Modified step variational iteration method for solving fractional biochemical reaction model

R. Yulita Molliq, Mohd. Salmi Md. Noorani, Rokiah @ Rozita Ahmad, A. K. Alomari

Research output: Contribution to journalArticle

3 Citations (Scopus)

Abstract

A new method called the modification of step variational iteration method (MoSVIM) is introduced and used to solve the fractional biochemical reaction model. TheMoSVIM uses general Lagrange multipliers for construction of the correction functional for the problems, and it runs by step approach, which is to divide the interval into subintervals with time step, and the solutions are obtained at each subinterval as well adopting a nonzero auxiliary parameter to control the convergence region of series' solutions. The MoSVIM yields an analytical solution of a rapidly convergent infinite power series with easily computable terms and produces a good approximate solution on enlarged intervals for solving the fractional biochemical reaction model. The accuracy of the results obtained is in a excellent agreement with the Adam Bashforth Moulton method (ABMM).

Original languageEnglish
Article number514384
JournalInternational Journal of Differential Equations
Volume2011
DOIs
Publication statusPublished - 2011

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Variational Iteration Method
Fractional
Interval
Lagrange multipliers
Series Solution
Infinite series
Power series
Divides
Analytical Solution
Approximate Solution
Term
Model

ASJC Scopus subject areas

  • Analysis
  • Applied Mathematics

Cite this

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AU - Md. Noorani, Mohd. Salmi

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AU - Alomari, A. K.

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