Approximate Analytic Solutions of Two-Dimensional Nonlinear Klein–Gordon Equation by Using the Reduced Differential Transform Method
Joint Authors
Gizaw, Ademe Kebede
Mussa, Yesuf Obsie
Belayeh, Wayinhareg Gashaw
Source
Mathematical Problems in Engineering
Issue
Vol. 2020, Issue 2020 (31 Dec. 2020), pp.1-12, 12 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2020-12-15
Country of Publication
Egypt
No. of Pages
12
Main Subjects
Abstract EN
In this paper, the reduced differential transform method (RDTM) is successfully implemented for solving two-dimensional nonlinear Klein–Gordon equations (NLKGEs) with quadratic and cubic nonlinearities subject to appropriate initial conditions.
The proposed technique has the advantage of producing an analytical approximation in a convergent power series form with a reduced number of calculable terms.
Two test examples from mathematical physics are discussed to illustrate the validity and efficiency of the method.
In addition, numerical solutions of the test examples are presented graphically to show the reliability and accuracy of the method.
Also, the results indicate that the introduced method is promising for solving other type systems of NLPDEs.
American Psychological Association (APA)
Belayeh, Wayinhareg Gashaw& Mussa, Yesuf Obsie& Gizaw, Ademe Kebede. 2020. Approximate Analytic Solutions of Two-Dimensional Nonlinear Klein–Gordon Equation by Using the Reduced Differential Transform Method. Mathematical Problems in Engineering،Vol. 2020, no. 2020, pp.1-12.
https://search.emarefa.net/detail/BIM-1196216
Modern Language Association (MLA)
Belayeh, Wayinhareg Gashaw…[et al.]. Approximate Analytic Solutions of Two-Dimensional Nonlinear Klein–Gordon Equation by Using the Reduced Differential Transform Method. Mathematical Problems in Engineering No. 2020 (2020), pp.1-12.
https://search.emarefa.net/detail/BIM-1196216
American Medical Association (AMA)
Belayeh, Wayinhareg Gashaw& Mussa, Yesuf Obsie& Gizaw, Ademe Kebede. Approximate Analytic Solutions of Two-Dimensional Nonlinear Klein–Gordon Equation by Using the Reduced Differential Transform Method. Mathematical Problems in Engineering. 2020. Vol. 2020, no. 2020, pp.1-12.
https://search.emarefa.net/detail/BIM-1196216
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1196216