Title :
A method to select the initial guess solution, auxiliary linear operator and set of basic functions of homotopy analysis method
Author :
Yinshan ; Chaolu, T.
Author_Institution :
Coll. of Sci., Inner Mongolia Univ. of Technol., Hohhot, China
Abstract :
In this paper, we clearly give a method to determine the initial guess solution, auxiliary linear operator and set of basic functions of the homotopy analysis method one by one. As application, we considered the Thomas-Fermi equation and non-linear heat transfer equation to illustrate the effectiveness and convenience of the suggested method.
Keywords :
Thomas-Fermi model; heat transfer; nonlinear equations; Thomas-Fermi equation; auxiliary linear operator; homotopy analysis method; initial guess solution; nonlinear heat transfer equation; Gold; component; homotopy analysis method; the auxiliary linear operator; the initial guess solution; the set of basic functions;
Conference_Titel :
Intelligent Computing and Integrated Systems (ICISS), 2010 International Conference on
Conference_Location :
Guilin
Print_ISBN :
978-1-4244-6834-8
DOI :
10.1109/ICISS.2010.5656089
