THE FRANK'S KINETIC MODEL THROUGH
THE ADOMIAN'S DECOMPOSITION METHOD
O. Gonzàlez-Gaxiola1, J.A. Santiago2
1,2 Department of Applied Mathematics and Systems
Universidad Autónoma Metropolitana-Cuajimalpa
Vasco de Quiroga 4871, Santa Fe, Cuajimalpa, 05348, MEXICO
Abstract. In this work we consider the Frank kinetic model [7] recently studied by Gutman [10] in a framework where the resources are limited. The model consists of a nonlinear system of differential equations for which we propose an alternative solution through the Adomian decomposition method (ADM).
AMS Subject classification: 41A58, 80A30
Keywords and phrases: Frank model, autocatalysis, Adomian decomposition method (ADM)


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DOI: 10.12732/ijam.v28i2.5

Volume: 28
Issue: 2
Year: 2015