Open AccessApplication of the homotopy perturbation method for solving fractional Lane-Emden type equation
Author(s) -
Chengzhou Wei
Publication year - 2019
Publication title -
thermal science/thermal science
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.339
H-Index - 43
eISSN - 2334-7163
pISSN - 0354-9836
DOI - 10.2298/tsci1904237w
Subject(s) - adomian decomposition method , homotopy perturbation method , homotopy analysis method , mathematics , perturbation (astronomy) , homotopy , singular perturbation , type (biology) , mathematical analysis , partial differential equation , physics , pure mathematics , ecology , quantum mechanics , biology
A new algorithm is proposed in this paper, which is based on the homotopy perturbation method incorporating the Adomian decomposition method, to solve the non-linear and singular Lane-Emden type equations. Results of the numerical examples illustrate that the algorithm is remarkably effective.