Solving the fractional Rosenau-Hyman equation via variational iteration method and homotopy perturbation method

R. Yulita Molliq, Mohd. Salmi Md. Noorani

Research output: Contribution to journalArticle

9 Citations (Scopus)

Abstract

In this study, fractional Rosenau-Hynam equations is considered. We implement relatively new analytical techniques, the variational iteration method and the homotopy perturbation method, for solving this equation. The fractional derivatives are described in the Caputo sense. The two methods in applied mathematics can be used as alternative methods for obtaining analytic and approximate solutions for fractional Rosenau-Hynam equations. In these schemes, the solution takes the form of a convergent series with easily computable components. The present methods perform extremely well in terms of efficiency and simplicity.

Original languageEnglish
Article number472030
JournalInternational Journal of Differential Equations
Volume2012
DOIs
Publication statusPublished - 2012

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Variational Iteration Method
Homotopy Perturbation Method
Fractional
Derivatives
Fractional Derivative
Applied mathematics
Analytic Solution
Simplicity
Approximate Solution
Series
Alternatives

ASJC Scopus subject areas

  • Analysis
  • Applied Mathematics

Cite this

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