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International Journal of Differential Equations
Volume 2011 (2011), Article ID 514384, 12 pages
doi:10.1155/2011/514384
Research Article

Modified Step Variational Iteration Method for Solving Fractional Biochemical Reaction Model

R. Yulita Molliq,1 M. S. M. Noorani,2 R. R. Ahmad,2 and A. K. Alomari3

1Department of Mathematics, Faculty of Mathematics and Natural Sciences, State University of Medan (UNIMED), Medan, Sumatera Utara 20221, Indonesia
2School of Mathematical Sciences, Faculty of Science and Technology, National University of Malaysia (UKM), Bangi, 43600 Selangor, Malaysia
3Department of Sciences, Faculty of Nursing and Science, Jerash Private University, Jerash 26150, Jordan

Received 18 February 2011; Accepted 25 March 2011

Academic Editor: Shaher Momani

Copyright © 2011 R. Yulita Molliq et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

A new method called the modification of step variational iteration method (MoSVIM) is introduced and used to solve the fractional biochemical reaction model. The MoSVIM 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 ℏ 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).