Optimal homotopy asymptotic method for solving delay differential equations

N. Ratib Anakira, A. K. Alomari, Ishak Hashim

Research output: Contribution to journalArticle

16 Citations (Scopus)

Abstract

We extend for the first time the applicability of the optimal homotopy asymptotic method (OHAM) to find the algorithm of approximate analytic solution of delay differential equations (DDEs). The analytical solutions for various examples of linear and nonlinear and system of initial value problems of DDEs are obtained successfully by this method. However, this approach does not depend on small or large parameters in comparison to other perturbation methods. This method provides us with a convenient way to control the convergence of approximation series. The results which are obtained revealed that the proposed method is explicit, effective, and easy to use.

Original languageEnglish
Article number498902
JournalMathematical Problems in Engineering
Volume2013
DOIs
Publication statusPublished - 2013

Fingerprint

Homotopy Method
Asymptotic Methods
Delay Differential Equations
Differential equations
Initial value problems
Perturbation Method
Analytic Solution
Initial Value Problem
Analytical Solution
Series
Approximation

ASJC Scopus subject areas

  • Mathematics(all)
  • Engineering(all)

Cite this

Optimal homotopy asymptotic method for solving delay differential equations. / Ratib Anakira, N.; Alomari, A. K.; Hashim, Ishak.

In: Mathematical Problems in Engineering, Vol. 2013, 498902, 2013.

Research output: Contribution to journalArticle

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