The purpose of this paper is to visit a class of nonlinear reactive
transport model in the case including advective and diffusive transport with
the Michaelis-Menten reaction term.We apply the method so-called predictor
homotopy analysis method (PHAM) which has been recently proposed to
predict multiplicity of solutions of nonlinear BVPs. Consequently two consequential
matters are indicated which confirms the authority of PHAM to
identify multiple solutions: (i) The Talylor series solutions are improved by the
so-called convergence-controller parameter (ii) The possibility of existence of
multiple solutions is discovered in some cases for the model.
کلید واژگان :
Predictor homotopy analysis method · Rule of multiplicity of solutions · Prescribed parameter · Reactive transport model
