Direct solution of n th-order IVPs by homotopy analysis method

Research output: Contribution to journalArticle

4 Citations (Scopus)

Abstract

Direct solution of a class of n th -order initial value problems (IVPs) is considered based on the homotopy analysis method (HAM). The HAM solutions contain an auxiliary parameter which provides a convenient way of controlling the convergence region of the series solutions. The HAM gives approximate analytical solutions which are of comparable accuracy to the seven- and eight-order Runge-Kutta method (RK78).

Original languageEnglish
Article number842094
JournalDifferential Equations and Nonlinear Mechanics
Volume2009
DOIs
Publication statusPublished - 2009

Fingerprint

Homotopy Analysis Method
Initial value problems
Initial Value Problem
Runge Kutta methods
Series Solution
Runge-Kutta Methods
Analytical Solution

ASJC Scopus subject areas

  • Analysis
  • Applied Mathematics
  • Mechanics of Materials

Cite this

Direct solution of n th-order IVPs by homotopy analysis method. / Hashim, Ishak; Bataineh, A. Sami; Md. Noorani, Mohd. Salmi.

In: Differential Equations and Nonlinear Mechanics, Vol. 2009, 842094, 2009.

Research output: Contribution to journalArticle

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