Approximate Solutions to Time-Fractional Schrödinger Equation via Homotopy Analysis Method. (28th March 2012)

• Record Type: Journal Article
• Authors: Khan, Najeeb Alam; Jamil, Muhammad; Ara, Asmat
• Other Names: Roy P. Academic Editor.; Steeb W.-H. Academic Editor.
• Is Part Of: ISRN mathematical physics. Volume 2012(2012)
• Publication Date: 2012-03-28
• Subjects: Mathematical physics -- Periodicals; Mathematical physics; Electronic journals; Periodicals; 530.15
• DOI: 10.5402/2012/197068
• Languages: English
• ISSNs: 2090-4673

Abstract

Abstract : 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.