Nonlinear Klein-Gordon and Schrödinger Equations by the Projected Differential Transform Method
Joint Authors
Source
Issue
Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-15, 15 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2012-08-07
Country of Publication
Egypt
No. of Pages
15
Main Subjects
Abstract EN
The differential transform method (DTM) is based on the Taylor series for all variables, but it differs from the traditional Taylor series in calculating coefficients.
Even if the DTM is an effective numerical method for solving many nonlinear partial differential equations, there are also some difficulties due to the complex nonlinearity.
To overcome difficulties arising in DTM, we present the new modified version of DTM, namely, the projected differential transform method (PDTM), for solving nonlinear partial differential equations.
The proposed method is applied to solve the various nonlinear Klein-Gordon and Schrödinger equations.
Numerical approximations performed by the PDTM are presented and compared with the results obtained by other numerical methods.
The results reveal that PDTM is a simple and effective numerical algorithm.
American Psychological Association (APA)
Do, Younghae& Jang, Bongsoo. 2012. Nonlinear Klein-Gordon and Schrödinger Equations by the Projected Differential Transform Method. Abstract and Applied Analysis،Vol. 2012, no. 2012, pp.1-15.
https://search.emarefa.net/detail/BIM-449794
Modern Language Association (MLA)
Do, Younghae& Jang, Bongsoo. Nonlinear Klein-Gordon and Schrödinger Equations by the Projected Differential Transform Method. Abstract and Applied Analysis No. 2012 (2012), pp.1-15.
https://search.emarefa.net/detail/BIM-449794
American Medical Association (AMA)
Do, Younghae& Jang, Bongsoo. Nonlinear Klein-Gordon and Schrödinger Equations by the Projected Differential Transform Method. Abstract and Applied Analysis. 2012. Vol. 2012, no. 2012, pp.1-15.
https://search.emarefa.net/detail/BIM-449794
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-449794