Approximate Solutions to Time-Fractional Schrödinger Equation via Homotopy Analysis Method
Joint Authors
Jamil, Muhammad
Ara, Ismat
Khan, Najeeb Alam
Source
Issue
Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-11, 11 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2012-03-28
Country of Publication
Egypt
No. of Pages
11
Main Subjects
Abstract EN
We construct the approximate solutions of the time-fractional Schrödinger equations, with zero and nonzero trapping potential, by homotopy analysis method (HAM).
The fractional derivatives, in the Caputo sense, are used.
The method is capable of reducing the size of calculations and handles nonlinear-coupled equations in a direct manner.
The results show that HAM is more promising, convenient, efficient and less computational than differential transform method (DTM), and easy to apply in spaces of higher dimensions as well.
American Psychological Association (APA)
Khan, Najeeb Alam& Jamil, Muhammad& Ara, Ismat. 2012. Approximate Solutions to Time-Fractional Schrödinger Equation via Homotopy Analysis Method. ISRN Mathematical Physics،Vol. 2012, no. 2012, pp.1-11.
https://search.emarefa.net/detail/BIM-453756
Modern Language Association (MLA)
Khan, Najeeb Alam…[et al.]. Approximate Solutions to Time-Fractional Schrödinger Equation via Homotopy Analysis Method. ISRN Mathematical Physics No. 2012 (2012), pp.1-11.
https://search.emarefa.net/detail/BIM-453756
American Medical Association (AMA)
Khan, Najeeb Alam& Jamil, Muhammad& Ara, Ismat. Approximate Solutions to Time-Fractional Schrödinger Equation via Homotopy Analysis Method. ISRN Mathematical Physics. 2012. Vol. 2012, no. 2012, pp.1-11.
https://search.emarefa.net/detail/BIM-453756
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-453756