R. Yulita Molliq, M.S.M. Noorani, R..R. Ahmad, A..K. Alomari
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). Copyright © 2011 R. Yulita Molliq et al.
Department of Mathematics, Faculty of Mathematics and Natural Sciences, State University of Medan (UNIMED), Medan, Sumatera Utara 20221, Indonesia; School of Mathematical Sciences, Faculty of Science and Technology, National University of Malaysia (UKM), Bangi, 43600 Selangor, Malaysia; Department of Sciences, Faculty of Nursing and Science, Jerash Private University, Jerash 26150, Jordan
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