Differential Equations
Time delay
Approximate Solution
Differential equations
differential equations
Pantograph Equation
Homotopy Perturbation Method
Matrix Method
Numerical Procedure
matrix methods
Comparative Study
Time Delay
High Accuracy
time lag
Exact Solution

Keywords

  • Approximate solutions
  • Multistage optimal homotopy asymptotic method (MOHAM)
  • Optimal homotopy asymptotic method (OHAM)
  • Pantograph equation
  • Series solution

ASJC Scopus subject areas

  • Chemistry(all)
  • Mathematics(all)
  • Biochemistry, Genetics and Molecular Biology(all)
  • Agricultural and Biological Sciences(all)
  • General
  • Physics and Astronomy(all)
  • Earth and Planetary Sciences(all)

Cite this

Approximate solutions of multi-pantograph type delay differential equations using multistage optimal homotopy asymptotic method. / Anakira, Nidal Ratib; Jameel, Ali; Alomari, Abedel Karrem; Saaban, Azizan; Almahameed, Mohammad; Hashim, Ishak.

In: Journal of Mathematical and Fundamental Sciences, Vol. 50, No. 3, 01.01.2018, p. 221-232.

Research output: Contribution to journalArticle

Anakira, Nidal Ratib ; Jameel, Ali ; Alomari, Abedel Karrem ; Saaban, Azizan ; Almahameed, Mohammad ; Hashim, Ishak. / Approximate solutions of multi-pantograph type delay differential equations using multistage optimal homotopy asymptotic method. In: Journal of Mathematical and Fundamental Sciences. 2018 ; Vol. 50, No. 3. pp. 221-232.
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