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Numerical Solutions of Nonlinear Biochemical Model Using a Hybrid Numerical- Analytical Technique

Edeki, S.O. and Owoloko, E. A. and Osheku, A. S. and Opanuga, A. A. and Okagbue, H. I. and Akinlabi, G. O. (2015) Numerical Solutions of Nonlinear Biochemical Model Using a Hybrid Numerical- Analytical Technique. International Journal of Mathematical Analysis, 9 (8). pp. 403-416.

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Abstract

In this paper, a hybrid numerical-analytical technique resulting from the combination of the differential transformation method and the Pade approximation technique; hereby referred to as differential transformation-Pade approximation technique (DTPAT) is introduced and applied for numerical solutions to the nonlinear biochemical reaction model. The obtained numerical results via the DTPAT are in excellent agreement with those obtained using ADM, PIM, RK4, HPM, and MPHM. The DTPAT increases the convergent rate of the series solutions obtained via the DTM, is showed to be very effective; it requires less computational work, and hence a promising technique for both linear and nonlinear systems in other areas of medical and biomedical sciences.

Item Type: Article
Uncontrolled Keywords: Biochemical reaction, Differential transform, Enzyme kinetic model, Nonlinear system, Pad e approximants
Subjects: Q Science > QA Mathematics
Divisions: Faculty of Engineering, Science and Mathematics > School of Mathematics
Depositing User: Mrs Patricia Nwokealisi
Date Deposited: 21 Sep 2015 13:36
Last Modified: 24 Jan 2017 10:39
URI: http://eprints.covenantuniversity.edu.ng/id/eprint/5463

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