Modified Fractional Variational Iteration Method for Solving the Generalized Time-Space Fractional Schrödinger Equation
Joint Authors
Source
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-6, 6 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-09-03
Country of Publication
Egypt
No. of Pages
6
Main Subjects
Medicine
Information Technology and Computer Science
Abstract EN
Based on He’s variational iteration method idea, we modified the fractional variational iteration method and applied it to construct some approximate solutions of the generalized time-space fractional Schrödinger equation (GFNLS).
The fractional derivatives are described in the sense of Caputo.
With the help of symbolic computation, some approximate solutions and their iterative structure of the GFNLS are investigated.
Furthermore, the approximate iterative series and numerical results show that the modified fractional variational iteration method is powerful, reliable, and effective when compared with some classic traditional methods such as homotopy analysis method, homotopy perturbation method, adomian decomposition method, and variational iteration method in searching for approximate solutions of the Schrödinger equations.
American Psychological Association (APA)
Hong, Baojian& Lu, Dianchen. 2014. Modified Fractional Variational Iteration Method for Solving the Generalized Time-Space Fractional Schrödinger Equation. The Scientific World Journal،Vol. 2014, no. 2014, pp.1-6.
https://search.emarefa.net/detail/BIM-1051779
Modern Language Association (MLA)
Hong, Baojian& Lu, Dianchen. Modified Fractional Variational Iteration Method for Solving the Generalized Time-Space Fractional Schrödinger Equation. The Scientific World Journal No. 2014 (2014), pp.1-6.
https://search.emarefa.net/detail/BIM-1051779
American Medical Association (AMA)
Hong, Baojian& Lu, Dianchen. Modified Fractional Variational Iteration Method for Solving the Generalized Time-Space Fractional Schrödinger Equation. The Scientific World Journal. 2014. Vol. 2014, no. 2014, pp.1-6.
https://search.emarefa.net/detail/BIM-1051779
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1051779