Solution of Delay Differential Equation by Means of Homotopy Analysis Method

Research output: Contribution to journalArticle

33 Citations (Scopus)

Abstract

The algorithm of approximate analytical solution for delay differential equations (DDE) is obtained via homotopy analysis method (HAM) and modified homotopy analysis method (MHAM). Various examples of linear, nonlinear and system of initial value problems of DDE are solved and the results obtained show that these algorithms are accurate and efficient for the DDE. The convergence of this algorithm is also proved.

Original languageEnglish
Pages (from-to)395-412
Number of pages18
JournalActa Applicandae Mathematicae
Volume108
Issue number2
DOIs
Publication statusPublished - Nov 2009

Fingerprint

Homotopy Analysis Method
Delay Differential Equations
Differential equations
Initial value problems
Initial Value Problem
Analytical Solution

Keywords

  • Convergent solution
  • Delay differential equation
  • Homotopy analysis method
  • Modified homotopy analysis method

ASJC Scopus subject areas

  • Applied Mathematics

Cite this

Solution of Delay Differential Equation by Means of Homotopy Analysis Method. / Alomari, A. K.; Md. Noorani, Mohd. Salmi; Mohd. Nazar, Roslinda.

In: Acta Applicandae Mathematicae, Vol. 108, No. 2, 11.2009, p. 395-412.

Research output: Contribution to journalArticle

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