Open AccessApproximate solutions of fractional non-linear evolution equations
Author(s) -
Xiu-Fen Gu,
Qiu-Ya Wang,
Zhaohai Meng,
Yanqin Liu
Publication year - 2014
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/tsci1405553g
Subject(s) - laplace transform , mathematics , lagrange multiplier , homotopy perturbation method , fractional calculus , convergence (economics) , multiplier (economics) , homotopy analysis method , mathematical analysis , homotopy , mathematical optimization , pure mathematics , economics , macroeconomics , economic growth
A novel method which is based on variational iteration method, Laplace transform, and homotopy perturbation method is proposed, and this new method is applied to obtain the approximate solution of the fractional non-linear Boussinessq-type equation. The fractional Lagrange multiplier is accurately determined by the Laplace transform and the non-linear term can be easily handled by He’s polynomials. The result demonstrates accuracy and fast convergence of this new algorithm