Modified Step Variational Iteration Method for Solving Fractional Biochemical Reaction Model
Joint Authors
Noorani, Mohd. Salmi Md.
Alomari, A. K.
Ahmad, R. R.
Yulita Molliq, R.
Source
International Journal of Differential Equations
Issue
Vol. 2011, Issue 2011 (31 Dec. 2011), pp.1-12, 12 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2011-05-23
Country of Publication
Egypt
No. of Pages
12
Main Subjects
Abstract EN
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).
American Psychological Association (APA)
Yulita Molliq, R.& Noorani, Mohd. Salmi Md.& Ahmad, R. R.& Alomari, A. K.. 2011. Modified Step Variational Iteration Method for Solving Fractional Biochemical Reaction Model. International Journal of Differential Equations،Vol. 2011, no. 2011, pp.1-12.
https://search.emarefa.net/detail/BIM-477706
Modern Language Association (MLA)
Yulita Molliq, R.…[et al.]. Modified Step Variational Iteration Method for Solving Fractional Biochemical Reaction Model. International Journal of Differential Equations No. 2011 (2011), pp.1-12.
https://search.emarefa.net/detail/BIM-477706
American Medical Association (AMA)
Yulita Molliq, R.& Noorani, Mohd. Salmi Md.& Ahmad, R. R.& Alomari, A. K.. Modified Step Variational Iteration Method for Solving Fractional Biochemical Reaction Model. International Journal of Differential Equations. 2011. Vol. 2011, no. 2011, pp.1-12.
https://search.emarefa.net/detail/BIM-477706
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-477706