Modified Step Variational Iteration Method for Solving Fractional Biochemical Reaction Model
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, whi...
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| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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Wiley
2011-01-01
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| Series: | International Journal of Differential Equations |
| Online Access: | http://dx.doi.org/10.1155/2011/514384 |
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| author | R. Yulita Molliq M. S. M. Noorani R. R. Ahmad A. K. Alomari |
| author_facet | R. Yulita Molliq M. S. M. Noorani R. R. Ahmad A. K. Alomari |
| author_sort | R. Yulita Molliq |
| collection | DOAJ |
| description | 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). |
| format | Article |
| id | doaj-art-2418461947be4cda88ebd6d18e92195b |
| institution | Kabale University |
| issn | 1687-9643 1687-9651 |
| language | English |
| publishDate | 2011-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Differential Equations |
| spelling | doaj-art-2418461947be4cda88ebd6d18e92195b2025-02-03T06:00:53ZengWileyInternational Journal of Differential Equations1687-96431687-96512011-01-01201110.1155/2011/514384514384Modified Step Variational Iteration Method for Solving Fractional Biochemical Reaction ModelR. Yulita Molliq0M. S. M. Noorani1R. R. Ahmad2A. K. Alomari3Department of Mathematics, Faculty of Mathematics and Natural Sciences, State University of Medan (UNIMED), Medan, Sumatera Utara 20221, IndonesiaSchool of Mathematical Sciences, Faculty of Science and Technology, National University of Malaysia (UKM), Bangi, 43600 Selangor, MalaysiaSchool of Mathematical Sciences, Faculty of Science and Technology, National University of Malaysia (UKM), Bangi, 43600 Selangor, MalaysiaDepartment of Sciences, Faculty of Nursing and Science, Jerash Private University, Jerash 26150, JordanA 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).http://dx.doi.org/10.1155/2011/514384 |
| spellingShingle | R. Yulita Molliq M. S. M. Noorani R. R. Ahmad A. K. Alomari Modified Step Variational Iteration Method for Solving Fractional Biochemical Reaction Model International Journal of Differential Equations |
| title | Modified Step Variational Iteration Method for Solving Fractional Biochemical Reaction Model |
| title_full | Modified Step Variational Iteration Method for Solving Fractional Biochemical Reaction Model |
| title_fullStr | Modified Step Variational Iteration Method for Solving Fractional Biochemical Reaction Model |
| title_full_unstemmed | Modified Step Variational Iteration Method for Solving Fractional Biochemical Reaction Model |
| title_short | Modified Step Variational Iteration Method for Solving Fractional Biochemical Reaction Model |
| title_sort | modified step variational iteration method for solving fractional biochemical reaction model |
| url | http://dx.doi.org/10.1155/2011/514384 |
| work_keys_str_mv | AT ryulitamolliq modifiedstepvariationaliterationmethodforsolvingfractionalbiochemicalreactionmodel AT msmnoorani modifiedstepvariationaliterationmethodforsolvingfractionalbiochemicalreactionmodel AT rrahmad modifiedstepvariationaliterationmethodforsolvingfractionalbiochemicalreactionmodel AT akalomari modifiedstepvariationaliterationmethodforsolvingfractionalbiochemicalreactionmodel |