AMBIENTUM BIOETHICA BIOLOGIA CHEMIA DIGITALIA DRAMATICA EDUCATIO ARTIS GYMNAST. ENGINEERING EPHEMERIDES EUROPAEA GEOGRAPHIA GEOLOGIA HISTORIA HISTORIA ARTIUM INFORMATICA IURISPRUDENTIA MATHEMATICA MUSICA NEGOTIA OECONOMICA PHILOLOGIA PHILOSOPHIA PHYSICA POLITICA PSYCHOLOGIA-PAEDAGOGIA SOCIOLOGIA THEOLOGIA CATHOLICA THEOLOGIA CATHOLICA LATIN THEOLOGIA GR.-CATH. VARAD THEOLOGIA ORTHODOXA THEOLOGIA REF. TRANSYLVAN
|
|||||||
The STUDIA UNIVERSITATIS BABEŞ-BOLYAI issue article summary The summary of the selected article appears at the bottom of the page. In order to get back to the contents of the issue this article belongs to you have to access the link from the title. In order to see all the articles of the archive which have as author/co-author one of the authors mentioned below, you have to access the link from the author's name. |
|||||||
STUDIA MATHEMATICA - Issue no. 4 / 2012 | |||||||
Article: |
SOLVING NONLINEAR OSCILLATORS USING A MODIFIED HOMOTOPY ANALYSIS METHOD. Authors: . |
||||||
Abstract: In this paper, a new algorithm called the modified homotopy analysis method (MHAM) is presented to solve a nonlinear oscillators. The proposed scheme is based on the homotopy analysis method (HAM), Laplace transform and Pad´e approximants. Several illustrative examples are given to demonstrate the effectiveness of the present method. Results obtained using the scheme presented here agree well with those derived from the modified homotopy perturbation method (MHPM). The results reveal that the MHAM is an effective and convenient for solving nonlinear differential equations.
Mathematics Subject Classification (2010): 65K99. Keywords: Nonlinear oscillators, homotopy analysis method, Laplace transform; Padé approximants. |
|||||||