Unique and multiple PHAM series solutions of a class of nonlinear reactive transport model

作者：Vosoughi Hossein; Shivanian Elyas^*; Abba**andy Saeid

来源：Numerical Algorithms, 2012, 61(3): 515-524.

DOI：10.1007/s11075-012-9548-z

• Predictor homotopy analysis method
• Rule of multiplicity of solutions
• Prescribed parameter
• Reactive transport model

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.

• 出版日期2012-11