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The multistage homotopy analysis method: application to a biochemical reaction model of fractional order
Zurigat M., , Alawneh A.
Published in Taylor and Francis Ltd.
2014
Volume: 91
   
Issue: 5
Pages: 1030 - 1040
Abstract
In this paper, a new reliable algorithm called the multistage homotopy analysis method (MHAM) based on an adaptation of the standard homotopy analysis method (HAM) is presented to solve a time-fractional enzyme kinetics. This enzyme-substrate reaction is formed by a system of nonlinear ordinary differential equations of fractional order. The new algorithm is only a simple modification of the HAM, in which it is treated as an algorithm in a sequence of small intervals (i.e. time step) for finding accurate approximate solutions to the corresponding systems. Numerical comparisons between the MHAM and the classical fourth-order Runge-Kutta method in the case of integer-order derivatives reveal that the new technique is a promising tool for nonlinear systems of integer and fractional order. © 2013 Taylor & Francis.
About the journal
JournalData powered by TypesetInternational Journal of Computer Mathematics
PublisherData powered by TypesetTaylor and Francis Ltd.
ISSN00207160
Open AccessNo