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A new piecewise spectral homotopy analysisof the Michaelis-Menten enzymatic reactions model. (English) Zbl 1296.65099
Summary: In this paper we report on a novel method for solving systems of nonlinear differential equations which is an extension of the spectral homotopy analysis method (SHAM). The proposed method extends the application of the SHAM to initial value problems that model the Michaelis-Menten enzymatic reaction equation. Results from the proposed method are compared with Runge-Kutta routines as a measure of accuracy and efficiency.

65L05 Numerical methods for initial value problems
34A34 Nonlinear ordinary differential equations and systems, general theory
65L60 Finite element, Rayleigh-Ritz, Galerkin and collocation methods for ordinary differential equations
92E20 Classical flows, reactions, etc. in chemistry
ISHAM; Matlab
Full Text: DOI
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